Parametric approximation to surfaces

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Publication Type technical report
School or College College of Engineering
Department Computing, School of
Creator Mehrotra, Gautam
Title Parametric approximation to surfaces
Date 1992-12
Description The use of B-splines for the approximation of functions and data is well established. Issues such as parametrization, knot placement and reparametrizaton are important in determining the B-spline representation for the data. Compactness of the B-spline representation also becomes an issue when dealing with complex surfaces.; This thesis discusses these issues in detail and better algorithms for parametrization and reparametrization are presented. Constrained parametrization is used as a technique for approximating features on a surface. A hierarchical approach is used to contain the proliferation of control points every time a knot is added to the tensor-product B-spline representation. This helps keep the representation compact without compromising on the closeness of fit.
Type Text
Publisher University of Utah
Language eng
Format Medium application/pdf
Format Extent 1,357,712 bytes
File Name Mehrotra-Parametirc_Approxinmation.pdf
ARK ark:/87278/s6bk3dk6
Setname ir_computersa
Date Created 2016-11-18
Date Modified 2016-11-18
ID 108411
Reference URL https://collections.lib.utah.edu/ark:/87278/s6bk3dk6
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