A class of αβγ-Bernstein–Bézier basis functions over triangular domain
A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Béz...
Ausführliche Beschreibung
Autor*in: |
Zhu, Yuanpeng [verfasserIn] |
---|
Format: |
E-Artikel |
---|---|
Sprache: |
Englisch |
Erschienen: |
2013transfer abstract |
---|
Schlagwörter: |
---|
Systematik: |
|
---|
Umfang: |
9 |
---|
Übergeordnetes Werk: |
Enthalten in: Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation - Moreira, Zeus S. ELSEVIER, 2021, New York, NY |
---|---|
Übergeordnetes Werk: |
volume:220 ; year:2013 ; day:1 ; month:09 ; pages:446-454 ; extent:9 |
Links: |
---|
DOI / URN: |
10.1016/j.amc.2013.06.043 |
---|
Katalog-ID: |
ELV021642559 |
---|
LEADER | 01000caa a22002652 4500 | ||
---|---|---|---|
001 | ELV021642559 | ||
003 | DE-627 | ||
005 | 20230625133944.0 | ||
007 | cr uuu---uuuuu | ||
008 | 180603s2013 xx |||||o 00| ||eng c | ||
024 | 7 | |a 10.1016/j.amc.2013.06.043 |2 doi | |
028 | 5 | 2 | |a GBVA2013002000022.pica |
035 | |a (DE-627)ELV021642559 | ||
035 | |a (ELSEVIER)S0096-3003(13)00682-6 | ||
040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
041 | |a eng | ||
082 | 0 | |a 510 | |
082 | 0 | 4 | |a 510 |q DE-600 |
082 | 0 | 4 | |a 530 |q VZ |
084 | |a UA 1000 |q VZ |2 rvk |0 (DE-625)rvk/145215: | ||
084 | |a 33.40 |2 bkl | ||
084 | |a 33.50 |2 bkl | ||
084 | |a 39.22 |2 bkl | ||
100 | 1 | |a Zhu, Yuanpeng |e verfasserin |4 aut | |
245 | 1 | 0 | |a A class of αβγ-Bernstein–Bézier basis functions over triangular domain |
264 | 1 | |c 2013transfer abstract | |
300 | |a 9 | ||
336 | |a nicht spezifiziert |b zzz |2 rdacontent | ||
337 | |a nicht spezifiziert |b z |2 rdamedia | ||
338 | |a nicht spezifiziert |b zu |2 rdacarrier | ||
520 | |a A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. | ||
520 | |a A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. | ||
650 | 7 | |a Geometric continuity |2 Elsevier | |
650 | 7 | |a Ball basis |2 Elsevier | |
650 | 7 | |a Bernstein–Bézier basis |2 Elsevier | |
650 | 7 | |a Triangular Bernstein–Bézier patch |2 Elsevier | |
650 | 7 | |a Shape parameter |2 Elsevier | |
700 | 1 | |a Han, Xuli |4 oth | |
773 | 0 | 8 | |i Enthalten in |n Elsevier |a Moreira, Zeus S. ELSEVIER |t Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation |d 2021 |g New York, NY |w (DE-627)ELV006733727 |
773 | 1 | 8 | |g volume:220 |g year:2013 |g day:1 |g month:09 |g pages:446-454 |g extent:9 |
856 | 4 | 0 | |u https://doi.org/10.1016/j.amc.2013.06.043 |3 Volltext |
912 | |a GBV_USEFLAG_U | ||
912 | |a GBV_ELV | ||
912 | |a SYSFLAG_U | ||
912 | |a SSG-OLC-PHY | ||
912 | |a SSG-OPC-AST | ||
936 | r | v | |a UA 1000 |b Referateblätter und Zeitschriften |k Physik |k Referateblätter und Zeitschriften |0 (DE-625)rvk/145215: |0 (DE-576)329175343 |
936 | b | k | |a 33.40 |j Kernphysik |q VZ |
936 | b | k | |a 33.50 |j Physik der Elementarteilchen und Felder: Allgemeines |q VZ |
936 | b | k | |a 39.22 |j Astrophysik |q VZ |
951 | |a AR | ||
952 | |d 220 |j 2013 |b 1 |c 0901 |h 446-454 |g 9 | ||
953 | |2 045F |a 510 |
author_variant |
y z yz |
---|---|
matchkey_str |
zhuyuanpenghanxuli:2013----:casfentibiraifntosvrr |
hierarchy_sort_str |
2013transfer abstract |
bklnumber |
33.40 33.50 39.22 |
publishDate |
2013 |
allfields |
10.1016/j.amc.2013.06.043 doi GBVA2013002000022.pica (DE-627)ELV021642559 (ELSEVIER)S0096-3003(13)00682-6 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Zhu, Yuanpeng verfasserin aut A class of αβγ-Bernstein–Bézier basis functions over triangular domain 2013transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. Geometric continuity Elsevier Ball basis Elsevier Bernstein–Bézier basis Elsevier Triangular Bernstein–Bézier patch Elsevier Shape parameter Elsevier Han, Xuli oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:220 year:2013 day:1 month:09 pages:446-454 extent:9 https://doi.org/10.1016/j.amc.2013.06.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 220 2013 1 0901 446-454 9 045F 510 |
spelling |
10.1016/j.amc.2013.06.043 doi GBVA2013002000022.pica (DE-627)ELV021642559 (ELSEVIER)S0096-3003(13)00682-6 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Zhu, Yuanpeng verfasserin aut A class of αβγ-Bernstein–Bézier basis functions over triangular domain 2013transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. Geometric continuity Elsevier Ball basis Elsevier Bernstein–Bézier basis Elsevier Triangular Bernstein–Bézier patch Elsevier Shape parameter Elsevier Han, Xuli oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:220 year:2013 day:1 month:09 pages:446-454 extent:9 https://doi.org/10.1016/j.amc.2013.06.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 220 2013 1 0901 446-454 9 045F 510 |
allfields_unstemmed |
10.1016/j.amc.2013.06.043 doi GBVA2013002000022.pica (DE-627)ELV021642559 (ELSEVIER)S0096-3003(13)00682-6 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Zhu, Yuanpeng verfasserin aut A class of αβγ-Bernstein–Bézier basis functions over triangular domain 2013transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. Geometric continuity Elsevier Ball basis Elsevier Bernstein–Bézier basis Elsevier Triangular Bernstein–Bézier patch Elsevier Shape parameter Elsevier Han, Xuli oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:220 year:2013 day:1 month:09 pages:446-454 extent:9 https://doi.org/10.1016/j.amc.2013.06.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 220 2013 1 0901 446-454 9 045F 510 |
allfieldsGer |
10.1016/j.amc.2013.06.043 doi GBVA2013002000022.pica (DE-627)ELV021642559 (ELSEVIER)S0096-3003(13)00682-6 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Zhu, Yuanpeng verfasserin aut A class of αβγ-Bernstein–Bézier basis functions over triangular domain 2013transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. Geometric continuity Elsevier Ball basis Elsevier Bernstein–Bézier basis Elsevier Triangular Bernstein–Bézier patch Elsevier Shape parameter Elsevier Han, Xuli oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:220 year:2013 day:1 month:09 pages:446-454 extent:9 https://doi.org/10.1016/j.amc.2013.06.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 220 2013 1 0901 446-454 9 045F 510 |
allfieldsSound |
10.1016/j.amc.2013.06.043 doi GBVA2013002000022.pica (DE-627)ELV021642559 (ELSEVIER)S0096-3003(13)00682-6 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Zhu, Yuanpeng verfasserin aut A class of αβγ-Bernstein–Bézier basis functions over triangular domain 2013transfer abstract 9 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. Geometric continuity Elsevier Ball basis Elsevier Bernstein–Bézier basis Elsevier Triangular Bernstein–Bézier patch Elsevier Shape parameter Elsevier Han, Xuli oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:220 year:2013 day:1 month:09 pages:446-454 extent:9 https://doi.org/10.1016/j.amc.2013.06.043 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 220 2013 1 0901 446-454 9 045F 510 |
language |
English |
source |
Enthalten in Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation New York, NY volume:220 year:2013 day:1 month:09 pages:446-454 extent:9 |
sourceStr |
Enthalten in Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation New York, NY volume:220 year:2013 day:1 month:09 pages:446-454 extent:9 |
format_phy_str_mv |
Article |
bklname |
Kernphysik Physik der Elementarteilchen und Felder: Allgemeines Astrophysik |
institution |
findex.gbv.de |
topic_facet |
Geometric continuity Ball basis Bernstein–Bézier basis Triangular Bernstein–Bézier patch Shape parameter |
dewey-raw |
510 |
isfreeaccess_bool |
false |
container_title |
Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation |
authorswithroles_txt_mv |
Zhu, Yuanpeng @@aut@@ Han, Xuli @@oth@@ |
publishDateDaySort_date |
2013-01-01T00:00:00Z |
hierarchy_top_id |
ELV006733727 |
dewey-sort |
3510 |
id |
ELV021642559 |
language_de |
englisch |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV021642559</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230625133944.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2013 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.amc.2013.06.043</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2013002000022.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV021642559</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0096-3003(13)00682-6</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UA 1000</subfield><subfield code="q">VZ</subfield><subfield code="2">rvk</subfield><subfield code="0">(DE-625)rvk/145215:</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">33.40</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">33.50</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">39.22</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zhu, Yuanpeng</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A class of αβγ-Bernstein–Bézier basis functions over triangular domain</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2013transfer abstract</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">9</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Geometric continuity</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Ball basis</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Bernstein–Bézier basis</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Triangular Bernstein–Bézier patch</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Shape parameter</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Han, Xuli</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier</subfield><subfield code="a">Moreira, Zeus S. ELSEVIER</subfield><subfield code="t">Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation</subfield><subfield code="d">2021</subfield><subfield code="g">New York, NY</subfield><subfield code="w">(DE-627)ELV006733727</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:220</subfield><subfield code="g">year:2013</subfield><subfield code="g">day:1</subfield><subfield code="g">month:09</subfield><subfield code="g">pages:446-454</subfield><subfield code="g">extent:9</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.amc.2013.06.043</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-AST</subfield></datafield><datafield tag="936" ind1="r" ind2="v"><subfield code="a">UA 1000</subfield><subfield code="b">Referateblätter und Zeitschriften</subfield><subfield code="k">Physik</subfield><subfield code="k">Referateblätter und Zeitschriften</subfield><subfield code="0">(DE-625)rvk/145215:</subfield><subfield code="0">(DE-576)329175343</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">33.40</subfield><subfield code="j">Kernphysik</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">33.50</subfield><subfield code="j">Physik der Elementarteilchen und Felder: Allgemeines</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">39.22</subfield><subfield code="j">Astrophysik</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">220</subfield><subfield code="j">2013</subfield><subfield code="b">1</subfield><subfield code="c">0901</subfield><subfield code="h">446-454</subfield><subfield code="g">9</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">510</subfield></datafield></record></collection>
|
author |
Zhu, Yuanpeng |
spellingShingle |
Zhu, Yuanpeng ddc 510 ddc 530 rvk UA 1000 bkl 33.40 bkl 33.50 bkl 39.22 Elsevier Geometric continuity Elsevier Ball basis Elsevier Bernstein–Bézier basis Elsevier Triangular Bernstein–Bézier patch Elsevier Shape parameter A class of αβγ-Bernstein–Bézier basis functions over triangular domain |
authorStr |
Zhu, Yuanpeng |
ppnlink_with_tag_str_mv |
@@773@@(DE-627)ELV006733727 |
format |
electronic Article |
dewey-ones |
510 - Mathematics 530 - Physics |
delete_txt_mv |
keep |
author_role |
aut |
collection |
elsevier |
remote_str |
true |
illustrated |
Not Illustrated |
topic_title |
510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215 33.40 bkl 33.50 bkl 39.22 bkl A class of αβγ-Bernstein–Bézier basis functions over triangular domain Geometric continuity Elsevier Ball basis Elsevier Bernstein–Bézier basis Elsevier Triangular Bernstein–Bézier patch Elsevier Shape parameter Elsevier |
topic |
ddc 510 ddc 530 rvk UA 1000 bkl 33.40 bkl 33.50 bkl 39.22 Elsevier Geometric continuity Elsevier Ball basis Elsevier Bernstein–Bézier basis Elsevier Triangular Bernstein–Bézier patch Elsevier Shape parameter |
topic_unstemmed |
ddc 510 ddc 530 rvk UA 1000 bkl 33.40 bkl 33.50 bkl 39.22 Elsevier Geometric continuity Elsevier Ball basis Elsevier Bernstein–Bézier basis Elsevier Triangular Bernstein–Bézier patch Elsevier Shape parameter |
topic_browse |
ddc 510 ddc 530 rvk UA 1000 bkl 33.40 bkl 33.50 bkl 39.22 Elsevier Geometric continuity Elsevier Ball basis Elsevier Bernstein–Bézier basis Elsevier Triangular Bernstein–Bézier patch Elsevier Shape parameter |
format_facet |
Elektronische Aufsätze Aufsätze Elektronische Ressource |
format_main_str_mv |
Text Zeitschrift/Artikel |
carriertype_str_mv |
zu |
author2_variant |
x h xh |
hierarchy_parent_title |
Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation |
hierarchy_parent_id |
ELV006733727 |
dewey-tens |
510 - Mathematics 530 - Physics |
hierarchy_top_title |
Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation |
isfreeaccess_txt |
false |
familylinks_str_mv |
(DE-627)ELV006733727 |
title |
A class of αβγ-Bernstein–Bézier basis functions over triangular domain |
ctrlnum |
(DE-627)ELV021642559 (ELSEVIER)S0096-3003(13)00682-6 |
title_full |
A class of αβγ-Bernstein–Bézier basis functions over triangular domain |
author_sort |
Zhu, Yuanpeng |
journal |
Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation |
journalStr |
Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation |
lang_code |
eng |
isOA_bool |
false |
dewey-hundreds |
500 - Science |
recordtype |
marc |
publishDateSort |
2013 |
contenttype_str_mv |
zzz |
container_start_page |
446 |
author_browse |
Zhu, Yuanpeng |
container_volume |
220 |
physical |
9 |
class |
510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215 33.40 bkl 33.50 bkl 39.22 bkl |
format_se |
Elektronische Aufsätze |
author-letter |
Zhu, Yuanpeng |
doi_str_mv |
10.1016/j.amc.2013.06.043 |
normlink |
RVK/145215: 329175343 |
normlink_prefix_str_mv |
(DE-625)rvk/145215: (DE-576)329175343 |
dewey-full |
510 530 |
title_sort |
a class of αβγ-bernstein–bézier basis functions over triangular domain |
title_auth |
A class of αβγ-Bernstein–Bézier basis functions over triangular domain |
abstract |
A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. |
abstractGer |
A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. |
abstract_unstemmed |
A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given. |
collection_details |
GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST |
title_short |
A class of αβγ-Bernstein–Bézier basis functions over triangular domain |
url |
https://doi.org/10.1016/j.amc.2013.06.043 |
remote_bool |
true |
author2 |
Han, Xuli |
author2Str |
Han, Xuli |
ppnlink |
ELV006733727 |
mediatype_str_mv |
z |
isOA_txt |
false |
hochschulschrift_bool |
false |
author2_role |
oth |
doi_str |
10.1016/j.amc.2013.06.043 |
up_date |
2024-07-06T20:08:42.800Z |
_version_ |
1803861646692581376 |
fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV021642559</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230625133944.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2013 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.amc.2013.06.043</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2013002000022.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV021642559</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0096-3003(13)00682-6</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UA 1000</subfield><subfield code="q">VZ</subfield><subfield code="2">rvk</subfield><subfield code="0">(DE-625)rvk/145215:</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">33.40</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">33.50</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">39.22</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zhu, Yuanpeng</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A class of αβγ-Bernstein–Bézier basis functions over triangular domain</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2013transfer abstract</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">9</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">A class of α β γ -Bernstein–Bézier basis functions over triangular domain, which include the cubic Ball basis functions over triangular domain and the cubic Bernstein–Bézier basis functions over triangular domain, is constructed. Based on these new basis functions, a kind of triangular Bernstein–Bézier-type patch with three exponential shape parameters is proposed. The shapes of the triangular Bernstein–Bézier-type patch can be modified intuitively and foreseeable by changing the values of the three exponential shape parameters under the same control net. The conditions for G 1 continuous smooth joining two triangular Bernstein–Bézier-type patches are given.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Geometric continuity</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Ball basis</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Bernstein–Bézier basis</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Triangular Bernstein–Bézier patch</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Shape parameter</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Han, Xuli</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier</subfield><subfield code="a">Moreira, Zeus S. ELSEVIER</subfield><subfield code="t">Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation</subfield><subfield code="d">2021</subfield><subfield code="g">New York, NY</subfield><subfield code="w">(DE-627)ELV006733727</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:220</subfield><subfield code="g">year:2013</subfield><subfield code="g">day:1</subfield><subfield code="g">month:09</subfield><subfield code="g">pages:446-454</subfield><subfield code="g">extent:9</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.amc.2013.06.043</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-AST</subfield></datafield><datafield tag="936" ind1="r" ind2="v"><subfield code="a">UA 1000</subfield><subfield code="b">Referateblätter und Zeitschriften</subfield><subfield code="k">Physik</subfield><subfield code="k">Referateblätter und Zeitschriften</subfield><subfield code="0">(DE-625)rvk/145215:</subfield><subfield code="0">(DE-576)329175343</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">33.40</subfield><subfield code="j">Kernphysik</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">33.50</subfield><subfield code="j">Physik der Elementarteilchen und Felder: Allgemeines</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">39.22</subfield><subfield code="j">Astrophysik</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">220</subfield><subfield code="j">2013</subfield><subfield code="b">1</subfield><subfield code="c">0901</subfield><subfield code="h">446-454</subfield><subfield code="g">9</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">510</subfield></datafield></record></collection>
|
score |
7.3996735 |