CAGD
2007
13 years 4 months ago
2007
CAGD
2007
13 years 4 months ago
2007
In this paper we prove that the degree elevation of B-spline curves can be interpreted as corner cutting process in theory. We also discover the geometric meaning of the auxiliary...
CAGD
2007
13 years 4 months ago
2007
A scheme to specify planar C2 Pythagorean-hodograph (PH) quintic spline curves by control polygons is proposed, in which the “ordinary” C2 cubic B-spline curve serves as a ref...
CAGD
2007
13 years 4 months ago
2007
Barycentric coordinates are a fundamental concept in computer graphics and geometric modeling. We extend the geometric construction of Floater’s mean value coordinates [8,11] to...
CAGD
2007
13 years 4 months ago
2007
All normalized totally positive bases satisfy the progressive iterative approximation property. The normalized B-basis has optimal shape preserving properties and we prove that it...