Paper
1 February 1992 Modeling with multivariate B-spline surfaces over arbitrary triangulations
Phillip Fong, Hans-Peter Seidel
Author Affiliations +
Abstract
This paper describes the first results of a test implementation of the new multivariate B-splines as recently developed for quadratics and cubics. The surface scheme is based on blending functions and control points and allows us to model Ck-1-continuous piecewise polynomial surfaces of degree k over arbitrary triangulations of the parameter plane. The surface scheme exhibits both affine invariance and the convex hull property, and the control points can be used to manipulate the shape of the surface locally. Additional degrees of freedom in the underlying knot net allow for the modeling of discontinuities. Explicit formulas are given for the representation of polynomials and piecewise polynomials as linear combinations of B-splines.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Phillip Fong and Hans-Peter Seidel "Modeling with multivariate B-spline surfaces over arbitrary triangulations", Proc. SPIE 1610, Curves and Surfaces in Computer Vision and Graphics II, (1 February 1992); https://doi.org/10.1117/12.135138
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CITATIONS
Cited by 3 scholarly publications.
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KEYWORDS
Computer vision technology

Machine vision

Computer graphics

Visualization

Algorithm development

Image segmentation

Visual process modeling

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