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authors Cohen, S., Elber, G. and Bar-Yehuda, R.
year 1997
title Matching of freeform curves
source Computer-Aided Design, Vol. 29 (5) (1997) pp. 369-378
summary Freeform parametric curves are extensively employed in various fields such as computer graphics, computer vision, robotics, and geometric modeling. While manyapplications exploit and combine univariate freeform entities into more complex forms such as sculptured surfaces, the problem of a fair or even optimal relativeparameterization of freeforms, under some norm, has been rarely considered. In this work, we present a scheme that closely approximates the optimal relativematching between two or even n given freeform curves, under a user's prescribed norm that is based on differential properties of the curves. This matching iscomputed as a reparameterization of n - 1 of the curves that can be applied explicitly using composition. The proposed matching algorithm is completely automaticand has been successfully employed in different applications with several demonstrated herein: metamorphosis of freeform curves with feature preservations, keyframe interpolation for animation, self-intersection free ruled surface construction, and automatic matching of rail curves of blending surfaces.
keywords Dynamic Programming, Tangent/Gauss Map, Feature Recognition, Fairness
series journal paper
references Content-type: text/plain
last changed 2003/05/15 19:33
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