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
Gespeichert in:
| Autor*in: |
Zhu, Yuanpeng [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013transfer abstract |
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| Systematik: |
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| Umfang: |
9 |
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| Übergeordnetes Werk: |
Enthalten in: Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation - Moreira, Zeus S. ELSEVIER, 2021, New York, NY |
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| Übergeordnetes Werk: |
volume:220 ; year:2013 ; day:1 ; month:09 ; pages:446-454 ; extent:9 |
| Links: |
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| DOI / URN: |
10.1016/j.amc.2013.06.043 |
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ELV021642559 |
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| 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 | |
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| 650 | 7 | |a Bernstein–Bézier basis |2 Elsevier | |
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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 |
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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 |
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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 |
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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 |
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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 |
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a class of αβγ-bernstein–bézier basis functions over triangular domain |
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A class of αβγ-Bernstein–Bézier basis functions over triangular domain |
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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. |
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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. |
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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. |
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A class of αβγ-Bernstein–Bézier basis functions over triangular domain |
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