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Multi-degree reduction of triangular Bézier surfaces with boundary constraints
- Source :
-
Computer-Aided Design . Dec2006, Vol. 38 Issue 12, p1215-1223. 9p. - Publication Year :
- 2006
-
Abstract
- Abstract: Given a triangular Bézier surface of degree , the problem of multi-degree reduction by a triangular Bézier surface of degree with boundary constraints is investigated. This paper considers the continuity of triangular Bézier surfaces at the three corners, so that the boundary curves preserve endpoints continuity of any order . The - and -norm combined with the constrained least-squares method are used to get the matrix representations for the control points of the degree reduced surfaces. Both methods can be applied to piecewise continuous triangular patches or to only a triangular patch with the combination of surface subdivision. And the resulting piecewise approximating patches are globally continuous. Finally, error estimation is given and numerical examples demonstrate the effectiveness of our methods. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00104485
- Volume :
- 38
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Computer-Aided Design
- Publication Type :
- Academic Journal
- Accession number :
- 22965150
- Full Text :
- https://doi.org/10.1016/j.cad.2006.07.004