Computer Science and Information Engineering, World Congress on (2009)
Los Angeles, California USA
Mar. 31, 2009 to Apr. 2, 2009
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/CSIE.2009.668
The B-spline curve is one of the most famous curves in computer graphics, computational geometry and CAGD. Developing more convenient techniques for designing and modifying B-spline curves is an important problem, and is also an important research issue. In this study, the shape modification of B-spline curves by geometric constraints is presented. A new method based on changing the control points of the curves via constrained optimization is proposed. To satisfy the given constraints, the shape of the curves is optimally modified with adjusting control points of the original B-spline curves. Finally, numerical examples are also given.
Computer graphics, Shape modification, B-spline curve, Constrained optimization
Q. Wu and S. Tao, "Shape Modification of B-Spline Curves via Constrained Optimization for Multi-target Points," 2009 WRI World Congress on Computer Science and Information Engineering, CSIE(CSIE), Los Angeles, CA, 2009, pp. 733-737.