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CAGD
2007
59views more  CAGD 2007»
13 years 11 months ago
B-spline control nets for developable surfaces
L. Fernández-Jambrina
CAGD
2007
76views more  CAGD 2007»
13 years 11 months ago
On the degree elevation of B-spline curves and corner cutting
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...
Guozhao Wang, Chongyang Deng
CAGD
2007
156views more  CAGD 2007»
13 years 11 months ago
A control polygon scheme for design of planar C2 PH quintic spline curves
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...
Francesca Pelosi, Maria Lucia Sampoli, Rida T. Far...
CAGD
2007
86views more  CAGD 2007»
13 years 11 months ago
A general geometric construction of coordinates in a convex simplicial polytope
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...
Tao Ju, Peter Liepa, Joe D. Warren
CAGD
2007
65views more  CAGD 2007»
13 years 11 months ago
Progressive iterative approximation and bases with the fastest convergence rates
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...
Jorge Delgado, Juan Manuel Peña