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» Generalized implicit functions for computer graphics
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SIBGRAPI
2009
IEEE
13 years 11 months ago
Hermite Interpolation of Implicit Surfaces with Radial Basis Functions
—We present the Hermite radial basis function (HRBF) implicits method to compute a global implicit function which interpolates scattered multivariate Hermite data (unstructured p...
Ives Macedo, Joao Paulo Gois, Luiz Velho
AFRIGRAPH
2004
ACM
13 years 10 months ago
Interactive modelling from sketches using spherical implicit functions
We present an interactive modelling technique, which reconstructs three-dimensional objects from user-drawn twodimensional strokes. We first extract a skeleton from the 2D contour...
Ileana Anca Alexe, Véronique Gaildrat, Lo&i...
SIGGRAPH
1999
ACM
13 years 9 months ago
Shape Transformation Using Variational Implicit Functions
Traditionally, shape transformation using implicit functions is performed in two distinct steps: 1) creating two implicit functions, and 2) interpolating between these two functio...
Greg Turk, James F. O'Brien
SIGGRAPH
1997
ACM
13 years 9 months ago
Guaranteeing the topology of an implicit surface polygonization for interactive modeling
Morse theory shows how the topology of an implicit surface is affected by its function’s critical points, whereas catastrophe theory shows how these critical points behave as th...
Barton T. Stander, John C. Hart