| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4630121 | Applied Mathematics and Computation | 2012 | 4 Pages |
Abstract
In the paper [A. Rababah, S. Mann, Iterative process for G2-multi degree reduction of Bézier curves, Applied Mathematics and Computation 217 (2011) 8126-8133], Rababah and Mann proposed an iterative method for multi-degree reduction of Bézier curves with C1 and G2-continuity at the endpoints. In this paper, we provide a theoretical proof for the existence of the unique solution in the first step of the iterative process, while the proof in their paper applies only in some special cases. Also, we give a complete convergence proof for the iterative method. We solve the problem by using convex quadratic optimization.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Lizheng Lu,