Abstract

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.

Degree

MS

College and Department

Physical and Mathematical Sciences; Computer Science

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2007-04-17

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd1813

Keywords

computer graphics, parametric surfaces, CAGD, computer-aided geometric design, splines, simplification, geometric modeling, NURBS, subdivision surfaces

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