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CAGD
2005
112views more  CAGD 2005»
13 years 4 months ago
A second order algorithm for orthogonal projection onto curves and surfaces
In this paper we analyze an algorithm which solves the point projection and the "inversion" problems for parametric curves and surfaces. It consists of a geometric secon...
Shi-Min Hu, Johannes Wallner
CAGD
2005
89views more  CAGD 2005»
13 years 4 months ago
Mean value coordinates in 3D
Abstract: Barycentric coordinates can be used both to express a point inside a tetrahedron as a convex combination of the four vertices and to linearly interpolate data given at th...
Michael S. Floater, Géza Kós, Martin...
CAGD
2005
147views more  CAGD 2005»
13 years 4 months ago
Corner cutting systems
If we can evaluate a curve by means of a corner cutting algorithm, we call the corresponding system of functions a corner cutting system. We prove that corner cutting systems are ...
Jorge Delgado, Juan Manuel Peña
CAGD
2005
108views more  CAGD 2005»
13 years 4 months ago
Designing composite triangular subdivision schemes
The paper iterates on the observation made independently by several groups of authors that building subdivision schemes out of simple, very local and geometrically invariant avera...
Peter Oswald
CAGD
2005
75views more  CAGD 2005»
13 years 4 months ago
s-power series: an alternative to Poisson expansions for representing analytic functions
Morin and Goldman [Computer Aided Geometric Design 17 (2000) 813] have recently presented a remarkable new framework, based on employing Poisson series, for describing analytic fu...
Javier Sánchez-Reyes, Jesús Miguel C...