Closed G1-continuous cubic Bézier surfaces:
Abstract: "This report first presents an analysis of the sufficient and necessary polynomial degree for several scattered data interpolation problems. The attention is then focussed on the construction of a piecewise triangular cubic Bézier surface that interpolates given triangle vertices with...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
1992
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| Series: | Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS
92,26 |
| Subjects: | |
| Summary: | Abstract: "This report first presents an analysis of the sufficient and necessary polynomial degree for several scattered data interpolation problems. The attention is then focussed on the construction of a piecewise triangular cubic Bézier surface that interpolates given triangle vertices with prescribed normal vectors, and is G¹-continuous everywhere. In order to get enough degrees of freedom to define the Bézier control points, a triangle three-split, a two-split and a six-split scheme are developed. The split into six subtriangles results in a surface that is G¹-continuous as well as visually pleasing." |
| Physical Description: | 20 S. |
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| 520 | 3 | |a Abstract: "This report first presents an analysis of the sufficient and necessary polynomial degree for several scattered data interpolation problems. The attention is then focussed on the construction of a piecewise triangular cubic Bézier surface that interpolates given triangle vertices with prescribed normal vectors, and is G¹-continuous everywhere. In order to get enough degrees of freedom to define the Bézier control points, a triangle three-split, a two-split and a six-split scheme are developed. The split into six subtriangles results in a surface that is G¹-continuous as well as visually pleasing." | |
| 650 | 4 | |a Computational geometry | |
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Record in the Search Index
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| author | Veltkamp, Remco C. |
| author_facet | Veltkamp, Remco C. |
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| id | DE-604.BV009008748 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:28:28Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005955235 |
| oclc_num | 27670688 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | 20 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS |
| spelling | Veltkamp, Remco C. Verfasser aut Closed G1-continuous cubic Bézier surfaces R. C. Veltkamp Amsterdam 1992 20 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS 92,26 Abstract: "This report first presents an analysis of the sufficient and necessary polynomial degree for several scattered data interpolation problems. The attention is then focussed on the construction of a piecewise triangular cubic Bézier surface that interpolates given triangle vertices with prescribed normal vectors, and is G¹-continuous everywhere. In order to get enough degrees of freedom to define the Bézier control points, a triangle three-split, a two-split and a six-split scheme are developed. The split into six subtriangles results in a surface that is G¹-continuous as well as visually pleasing." Computational geometry Department of Computer Science: Report CS Centrum voor Wiskunde en Informatica <Amsterdam> 92,26 (DE-604)BV008928356 92,26 |
| spellingShingle | Veltkamp, Remco C. Closed G1-continuous cubic Bézier surfaces Computational geometry |
| title | Closed G1-continuous cubic Bézier surfaces |
| title_auth | Closed G1-continuous cubic Bézier surfaces |
| title_exact_search | Closed G1-continuous cubic Bézier surfaces |
| title_full | Closed G1-continuous cubic Bézier surfaces R. C. Veltkamp |
| title_fullStr | Closed G1-continuous cubic Bézier surfaces R. C. Veltkamp |
| title_full_unstemmed | Closed G1-continuous cubic Bézier surfaces R. C. Veltkamp |
| title_short | Closed G1-continuous cubic Bézier surfaces |
| title_sort | closed g1 continuous cubic bezier surfaces |
| topic | Computational geometry |
| topic_facet | Computational geometry |
| volume_link | (DE-604)BV008928356 |
| work_keys_str_mv | AT veltkampremcoc closedg1continuouscubicbeziersurfaces |