Parameterization for fitting triangular mesh

References

• Eck , M. , DcRose , T. Duchamp , T. Multiresolution analysis of arbitrary meshes . SIGGRAPH 95 Conference Proceedings . Los Angeles, California. pp. 173 – 182 .
   Google Scholar
• Pinkall , U. and Polthier , K. 1993 . Computing discrete minimal surfaces and their conjugates . Exp. Math. , 2 : 15 – 36 .
   Google Scholar
• Hormann , K. and Greiner , G. Quadrilateral remeshing . Proceedings of Vision, Modeling, and Visualization . Stuttgart, Germany. pp. 153 – 162 .
   Google Scholar
• Floater , M. S. 2003 . Mean value coordinates . Computer Aided Geometric Design , 20 : 19 – 27 .
   Web of Science ®Google Scholar
• Eckert , E. R. and Drake , R. M. 1972, 55–60 . “ Analysis of Heat and Mass Transfer ” . New York : McGraw-Hill Book Company .
   Google Scholar
• Bennis , C. , Vézien , J. M. and Iglésias , G. Piecewise surface flattening for non-distorted texture mapping . SIGGRAPH 91 Conference Proceedings . Las Vegas. pp. 237 – 246 .
   Google Scholar
• Floater , M. S. 1997 . Parameterization and smooth approximation of surface triangulations. Computer Aided Geometric Design . 14 : 231 – 250 .
   Google Scholar
• Floater , M. S. 1998 . Parametric tilings and scattered data approximation. International Journal of Shape Modeling . 4 : 165 – 182 .
   Google Scholar
• Floater , M. S. and Hormann , K. 2002 . Parameterization of triangulations and unorganized points . Tutorials on Multiresolution in Geometric Modelling. Heidelberg: Springer-Verlag , : 287 – 316 .
   Google Scholar
• Lévy , B. and Maller , J. L. Non-distorted texture mapping for sheared triangulated meshes . SIGGRAPH 98 Conference Proceedings . Orlando, Florida. pp. 343 – 352 .
   Google Scholar
• Hormann , K. and Greiner , G. 1999 . “ MIPS: an efficient global parameterization method ” . In Curve and Surface Design , 153 – 162 . Nashville : Vander-bilt University .
   Google Scholar
• Hormann , K. , Labsik , U. and Greiner , G. 2001 . Remeshing triangulated surfaces with optimal parameterizations . Computer-Aided Design , 33 : 779 – 788 .
   Google Scholar
• Haker , S. , Angenetn , S. Tannenbaum , A. 2000 . Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics . 6 ( 2 ) : 181 – 189 .
   Google Scholar
• Zigelman , G. , Kimmel , R. and Kiryati , N. 2002 . Texture mapping using surface flattening via multidimensional scaling . IEEE Transactions on Visualization and Computer Graphics , 8 ( 2 ) : 198 – 207 .
   Web of Science ®Google Scholar
• Gu , X. , Steven , J. G. and Hoppe , H. Geometry Images . SIGGRAPH 2002 Conference Proceedings . New York. pp. 355 – 361 .
   Google Scholar
• Mikhlin , S. G. 1964 . “ Variational Methods in Mathematical Physics ” . 102 – 107 . New York : Macmillan Company .
   Google Scholar
• Barhak , J. and Fischer , A. 2001 . Parameterization and reconstruction from 3D scattered points based on neural network and PDE techniques . IEEE Transactions on Visualization and Computer Graphics , 7 ( 1 ) : 1 – 16 .
   Google Scholar
• Farouki , R. T. 1985 . Exact offset procedures for simple solids . Computer Aided Geometric Design , 2 ( 3 ) : 257 – 279 .
   Google Scholar
• Farouki , R. T. 1989 . The approximation of non-degenerate offset surfaces . Computer Aided Geometric Design , 3 ( 1 ) : 15 – 43 .
   Google Scholar
• Dyn , N. , Hormann , K. Kim , S. J. 2001 . “ Optimizing 3D triangulations using discrete curvature analysis ” . In Mathematical Methods for Curves and Surface , 135 – 146 . Nashville : Vanderbilt University Press .
   Google Scholar
• Kim , S. J. , Kim , C. H. and Levin , D. 2002 . Surface simplification using a discrete curvature norm . Computers & Graphics , 26 : 657 – 663 .
   Web of Science ®Google Scholar
• Bajaj , C. , Coyle , E. and Lin , K. 1999 . Tetrahedral meshes from planar cross-sections . Computer Methods in Applied Mechanics and Engineering , 179 ( 1–2 ) : 31 – 52 .
   Web of Science ®Google Scholar
• Zienkiewicz , O. C. 1977 . The Finite Element Method , 3rd ed. , 76 – 80 . New York : McGraw-Hill Book Company .
   Google Scholar