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Skin curves in geometric modeling and morphing

Kruithof, N. (2001) Skin curves in geometric modeling and morphing. Master's Thesis / Essay, Computing Science.

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Abstract

Skin curves form a class of smooth curves and surfaces introduced by Edelsbrunner in [Ede99b], mainly to model large molecules. Like the traditional spline models, skin curves are composed of piecewise polynomial (quadratic) patches. However, the control parameters are weighted points having a direct geometric interpretation that allows for convenient manipulation of skin curves in applications like molecular modeling. Another application of skin curves is in computer graphics, especially in (shape) morphing of smooth surfaces at the object level. Due to the direct geometric link between the control parameters and the shape of the curves, the morphing process is easily controlled, either by direct user intervention or by imposing geometric constraints (like minimizing the number of topological changes during the morphing process). Given the flexibility in manipulating skin curves, it would be convenient to have an algorithm that approximates an arbitrary curve by a skin curve.Then it would be possible to use the advantages of morphing skin curves for general shapes. As an easy case, I designed an algorithm that reconstructs the control points for a given skin curve. For approximation, we propose a method using the medial axis.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Computing Science
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:29
Last Modified: 15 Feb 2018 07:29
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/8854

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