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Cone spline approximation via fat conic spline fitting

✍ Scribed by Xunnian Yang; Weiping Yang

Book ID
104006395
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
369 KB
Volume
38
Category
Article
ISSN
0010-4485

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✦ Synopsis

Fat conic section and fat conic spline are defined. With well established properties of fat conic splines, the problem of approximating a ruled surface by a tangent smooth cone spline can then be changed as the problem of fitting a plane fat curve by a fat conic spline. Moreover, the fitting error between the ruled surface and the cone spline can be estimated explicitly via fat conic spline fitting. An efficient fitting algorithm is also proposed for fat conic spline fitting with controllable tolerances. Several examples about approximation of general developable surfaces or other types of ruled surfaces by cone spline surfaces are presented.

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We present an efficient geometric algorithm for conic spline curve fitting and fairing through conic arc scaling. Given a set of planar points, we first construct a tangent continuous conic spline by interpolating the points with a quadratic Be Β΄zier spline curve or fitting the data with a smooth ar