G 1 interpolation by rational cubic PH curves in R 3
In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form rep...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kozak, Jernej [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2016transfer abstract |
|---|
| Schlagwörter: |
|---|
| Umfang: |
16 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst - Zhao, Guangyu ELSEVIER, 2014transfer abstract, CAGD, Amsterdam |
|---|---|
| Übergeordnetes Werk: |
volume:42 ; year:2016 ; pages:7-22 ; extent:16 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.cagd.2015.12.005 |
|---|
| Katalog-ID: |
ELV029516935 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | ELV029516935 | ||
| 003 | DE-627 | ||
| 005 | 20230625174226.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180603s2016 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.cagd.2015.12.005 |2 doi | |
| 028 | 5 | 2 | |a GBVA2016004000004.pica |
| 035 | |a (DE-627)ELV029516935 | ||
| 035 | |a (ELSEVIER)S0167-8396(15)00144-2 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | |a 004 | |
| 082 | 0 | 4 | |a 004 |q DE-600 |
| 082 | 0 | 4 | |a 620 |q VZ |
| 082 | 0 | 4 | |a 690 |q VZ |
| 084 | |a 50.92 |2 bkl | ||
| 100 | 1 | |a Kozak, Jernej |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a G 1 interpolation by rational cubic PH curves in R 3 |
| 264 | 1 | |c 2016transfer abstract | |
| 300 | |a 16 | ||
| 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 In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. | ||
| 520 | |a In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. | ||
| 650 | 7 | |a G 1 interpolation |2 Elsevier | |
| 650 | 7 | |a Pythagorean-hodograph |2 Elsevier | |
| 650 | 7 | |a Cubic rational curves |2 Elsevier | |
| 650 | 7 | |a Homotopy analysis |2 Elsevier | |
| 700 | 1 | |a Krajnc, Marjeta |4 oth | |
| 700 | 1 | |a Vitrih, Vito |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n Elsevier Science |a Zhao, Guangyu ELSEVIER |t Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst |d 2014transfer abstract |d CAGD |g Amsterdam |w (DE-627)ELV017512026 |
| 773 | 1 | 8 | |g volume:42 |g year:2016 |g pages:7-22 |g extent:16 |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.cagd.2015.12.005 |3 Volltext |
| 912 | |a GBV_USEFLAG_U | ||
| 912 | |a GBV_ELV | ||
| 912 | |a SYSFLAG_U | ||
| 912 | |a GBV_ILN_70 | ||
| 936 | b | k | |a 50.92 |j Meerestechnik |q VZ |
| 951 | |a AR | ||
| 952 | |d 42 |j 2016 |h 7-22 |g 16 | ||
| 953 | |2 045F |a 004 | ||
| author_variant |
j k jk |
|---|---|
| matchkey_str |
kozakjernejkrajncmarjetavitrihvito:2016----:1nepltobrtoacbc |
| hierarchy_sort_str |
2016transfer abstract |
| bklnumber |
50.92 |
| publishDate |
2016 |
| allfields |
10.1016/j.cagd.2015.12.005 doi GBVA2016004000004.pica (DE-627)ELV029516935 (ELSEVIER)S0167-8396(15)00144-2 DE-627 ger DE-627 rakwb eng 004 004 DE-600 620 VZ 690 VZ 50.92 bkl Kozak, Jernej verfasserin aut G 1 interpolation by rational cubic PH curves in R 3 2016transfer abstract 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. G 1 interpolation Elsevier Pythagorean-hodograph Elsevier Cubic rational curves Elsevier Homotopy analysis Elsevier Krajnc, Marjeta oth Vitrih, Vito oth Enthalten in Elsevier Science Zhao, Guangyu ELSEVIER Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst 2014transfer abstract CAGD Amsterdam (DE-627)ELV017512026 volume:42 year:2016 pages:7-22 extent:16 https://doi.org/10.1016/j.cagd.2015.12.005 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 42 2016 7-22 16 045F 004 |
| spelling |
10.1016/j.cagd.2015.12.005 doi GBVA2016004000004.pica (DE-627)ELV029516935 (ELSEVIER)S0167-8396(15)00144-2 DE-627 ger DE-627 rakwb eng 004 004 DE-600 620 VZ 690 VZ 50.92 bkl Kozak, Jernej verfasserin aut G 1 interpolation by rational cubic PH curves in R 3 2016transfer abstract 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. G 1 interpolation Elsevier Pythagorean-hodograph Elsevier Cubic rational curves Elsevier Homotopy analysis Elsevier Krajnc, Marjeta oth Vitrih, Vito oth Enthalten in Elsevier Science Zhao, Guangyu ELSEVIER Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst 2014transfer abstract CAGD Amsterdam (DE-627)ELV017512026 volume:42 year:2016 pages:7-22 extent:16 https://doi.org/10.1016/j.cagd.2015.12.005 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 42 2016 7-22 16 045F 004 |
| allfields_unstemmed |
10.1016/j.cagd.2015.12.005 doi GBVA2016004000004.pica (DE-627)ELV029516935 (ELSEVIER)S0167-8396(15)00144-2 DE-627 ger DE-627 rakwb eng 004 004 DE-600 620 VZ 690 VZ 50.92 bkl Kozak, Jernej verfasserin aut G 1 interpolation by rational cubic PH curves in R 3 2016transfer abstract 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. G 1 interpolation Elsevier Pythagorean-hodograph Elsevier Cubic rational curves Elsevier Homotopy analysis Elsevier Krajnc, Marjeta oth Vitrih, Vito oth Enthalten in Elsevier Science Zhao, Guangyu ELSEVIER Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst 2014transfer abstract CAGD Amsterdam (DE-627)ELV017512026 volume:42 year:2016 pages:7-22 extent:16 https://doi.org/10.1016/j.cagd.2015.12.005 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 42 2016 7-22 16 045F 004 |
| allfieldsGer |
10.1016/j.cagd.2015.12.005 doi GBVA2016004000004.pica (DE-627)ELV029516935 (ELSEVIER)S0167-8396(15)00144-2 DE-627 ger DE-627 rakwb eng 004 004 DE-600 620 VZ 690 VZ 50.92 bkl Kozak, Jernej verfasserin aut G 1 interpolation by rational cubic PH curves in R 3 2016transfer abstract 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. G 1 interpolation Elsevier Pythagorean-hodograph Elsevier Cubic rational curves Elsevier Homotopy analysis Elsevier Krajnc, Marjeta oth Vitrih, Vito oth Enthalten in Elsevier Science Zhao, Guangyu ELSEVIER Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst 2014transfer abstract CAGD Amsterdam (DE-627)ELV017512026 volume:42 year:2016 pages:7-22 extent:16 https://doi.org/10.1016/j.cagd.2015.12.005 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 42 2016 7-22 16 045F 004 |
| allfieldsSound |
10.1016/j.cagd.2015.12.005 doi GBVA2016004000004.pica (DE-627)ELV029516935 (ELSEVIER)S0167-8396(15)00144-2 DE-627 ger DE-627 rakwb eng 004 004 DE-600 620 VZ 690 VZ 50.92 bkl Kozak, Jernej verfasserin aut G 1 interpolation by rational cubic PH curves in R 3 2016transfer abstract 16 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. G 1 interpolation Elsevier Pythagorean-hodograph Elsevier Cubic rational curves Elsevier Homotopy analysis Elsevier Krajnc, Marjeta oth Vitrih, Vito oth Enthalten in Elsevier Science Zhao, Guangyu ELSEVIER Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst 2014transfer abstract CAGD Amsterdam (DE-627)ELV017512026 volume:42 year:2016 pages:7-22 extent:16 https://doi.org/10.1016/j.cagd.2015.12.005 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 50.92 Meerestechnik VZ AR 42 2016 7-22 16 045F 004 |
| language |
English |
| source |
Enthalten in Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst Amsterdam volume:42 year:2016 pages:7-22 extent:16 |
| sourceStr |
Enthalten in Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst Amsterdam volume:42 year:2016 pages:7-22 extent:16 |
| format_phy_str_mv |
Article |
| bklname |
Meerestechnik |
| institution |
findex.gbv.de |
| topic_facet |
G 1 interpolation Pythagorean-hodograph Cubic rational curves Homotopy analysis |
| dewey-raw |
004 |
| isfreeaccess_bool |
false |
| container_title |
Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst |
| authorswithroles_txt_mv |
Kozak, Jernej @@aut@@ Krajnc, Marjeta @@oth@@ Vitrih, Vito @@oth@@ |
| publishDateDaySort_date |
2016-01-01T00:00:00Z |
| hierarchy_top_id |
ELV017512026 |
| dewey-sort |
14 |
| id |
ELV029516935 |
| 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">ELV029516935</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230625174226.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2016 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.cagd.2015.12.005</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2016004000004.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV029516935</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0167-8396(15)00144-2</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">004</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">004</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">620</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">690</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">50.92</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kozak, Jernej</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">G 1 interpolation by rational cubic PH curves in R 3</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2016transfer abstract</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">16</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">In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">G 1 interpolation</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Pythagorean-hodograph</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Cubic rational curves</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Homotopy analysis</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Krajnc, Marjeta</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vitrih, Vito</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier Science</subfield><subfield code="a">Zhao, Guangyu ELSEVIER</subfield><subfield code="t">Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst</subfield><subfield code="d">2014transfer abstract</subfield><subfield code="d">CAGD</subfield><subfield code="g">Amsterdam</subfield><subfield code="w">(DE-627)ELV017512026</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:42</subfield><subfield code="g">year:2016</subfield><subfield code="g">pages:7-22</subfield><subfield code="g">extent:16</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.cagd.2015.12.005</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">GBV_ILN_70</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">50.92</subfield><subfield code="j">Meerestechnik</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">42</subfield><subfield code="j">2016</subfield><subfield code="h">7-22</subfield><subfield code="g">16</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">004</subfield></datafield></record></collection>
|
| author |
Kozak, Jernej |
| spellingShingle |
Kozak, Jernej ddc 004 ddc 620 ddc 690 bkl 50.92 Elsevier G 1 interpolation Elsevier Pythagorean-hodograph Elsevier Cubic rational curves Elsevier Homotopy analysis G 1 interpolation by rational cubic PH curves in R 3 |
| authorStr |
Kozak, Jernej |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)ELV017512026 |
| format |
electronic Article |
| dewey-ones |
004 - Data processing & computer science 620 - Engineering & allied operations 690 - Buildings |
| delete_txt_mv |
keep |
| author_role |
aut |
| collection |
elsevier |
| remote_str |
true |
| illustrated |
Not Illustrated |
| topic_title |
004 004 DE-600 620 VZ 690 VZ 50.92 bkl G 1 interpolation by rational cubic PH curves in R 3 G 1 interpolation Elsevier Pythagorean-hodograph Elsevier Cubic rational curves Elsevier Homotopy analysis Elsevier |
| topic |
ddc 004 ddc 620 ddc 690 bkl 50.92 Elsevier G 1 interpolation Elsevier Pythagorean-hodograph Elsevier Cubic rational curves Elsevier Homotopy analysis |
| topic_unstemmed |
ddc 004 ddc 620 ddc 690 bkl 50.92 Elsevier G 1 interpolation Elsevier Pythagorean-hodograph Elsevier Cubic rational curves Elsevier Homotopy analysis |
| topic_browse |
ddc 004 ddc 620 ddc 690 bkl 50.92 Elsevier G 1 interpolation Elsevier Pythagorean-hodograph Elsevier Cubic rational curves Elsevier Homotopy analysis |
| format_facet |
Elektronische Aufsätze Aufsätze Elektronische Ressource |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
zu |
| author2_variant |
m k mk v v vv |
| hierarchy_parent_title |
Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst |
| hierarchy_parent_id |
ELV017512026 |
| dewey-tens |
000 - Computer science, knowledge & systems 620 - Engineering 690 - Building & construction |
| hierarchy_top_title |
Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)ELV017512026 |
| title |
G 1 interpolation by rational cubic PH curves in R 3 |
| ctrlnum |
(DE-627)ELV029516935 (ELSEVIER)S0167-8396(15)00144-2 |
| title_full |
G 1 interpolation by rational cubic PH curves in R 3 |
| author_sort |
Kozak, Jernej |
| journal |
Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst |
| journalStr |
Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
000 - Computer science, information & general works 600 - Technology |
| recordtype |
marc |
| publishDateSort |
2016 |
| contenttype_str_mv |
zzz |
| container_start_page |
7 |
| author_browse |
Kozak, Jernej |
| container_volume |
42 |
| physical |
16 |
| class |
004 004 DE-600 620 VZ 690 VZ 50.92 bkl |
| format_se |
Elektronische Aufsätze |
| author-letter |
Kozak, Jernej |
| doi_str_mv |
10.1016/j.cagd.2015.12.005 |
| dewey-full |
004 620 690 |
| title_sort |
g 1 interpolation by rational cubic ph curves in r 3 |
| title_auth |
G 1 interpolation by rational cubic PH curves in R 3 |
| abstract |
In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. |
| abstractGer |
In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. |
| abstract_unstemmed |
In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions. |
| collection_details |
GBV_USEFLAG_U GBV_ELV SYSFLAG_U GBV_ILN_70 |
| title_short |
G 1 interpolation by rational cubic PH curves in R 3 |
| url |
https://doi.org/10.1016/j.cagd.2015.12.005 |
| remote_bool |
true |
| author2 |
Krajnc, Marjeta Vitrih, Vito |
| author2Str |
Krajnc, Marjeta Vitrih, Vito |
| ppnlink |
ELV017512026 |
| mediatype_str_mv |
z |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| author2_role |
oth oth |
| doi_str |
10.1016/j.cagd.2015.12.005 |
| up_date |
2024-07-06T21:40:13.822Z |
| _version_ |
1803867404446466048 |
| 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">ELV029516935</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230625174226.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2016 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.cagd.2015.12.005</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2016004000004.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV029516935</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0167-8396(15)00144-2</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">004</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">004</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">620</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">690</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">50.92</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kozak, Jernej</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">G 1 interpolation by rational cubic PH curves in R 3</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2016transfer abstract</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">16</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">In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this paper the G 1 interpolation of two data points and two tangent directions with spatial cubic rational PH curves is considered. It is shown that interpolants exist for any true spatial data configuration. The equations that determine the interpolants are derived by combining a closed form representation of a ten parametric family of rational PH cubics given in , and the Gram matrix approach. The existence of a solution is proven by using a homotopy analysis, and numerical method to compute solutions is proposed. In contrast to polynomial PH cubics for which the range of G 1 data admitting the existence of interpolants is limited, a switch to rationals provides an interpolation scheme with no restrictions.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">G 1 interpolation</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Pythagorean-hodograph</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Cubic rational curves</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Homotopy analysis</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Krajnc, Marjeta</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Vitrih, Vito</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">Elsevier Science</subfield><subfield code="a">Zhao, Guangyu ELSEVIER</subfield><subfield code="t">Carbon and binder free rechargeable Li–O2 battery cathode with Pt/Co3O4 flake arrays as catalyst</subfield><subfield code="d">2014transfer abstract</subfield><subfield code="d">CAGD</subfield><subfield code="g">Amsterdam</subfield><subfield code="w">(DE-627)ELV017512026</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:42</subfield><subfield code="g">year:2016</subfield><subfield code="g">pages:7-22</subfield><subfield code="g">extent:16</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.cagd.2015.12.005</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">GBV_ILN_70</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">50.92</subfield><subfield code="j">Meerestechnik</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">42</subfield><subfield code="j">2016</subfield><subfield code="h">7-22</subfield><subfield code="g">16</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">004</subfield></datafield></record></collection>
|
| score |
7.3996515 |