Nonsplitting Macro Patches for Implicit Cubic Spline Surfaces
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Date
1993
Authors
Journal Title
Journal ISSN
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Publisher
Blackwell Science Ltd and the Eurographics Association
Abstract
Macro patches are important for generating quadric or cubic implicit spline surfaces from the input of a polyhedron. All existing macro patches split the triangular facets of the polyhedron- this paper presents cubic nonsplitting macro patches (NMP) that do not split these facets. The NMP s are based on a necessary and sufficient condition for nonsplitting constructions of implicit cubic spline surfaces. This condition can be satisfied for most practical applications, so the NMP s lead to an efficient and powerful spline surface scheme using implicit cubics. The free parameters in an NMP are set using a new technique for excluding topological anomalies such as extraneous sheets, splits, unwanted holes, self-intersections, and unwanted handles. Each cubic patch obtained by this technique best approximates, in a least-squares sense, a quadric patch from a single algebraic component of a monotone polynomial derived from the input data.
Description
@article{10.1111:1467-8659.1230433,
journal = {Computer Graphics Forum},
title = {{Nonsplitting Macro Patches for Implicit Cubic Spline Surfaces}},
author = {Guo, B.},
year = {1993},
publisher = {Blackwell Science Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.1230433}
}