Applications of spline manifolds to problems in modeling, rendering, and analysis

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Publication Type dissertation
School or College School of Computing
Department Computing (School of)
Author Martin, William Michael
Title Applications of spline manifolds to problems in modeling, rendering, and analysis
Date 2013-05
Description While boundary representations, such as nonuniform rational B-spline (NURBS) surfaces, have traditionally well served the needs of the modeling community, they have not seen widespread adoption among the wider engineering discipline. There is a common perception that NURBS are slow to evaluate and complex to implement. Whereas computer-aided design commonly deals with surfaces, the engineering community must deal with materials that have thickness. Traditional visualization techniques have avoided NURBS, and there has been little cross-talk between the rich spline approximation community and the larger engineering field. Recently there has been a strong desire to marry the modeling and analysis phases of the iterative design cycle, be it in car design, turbulent flow simulation around an airfoil, or lighting design. Research has demonstrated that employing a single representation throughout the cycle has key advantages. Furthermore, novel manufacturing techniques employing heterogeneous materials require the introduction of volumetric modeling representations. There is little question that fields such as scientific visualization and mechanical engineering could benefit from the powerful approximation properties of splines. In this dissertation, we remove several hurdles to the application of NURBS to problems in engineering and demonstrate how their unique properties can be leveraged to solve problems of interest.
Type Text
Publisher University of Utah
Subject computer-aided design; heterogeneous design; high-dimensional splines; radiance; spline approximation; volumetric splines
Dissertation Name Doctor of Philosophy
Language eng
Rights Management Copyright © William Michael Martin 2013
Format Medium application/pdf
Format Extent 3,522,292 bytes
ARK ark:/87278/s6pn9mhv
Setname ir_etd
Date Created 2013-05-22
Date Modified 2017-11-02
ID 195915
Reference URL
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