CAGD
2007
15 years 12 days ago
2007
89
Voted
CAGD
2007
15 years 12 days 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...
110
click to vote
CAGD
2007
15 years 12 days 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
15 years 12 days 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...
74
Voted
CAGD
2007
15 years 12 days 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...