TY - JOUR
ID - 631439
TI - Degree Reduction of Disk Wang-Bézier Type Generalized Ball Curves
JO - Journal of Advances in Computer Research
JA - JACR
LA - en
SN - 2345-606X
Y1 - 2012
PY - 2012
VL - 3
IS - 1
SP - 33
EP - 50
KW - Wang-Bézier Type Generalized Ball Curve
KW - Degree Reduction
KW - Optimal
KW - Approximation
KW - Degree Elevation
DO -
N2 - A disk Wang-Bézier type generalized Ball curve is a Wang-Bézier type generalized Ball curve whose control points are disks in a plane. It can be viewed as a parametric curve with error tolerances. In this paper, we discuss the problem of degree reduction of disk Wang-Bézier type generalized Ball curve, that is, bounding disk Wang-Bézier type generalized Ball curves with lower degree disk Wang-Bézier type generalized Ball curves. We propose an algorithm to solve this problem. The algorithm starts by finding an optimal approximation to the center curve of the original disk Wang-Bézier type generalized Ball curve, which is served as the center curve of the degree reduced disk Wang-Bézier type generalized Ball curve. Then the radius of the degree reduced disk Wang-Bézier type generalized Ball curve is computed by solving some linear programming problems, and for which analytic solutions are obtained.
UR - http://jacr.iausari.ac.ir/article_631439.html
L1 - http://jacr.iausari.ac.ir/article_631439_076bb55c3015b29ab21b08cca1174781.pdf
ER -