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ADCM
2007
119views more  ADCM 2007»
14 years 9 months ago
Causality properties of refinable functions and sequences
We show that the scale-space operators defined by a class of refinable kernels satisfy a version of the causality property, and a sequence of such operators converges to the cor...
Say Song Goh, Tim N. T. Goodman, S. L. Lee
ADCM
2006
101views more  ADCM 2006»
14 years 9 months ago
A general construction of barycentric coordinates over convex polygons
Barycentric coordinates are unique for triangles, but there are many possible generalizations to convex polygons. In this paper we derive sharp upper and lower bounds on all baryc...
Michael S. Floater, Kai Hormann, Géza K&oac...
ADCM
2006
57views more  ADCM 2006»
14 years 9 months ago
Duality and Riemannian cubics
Riemannian cubics are curves used for interpolation in Riemannian manifolds. Applications in trajectory planning for rigid bodiy motion emphasise the group SO(3) of rotations of E...
Lyle Noakes
79
Voted
ADCM
2006
110views more  ADCM 2006»
14 years 9 months ago
Interpolation on lattices generated by cubic pencils
: Principal lattices are distributions of points in the plane obtained from a triangle by drawing equidistant parallel lines to the sides and taking the intersection points as node...
Jesús M. Carnicer, Mariano Gasca
ADCM
2006
133views more  ADCM 2006»
14 years 9 months ago
Convex combination maps over triangulations, tilings, and tetrahedral meshes
: In a recent paper by the first author, a simple proof was given of a result by Tutte on the validity of barycentric mappings, recast in terms of the injectivity of piecewise line...
Michael S. Floater, Valérie Pham-Trong