By Egil Bae, Joachim Weickert (auth.), Morten Dæhlen, Michael Floater, Tom Lyche, Jean-Louis Merrien, Knut Mørken, Larry L. Schumaker (eds.)
This quantity constitutes the completely refereed post-conference lawsuits of the seventh foreign convention on Mathematical tools for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008.
The 28 revised complete papers offered have been rigorously reviewed and chosen from 129 talks awarded on the convention. the subjects addressed by way of the papers variety from mathematical research of varied the right way to functional implementation on glossy images processing units.
Read or Download Mathematical Methods for Curves and Surfaces: 7th International Conference, MMCS 2008, Tønsberg, Norway, June 26-July 1, 2008, Revised Selected Papers PDF
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Extra resources for Mathematical Methods for Curves and Surfaces: 7th International Conference, MMCS 2008, Tønsberg, Norway, June 26-July 1, 2008, Revised Selected Papers
Example text
Comput. Aided Geom. Des. 6(3), 205–218 (1989) 3. : Efficient circular arc interpolation based on active tolerance control. ComputerAided Design 34(13), 1037–1046 (2002) 4. : The use of circular arcs for the interpolation of curves through empirical data points. Technical Report VTO/MS/164, British Aircraft Corporation (1976) 5. : Approximation of spirals by piecewise curves of fewest circular arc segments. Computer-Aided Design 16(2), 87–90 (1984) 6. : Optimal circular arc interpolation for NC tool path generation in curve contour manufacturing.
In: Geometric Modelling and Processing 1998, pp. 83–106. Bookplus Press, Soul (1998) 15. : Algorithms on cone spline surfaces and spatial osculating arc splines. Comput. Aided Geom. Design 18, 505–530 (2001) 16. : Rational approximation of rotation minimizing frames using Pythagorean-hodograph cubics. J. Geom. Graph. 3(2), 141–159 (1999) 17. : Geometric Hermite interpolation with Tschirnhausen cubics. J. Comput. Appl. Math. 81, 299–309 (1997) 18. : Principal Surfaces. R. ) The Mathematics of Surfaces VII, Information Geometers, Winchester, pp.
Consider the three bivariate polynomials f1 (x) = x41 + x31 x22 + 2x21x2 − 6x1 x2 + x42 − 8x22 − 12x2 f2 (x) = −x31 − x21 x2 + x1 x2 − x32 + x22 − 2x2 f3 (x) = −4x31 − 5x21 + 2x2 (14) with the domains (in global coordinates) Bk = [−10−k , 10−k ] × [−10−k, 10−k ], k ∈ R. (15) In the case of the first polynomial, Fig. 4 shows the result of the fat arc constructions for several values of k. The implicitly defined curve is the red one, the median arc denoted with green and the fat arcs are represented with black.