Title of article
Degree reduction of B-spline curves Original Research Article
Author/Authors
Jun-Hai Yong، نويسنده , , Shi-Min Hu، نويسنده , , Jia-Guang Sun، نويسنده , , Xing-Yu Tan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
11
From page
117
To page
127
Abstract
In this paper, we propose the generalized B divided difference, with which the (k−1)th derivative of B-spline curves of order k can be obtained directly without the need to compute the first (k−2) derivatives as before. Based on the generalized B divided difference, the necessary and sufficient condition for degree-reducible B-spline curves is presented. Algorithms for degree reduction of B-spline curves are proposed using the constrained optimization methods.
Keywords
B-spline curve , Degenerate condition , Degree reduction , Constrained optimization , Generalized B divided difference
Journal title
Computer Aided Geometric Design
Serial Year
2001
Journal title
Computer Aided Geometric Design
Record number
1139001
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