Using Least Squares to Construct Improved Clough-Tocher Interpolant
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Date
2018-01-08
Authors
Fang, Xiang
Advisor
Mann, Stephen
Journal Title
Journal ISSN
Volume Title
Publisher
University of Waterloo
Abstract
In this thesis, a quartic Clough-Tocher interpolation scheme is introduced, and additional modifications, to adjust the macro-boundary and the order of continuity across domain triangles, are provided to improve both the mathematical and the visual quality of the resulting surface. Furthermore, a proof is given to show the convergence of the interpolation scheme under some specific constraints.
Description
Keywords
Triangular Bézier Patches, Clough-Tocher Interpolation, Least Squares