The Deduction of Coefficient Matrix for Cubic Non-Uniform B-Spline Curves
Authors:
- Huixian YangHYHuixian Yang
- WenLong YueWYWenLong Yue
- Yabin HeYHYabin He
- Huixian HuangHHHuixian Huang
- Haixia XiaHXHaixia Xia
- 1 January 2009
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 18, 607-609
Abstract
The cubic B-Spline curves have many engineering applications, such as graphic matching, materials cutting and layout arrangement. The existing mathematical representations, usually defined as polynomial function, its coefficient matrix of non-uniform B-Spline curves are complicated, difficult to understand, and require sophisticated algorithm in programming implementation. This paper aims at presenting a procedure based on the de Boor-Cox recursion formula, the coefficient matrixes of non-uniform B-Spline curves could be deducted. The application of this approach has been successfully used in shoe manufacturing process for material cutting control system.Keywords
This publication has 8 references indexed in Scilit:
- Mate/spl acute/rn B-splines and the optimal reconstruction of signalsIEEE Signal Processing Letters, 2006
- Surface Modeling of Complicated Geometries with Incomplete Erroneous Data Points-An Extension to B-Spline Approach2018 40th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC), 2005
- Interpolation with nonuniform B-splines2004
- Fractal image coding for images using b-splines2004
- G2 Continuity Algorithms between Adjacent NURBS Patches along Common Cubic Boundary CurveChinese Journal of Aeronautics, 2003
- General matrix representations for B-splinesThe Visual Computer, 2000
- The Numerical Evaluation of B-SplinesIMA Journal of Applied Mathematics, 1972
- On calculating with B-splinesJournal of Approximation Theory, 1972