Download e-book for iPad: Curve and surface design by Hans Hagen

By Hans Hagen

ISBN-10: 0898712815

ISBN-13: 9780898712810

This number of principles and effects on themes of curve and floor layout is meant for examine within the educational setting in addition to for sensible use in business purposes. major emphasis is on minimum power splines and geometric spline curves, and on innovations past tensor product surfaces.

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Open natural minimal-energy spline segments. 0862 FIG. 2c. Open mixed minimal-energy splines. 8084 FlG. 3a. Closed clamped minimal-energy splines. 0809 FIG. 3b. Closed mixed minimal-energy splines. 8084. The five closed clamped minimal-energy splines are shown in Fig. 3a. r/3. 045457T has 0 curvatures at end points PQ and Pa. We also compute a family of four-point fixed-length closed mixed minimalenergy splines with the constraint sets #Tn,i(Po, PI, PI-, PS; 0:0;/i,/2? ^3)? 57r], /! 8084. The five closed mixed minimal-energy splines are shown in Fig.

TV-1. 4. , the angles at both end points PI and PI are prescribed. For this case, the constraint set: Let TV be a positive integer. 1, we have the following statements concerning the approximate problem. 32 Curve and Surface Design (a) There exists ho > 0, such that for all h E (0, /IQ], H£(PI, P

Math. Software, 12 (1986), pp. 219-222. [14] E. H. Lee and G. E. , 15 (1975), pp. 120-133. [15] A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, Dover, New York, 1944. [16] Michael A. Malcolm, On the computation of nonlinear spline functions, SIAM J. Numer. , 14 (1977), pp. 254-282. [17] Even Mehlum, Curve and Surface Fitting Based on Variational Criteria for Smoothness, Central Institute for Industrial Research, Oslo, Norway, 1969. [18] Guido Schulze, Elastische Wege und nichtlineare Splines im CAGD, Dissertation, Universitaet Kaiserslautern, 1990.

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Curve and surface design by Hans Hagen

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