Syzygies for translational surfaces
A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Wang, Haohao [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018transfer abstract |
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| Schlagwörter: |
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| Umfang: |
21 |
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| Übergeordnetes Werk: |
Enthalten in: Synergistic effect of NaTi - Lee, Song Yeul ELSEVIER, 2022, an international journal, Amsterdam |
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| Übergeordnetes Werk: |
volume:89 ; year:2018 ; pages:73-93 ; extent:21 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.jsc.2017.11.004 |
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| 520 | |a A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. | ||
| 520 | |a A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. | ||
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10.1016/j.jsc.2017.11.004 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000886.pica (DE-627)ELV043147860 (ELSEVIER)S0747-7171(17)30111-6 DE-627 ger DE-627 rakwb eng 670 530 660 VZ 33.68 bkl 35.18 bkl 52.78 bkl Wang, Haohao verfasserin aut Syzygies for translational surfaces 2018transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. Syzygy Elsevier μ-basis Elsevier Implicit equation Elsevier Translational surface Elsevier Goldman, Ron oth Enthalten in Elsevier Lee, Song Yeul ELSEVIER Synergistic effect of NaTi 2022 an international journal Amsterdam (DE-627)ELV008973822 volume:89 year:2018 pages:73-93 extent:21 https://doi.org/10.1016/j.jsc.2017.11.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 33.68 Oberflächen Dünne Schichten Grenzflächen Physik VZ 35.18 Kolloidchemie Grenzflächenchemie VZ 52.78 Oberflächentechnik Wärmebehandlung VZ AR 89 2018 73-93 21 |
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10.1016/j.jsc.2017.11.004 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000886.pica (DE-627)ELV043147860 (ELSEVIER)S0747-7171(17)30111-6 DE-627 ger DE-627 rakwb eng 670 530 660 VZ 33.68 bkl 35.18 bkl 52.78 bkl Wang, Haohao verfasserin aut Syzygies for translational surfaces 2018transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. Syzygy Elsevier μ-basis Elsevier Implicit equation Elsevier Translational surface Elsevier Goldman, Ron oth Enthalten in Elsevier Lee, Song Yeul ELSEVIER Synergistic effect of NaTi 2022 an international journal Amsterdam (DE-627)ELV008973822 volume:89 year:2018 pages:73-93 extent:21 https://doi.org/10.1016/j.jsc.2017.11.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 33.68 Oberflächen Dünne Schichten Grenzflächen Physik VZ 35.18 Kolloidchemie Grenzflächenchemie VZ 52.78 Oberflächentechnik Wärmebehandlung VZ AR 89 2018 73-93 21 |
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10.1016/j.jsc.2017.11.004 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000886.pica (DE-627)ELV043147860 (ELSEVIER)S0747-7171(17)30111-6 DE-627 ger DE-627 rakwb eng 670 530 660 VZ 33.68 bkl 35.18 bkl 52.78 bkl Wang, Haohao verfasserin aut Syzygies for translational surfaces 2018transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. Syzygy Elsevier μ-basis Elsevier Implicit equation Elsevier Translational surface Elsevier Goldman, Ron oth Enthalten in Elsevier Lee, Song Yeul ELSEVIER Synergistic effect of NaTi 2022 an international journal Amsterdam (DE-627)ELV008973822 volume:89 year:2018 pages:73-93 extent:21 https://doi.org/10.1016/j.jsc.2017.11.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 33.68 Oberflächen Dünne Schichten Grenzflächen Physik VZ 35.18 Kolloidchemie Grenzflächenchemie VZ 52.78 Oberflächentechnik Wärmebehandlung VZ AR 89 2018 73-93 21 |
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10.1016/j.jsc.2017.11.004 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000886.pica (DE-627)ELV043147860 (ELSEVIER)S0747-7171(17)30111-6 DE-627 ger DE-627 rakwb eng 670 530 660 VZ 33.68 bkl 35.18 bkl 52.78 bkl Wang, Haohao verfasserin aut Syzygies for translational surfaces 2018transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. Syzygy Elsevier μ-basis Elsevier Implicit equation Elsevier Translational surface Elsevier Goldman, Ron oth Enthalten in Elsevier Lee, Song Yeul ELSEVIER Synergistic effect of NaTi 2022 an international journal Amsterdam (DE-627)ELV008973822 volume:89 year:2018 pages:73-93 extent:21 https://doi.org/10.1016/j.jsc.2017.11.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 33.68 Oberflächen Dünne Schichten Grenzflächen Physik VZ 35.18 Kolloidchemie Grenzflächenchemie VZ 52.78 Oberflächentechnik Wärmebehandlung VZ AR 89 2018 73-93 21 |
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10.1016/j.jsc.2017.11.004 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000000886.pica (DE-627)ELV043147860 (ELSEVIER)S0747-7171(17)30111-6 DE-627 ger DE-627 rakwb eng 670 530 660 VZ 33.68 bkl 35.18 bkl 52.78 bkl Wang, Haohao verfasserin aut Syzygies for translational surfaces 2018transfer abstract 21 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. Syzygy Elsevier μ-basis Elsevier Implicit equation Elsevier Translational surface Elsevier Goldman, Ron oth Enthalten in Elsevier Lee, Song Yeul ELSEVIER Synergistic effect of NaTi 2022 an international journal Amsterdam (DE-627)ELV008973822 volume:89 year:2018 pages:73-93 extent:21 https://doi.org/10.1016/j.jsc.2017.11.004 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA 33.68 Oberflächen Dünne Schichten Grenzflächen Physik VZ 35.18 Kolloidchemie Grenzflächenchemie VZ 52.78 Oberflächentechnik Wärmebehandlung VZ AR 89 2018 73-93 21 |
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Syzygies for translational surfaces |
| abstract |
A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. |
| abstractGer |
A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. |
| abstract_unstemmed |
A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. |
| collection_details |
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| title_short |
Syzygies for translational surfaces |
| url |
https://doi.org/10.1016/j.jsc.2017.11.004 |
| remote_bool |
true |
| author2 |
Goldman, Ron |
| author2Str |
Goldman, Ron |
| ppnlink |
ELV008973822 |
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z |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| author2_role |
oth |
| doi_str |
10.1016/j.jsc.2017.11.004 |
| up_date |
2024-07-06T18:03:54.446Z |
| _version_ |
1803853794585346048 |
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|
| score |
7.402135 |