T-Spline Simplification

This work focuses on generating approximations of complex T-spline surfaces with similar but less complex T-splines. Two approaches to simplifying T-splines are proposed: a bottom-up approach that iteratively refines an over-simple T-spline to approximate a complex one, and a top-down approach that...

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Main Author: Cardon, David L.
Format: Others
Published: BYU ScholarsArchive 2007
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/871
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1870&context=etd
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spelling ndltd-BGMYU2-oai-scholarsarchive.byu.edu-etd-18702021-09-12T05:00:59Z T-Spline Simplification Cardon, David L. This work focuses on generating approximations of complex T-spline surfaces with similar but less complex T-splines. Two approaches to simplifying T-splines are proposed: a bottom-up approach that iteratively refines an over-simple T-spline to approximate a complex one, and a top-down approach that evaluates existing control points for removal in producing an approximations. This thesis develops and compares the two simplification methods, determining the simplification tasks to which each is best suited. In addition, this thesis documents supporting developments made to T-spline research as simplification was developed. 2007-04-17T07:00:00Z text application/pdf https://scholarsarchive.byu.edu/etd/871 https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1870&context=etd http://lib.byu.edu/about/copyright/ Theses and Dissertations BYU ScholarsArchive computer graphics parametric surfaces CAGD computer-aided geometric design splines simplification geometric modeling NURBS subdivision surfaces Computer Sciences
collection NDLTD
format Others
sources NDLTD
topic computer graphics
parametric surfaces
CAGD
computer-aided geometric design
splines
simplification
geometric modeling
NURBS
subdivision surfaces
Computer Sciences
spellingShingle computer graphics
parametric surfaces
CAGD
computer-aided geometric design
splines
simplification
geometric modeling
NURBS
subdivision surfaces
Computer Sciences
Cardon, David L.
T-Spline Simplification
description This work focuses on generating approximations of complex T-spline surfaces with similar but less complex T-splines. Two approaches to simplifying T-splines are proposed: a bottom-up approach that iteratively refines an over-simple T-spline to approximate a complex one, and a top-down approach that evaluates existing control points for removal in producing an approximations. This thesis develops and compares the two simplification methods, determining the simplification tasks to which each is best suited. In addition, this thesis documents supporting developments made to T-spline research as simplification was developed.
author Cardon, David L.
author_facet Cardon, David L.
author_sort Cardon, David L.
title T-Spline Simplification
title_short T-Spline Simplification
title_full T-Spline Simplification
title_fullStr T-Spline Simplification
title_full_unstemmed T-Spline Simplification
title_sort t-spline simplification
publisher BYU ScholarsArchive
publishDate 2007
url https://scholarsarchive.byu.edu/etd/871
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1870&context=etd
work_keys_str_mv AT cardondavidl tsplinesimplification
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