Title

Computer-Aided Design Applications of the Rational B-Spline Approximation Form

Date of Award

1975

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Electrical Engineering and Computer Science

Advisor(s)

Steven A. Coons

Keywords

Computer graphics, Interactive shape design

Subject Categories

Computer-Aided Engineering and Design

Abstract

During the past decade, large design and production industries have been exploring efficient Computer-Aided Design (CAD) methods for the controlled generation of free-form curve and surface shapes. Their goal is to obtain a mathematical model of a particular object to be used in its manufacturing process. This dissertation addresses itself to one such mathematical scheme for interactive shape design on a computer graphics display. The approach differs from the traditional in that a mathematical model is produced during definition of the design object. This "ab initio" design situation avoids the inaccurate and costly procedure of first producing a physical model and then attempting to fit a mathematical model to it.

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