for surface triangulations for the purpose of smooth surface fitting. The parametrizations, which are planar triangulations, are the solutions of linear systems based on convex combinations. A particular parametrization, called shape-preserving, is found to lead to visually smooth surface approximations.
The objective of the algorithm is to form a model of a surface. Data describing the surface includes the three-dimensional coordinates of points measured,.
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This paper refers to an algorithm developed by Lewis and Robinson 1 . It highlights areas of the algorithm which need further study.
A method based on graph theory is investigated for creating global parametrizations for surface triangulations for the purpose of smooth surface fitting.
May 27, 2014 · For C0 continuity and quadratic completeness there should be 6 basis functions per triangle, one at each vertex and one at each midpoint. The ...
center of a star so as to minimize the norm of choice of the residuals in the interior of the star while keeping the elevations at all other vertices fixed.
Mar 9, 2010 · The triangulations of the simplices pulls-back to a polyhedral decomposition of the manifold, which you can subdivide to be a triangulation. If ...
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Nov 1, 2024 · In this post I consider triangulation and interpolation when the data are sampled on the surface of a sphere.
This paper discusses the use of DMS spline surfaces for approximation of scattered data. A method is provided for automatically triangulating the domain.
Given a planar triangulation, the goal is to select elevations at its vertices so that resulting piecewise-linear triangulated surface approximates specified ...