Mathematical Methods for Curves and Surfaces

1. Front Matter

   Pages I-VIII

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2. Computational Assessment of Curvatures and Principal Directions of Implicit Surfaces from 3D Scalar Data

   • Eric Albin, Ronnie Knikker, Shihe Xin, Christian Oliver Paschereit, Yves D’Angelo

   Pages 1-22

3. Coefficient–Based Spline Data Reduction by Hierarchical Spaces

   • Cesare Bracco, Carlotta Giannelli, Alessandra Sestini

   Pages 23-41

4. A Versatile Strategy for the Implementation of Adaptive Splines

   • Andrea Bressan, Dominik Mokriš

   Pages 42-73

5. Machinability of Surfaces via Motion Analysis

   • Robert J. Cripps, Ben Cross, Glen Mullineux, Mat Hunt

   Pages 74-95

6. Simplicial Complex Entropy

   • Stefan Dantchev, Ioannis Ivrissimtzis

   Pages 96-107

7. Precise Construction of Micro-structures and Porous Geometry via Functional Composition

   • Gershon Elber

   Pages 108-125

8. Partially Nested Hierarchical Refinement of Bivariate Tensor-Product Splines with Highest Order Smoothness

   • Nora Engleitner, Bert Jüttler, Urška Zore

   Pages 126-144

9. Regression Analysis Using a Blending Type Spline Construction

   • Tatiana Kravetc, Børre Bang, Rune Dalmo

   Pages 145-161

10. On the Coupling of Decimation Operator with Subdivision Schemes for Multi-scale Analysis

    • Zhiqing Kui, Jean Baccou, Jacques Liandrat

    Pages 162-185

11. Translation Surfaces and Isotropic Transport Nets on Rational Minimal Surfaces

    • Jan Vršek, Miroslav Lávička

    Pages 186-201

12. Towards Subdivision Surfaces C2 Everywhere

    • Malcolm Sabin

    Pages 202-217

13. Adaptivity with B-spline Elements

    • Malcolm Sabin

    Pages 218-232

14. Reconstructing Sparse Exponential Polynomials from Samples: Difference Operators, Stirling Numbers and Hermite Interpolation

    • Tomas Sauer

    Pages 233-250

15. Reparameterization and Adaptive Quadrature for the Isogeometric Discontinuous Galerkin Method

    • Agnes Seiler, Bert Jüttler

    Pages 251-269

16. Deconfliction and Surface Generation from Bathymetry Data Using LR B-splines

    • Vibeke Skytt, Quillon Harpham, Tor Dokken, Heidi E. I. Dahl

    Pages 270-295

17. Application of Longest Common Subsequence Algorithms to Meshing of Planar Domains with Quadrilaterals

    • Petra Surynková, Pavel Surynek

    Pages 296-311

18. Order-Randomized Laplacian Mesh Smoothing

    • Ying Yang, Holly Rushmeier, Ioannis Ivrissimtzis

    Pages 312-323

19. Back Matter

    Pages 325-325

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This volume constitutes the thoroughly refereed post-conference proceedings of the 9th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2016, held in Tønsberg, Norway, in June 2016. The 17 revised full papers presented were carefully reviewed and selected from 115 submissions. The topics range from mathematical theory to industrial applications.

• attractor
• computational fluid dynamics
• geometric algebra
• multivariate interpolation
• wavelet transportation
• algebraic and differential geometry
• computational geometry
• computational tolology
• computer aided design and manufacturing
• curve and surface design
• finite elements and NURBS
• interplolation and smooting
• mesh generation
• reverse engineering
• scattered data modeling
• splines and algorithms in approximation theory
• wavelets

• University of Oslo, Oslo, Norway

  Michael Floater, Tom Lyche, Knut Mørken

• Université Joseph Fourier, Grenoble, France

  Marie-Laurence Mazure

• Vanderbilt University, Nashville, USA

  Larry L. Schumaker

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