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Original Articles

Roughness as a Shape Measure

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Pages 295-310 | Published online: 05 Aug 2013

References

  • Aspert, N.; Santa-Cruz, D.; Ebrahimi, T.: MESH:– Measuring Error between Surfaces using the Hausdorff distance, Proceedings of the IEEE ICME (2002), 2002, vol. I, 705–708.
  • Cingnoni, P.; Rocchini, C.; Scopigno, R.: Metro: Measuring Error on Simplified Surfaces, Computer Graphics Forum 17, 1998, 167–174.
  • Corsini, M.; Drelie Gelasca, E.; Ebrahimi, T.: A Multi-Scale Roughness Metric for 3D Watermarking Quality Assessment, Workshop on Image Analysis for Multimedia Interactive Services 2005.
  • Desbrun, M.; Meyer, M.; Schroder, P.; Barr, A. H.; Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow, Computer Graphics (Proceedings of SIGGRAPH 99), 317–324.
  • Goldfeather, J.; Interrante, V.: A novel Cubic-order Algorithm for Approximating Principal Direction Vectors, ACM Transactions on Graphics (TOG) 2004, 23(1), 45–63.
  • Hamann, B.: Curvature Approximation for Triangulated Surfaces, Computing Suppl., Vol. 8, 1993, 139–153.
  • Theisel, Holger; Rossl, Christian; Zayer, Rhaleb; Seidel, Hans-Peter: Normal Based Estimation of the Curvature Tensor for Triangular Meshes, 12th Pacific Conference on Computer Graphics and Applications (2004), 288–297.
  • Wu, Jian-Hua; Hu, Shi-Min; Sun, Jia-Guang; Tai, Chiew Lan:. An Effective Feature-Preserving Mesh Simplification Scheme Based on Face Constriction, Proceedings of the 9th Pacific Conference on Computer Graphics and Applications, 2001, 12–21.
  • Kobbelt, L.; Campagna, S.; Vorsatz, J.; Seidel, H.-P.: Interactive Multi-resolution Modeling on Arbitrary Meshes, ACM Computer Graphics (Proceedings of SIGGRAPH ’98), 105–114.
  • Meyer, M.; Desbrun, M.; Schröder, P.; Barr, Alan H.: Discrete Differential-Geometry Operators for Triangulated 2-Manifolds, Proceedings of VisMath (2002), 35–57.
  • Ohtake, Y.; Belyaev, A.G.; Bogaevski, I.A.: Polyhedral Surface Smoothing with Simultaneous Mesh Regularization, Geometric Modeling and Processing 2000, April 2000, 229–237.
  • Rippa, S.: Minimal Roughness Property of the Delaunay Triangulation, Computer Aided Geometric Design 7(6), November 1990, 489–497.
  • Razdan, A.; Bae, M.: Curvature Estimation Scheme for Triangle Meshes Using Biquadratic B´ezier Patches, Accepted for publication in CAD journal.
  • Roy, M.; Nicolier, F; Foufou, S.; Turchetet, F.; Koschan, A.; Abidi, M.: Assessment of Mesh Simplification Algorithm Quality, In Proceedings of SPIE Electronic Imaging, January 2002, 128–137.
  • Rusinkiewicz, Szymon: Estimation of Curvatures and their Derivatives on Triangle Meshes, 2nd International Symposium on 3D Data Processing (2004), 486–493.
  • Taubin, G.: A Signal Processing Approach to Fair Surface Design, Computer Graphics (Proceedings of SIGGRAPH’ 95), 351–358.
  • Taubin, G.: Curve and Surface Smoothing without Shrinkage, Proceedings of the Fifth International Conference on Computer Vision, 1995, 852–857.
  • Taubin, G.: Estimating the Tensor of Curvature of a Surface from a Polyhedra Approximation, ICCV (1995), 902–907.
  • Waechter, M.; Kantz H.; Peinke J.: Stochastic Analysis of Surface Roughness, Eoruphys. Lett., 64(5), 2003, 579–585.
  • Lee, Chang Ha; Varshney, Amitabh; Jacobs, David W.: Mesh saliency, ACM Transactions on Graphics, 24(3), 2005, 659–666.

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