| Summary: | 碩士 === 元智大學 === 機械工程研究所 === 82 === The aim of this paper is to develop an intersection curve
solver for Rational B-spline surfaces. Presently,finding exact
solutions of intersection curves wererestricted to limited
cases,for example,planes and quadratic surfaces.
Exactintersection curves are impossible for free form sur-
faces,especially,Rational B-spline surfaces. Therefor,when the
approach of approximate solutions is adopted,the effi- ciency,
accuracy control, and stability are critical for the
implementation of the selected numerical process. Marching
method is used in the paper. Various marching algorithms will
be valuated and adequate marching method of locating
intersection curves will be established for Rational B-spline
surfaces. A min-max box and subdivision method will be used to
finding the starting point. The accuracy of inter- section
curves will be improved by a refinement procedure. The resulted
intersection curves are in the forms of Rational B-spline cures
for later processing.
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