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Download Mathematical Methods for Curves and Surfaces: 7th by Egil Bae, Joachim Weickert (auth.), Morten Dæhlen, Michael PDF

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 overseas 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 conscientiously reviewed and chosen from 129 talks awarded on the convention. the themes addressed via the papers diversity from mathematical research of assorted the right way to sensible implementation on sleek pics processing units.

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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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Additional resources for Mathematical Methods for Curves and Surfaces: 7th International Conference, MMCS 2008, Tønsberg, Norway, June 26-July 1, 2008, Revised Selected Papers

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Comput. Aided Geom. Des. 17(6), 485–501 (2000) 18. : Computing roots of polynomials by quadratic clipping. Comp. Aided Geom. Design 24, 125–141 (2007) 19. : Principles of CAD/CAM/CAE Systems. Addison-Wesley, Reading (1999) 20. : Surface/surface intersection problem. In: Gregory, J. ) The Mathematics of Surfaces II, pp. 117–142. Claredon Press, Oxford (1986) 21. : Shape interrogation for computer aided design and manufacturing. Springer, Heidelberg (2002) 22. : Subdivision methods for solving polynomial equations.

4 shows the rotation-minimizing frame of (21). In order to analyze the error, we consider the length of the differences δ (u) = rapprox (u) − r(u∗(u)) (23) of rotation-minimizing vector fields of the approximating curve and of the approximating curve, where each point of the approximating curve is compared with the nearest 24 M. Bartoˇn, B. Jüttler, and W. 2 0 Fig. 4. Example 6: Sweep surface generated by the non-rational RMF of a space PH cubic (left). Average and end-point error for different numbers of segments (right).

GenerateFatArcs( f , B, ε ) 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: 13: 14: if min di j > 0 or max di j < 0 then return 0/ end if if f satisfies the assumptions of Lemma 2 then A ← FatArcSegment( f , B, ε ) if A = 0/ then return A end if end if if diameter of B > ε then subdivide the box into 4 subboxes B1 , . . , B4 return 4i=1 GenerateFatArcs( f , Bi , ε ) end if return B {the box is empty} {single fat arc generation} {... has been successful} {quadsection} {recursive call} {current box is small enough} Note that the algorithm may return boxes which do not contain any segments of the implicitly defined curve (“false positive boxes”).

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