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Interpolating points with given normals by means of a non-uniform B-Spline surface scheme

Gelder, K. van (1997) Interpolating points with given normals by means of a non-uniform B-Spline surface scheme. Master's Thesis / Essay, Computing Science.

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Abstract

This Master's thesis is about constructing curves or surfaces by interpolating points with a given normal. For this, a scheme using piecewise polynomials built up from B-Splines is used. This scheme was "invented" by Hans-Peter Seidel. Via B-Patches, Seidel's scheme is derived from the Bézier scheme. As for Bézier patches, normally some points are given by the user, which the splines approximate as well as possible. In this thesis the scheme will form a surface that interpolates these user-defined points, where the normal of the surface in these user-defined points is given as well. For Bézier patches the solution is known, for Seidel's scheme a new algorithm, using piecewise polynomials of degree two, is given.

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/8705

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