MetaCart Sign in to MyCiteSeerX

Include Citations | Advanced Search | Help

Disambiguated Search | Include Citations | Advanced Search | Help

Intrinsic Parameterizations of Surface Meshes (2002) [93 citations — 9 self]

by Mathieu Desbrun ,  Mark Meyer ,  Pierre Alliez
Add To MetaCart

Abstract:

Parameterization of discrete surfaces is a fundamental and widely-used operation in graphics, required, for instance, for texture mapping or remeshing. As 3D data becomes more and more detailed, there is an increased need for fast and robust techniques to automatically compute least-distorted parameterizations of large meshes. In this paper, we present new theoretical and practical results on the parameterization of triangulated surface patches.

Citations

401 Multiresolution analysis of arbitrary meshes – ECK, DEROSE, et al. - 1995
262 Matroids and graphs – Tutte - 1959
190 Parametrization and smooth approximation of surface triangulations – FLOATER - 1997
163 Discrete differential-geometry operators for triangulated 2-manifolds – Meyer, Desbrun, et al. - 2003
159 Fitting smooth surfaces to dense polygon meshes – KRISHNAMURTHY, LEVOY - 1996
150 MAPS: Multiresolution Adaptive Parameterization of Surfaces – LEE, SWELDENS, et al.
141 Least squares conformal maps for automatic texture atlas generation – LÉVY, PETITJEAN, et al. - 2002
138 Texture mapping progressive meshes – SANDER, SNYDER, et al. - 2001
135 Integral geometry and geometric probability – Santaló - 1976
108 Shape transformation for polyhedral objects – KENT, CARLSON, et al. - 1992
106 Interactive texture mapping – MAILLOT, YAHIA, et al.
106 Lapped Textures – PRAUN, FINKELSTEIN, et al.
90 Non-distorted texture mapping for sheared triangulated meshes – LÉVY, MALLET
88 Mean-value Coordinates – FLOATER - 2003
83 Conformal Surface Parameterization for Texture Mapping – HAKER, ANGENENT, et al.
75 Modern Differential Geometry of Curves and Surfaces with Mathernatica, 2nd ed. Boca Raton, crc press edition – Gray - 1997
72 Consistent mesh parameterizations – Praun, Sweldens, et al. - 2001
66 F.: Modeling surfaces of arbitrary topology using manifolds – GRIMM, HUGHES - 1995
66 Vorlesungen über Inhalt, Oberfläche und Isoperimetrie – Hadwiger - 1957
54 Piecewise surface flattening for non-distorted texture mapping – BENNIS, VÉZIEN, et al.
42 Meshless parameterization and surface reconstruction. Computer Aided Geometric Design 2001;18(2):77–92 – MS, Reimers
39 Constrained Texture Mapping for Polygonal Meshes – LÉVY - 2001
34 MIPS: An efficient global parametrization method – HORMANN, GREINER - 1999
30 Guaranteed intersection-free polygon morphing – Gotsman, Surazhsky - 2001
27 Hierarchical computation of PL harmonic embeddings – Duchamp, Certain, et al. - 1997
23 Surface parameterization for meshing by triangulation flattening – Sheer, Sturler
15 Hierarchical parametrization of triangulated surfaces – HORMANN, GREINER, et al. - 1999
11 Implicit fairing of arbitrary meshes using diffusion and curvature flow – Desbrun, Meyer, et al. - 1999
11 A Technique for Constructing Developable Surfaces. Graphics Interface ’96 – SUN, FIUME - 1996
10 Computing Discrete Minimal Surfaces – PINKALL, POLTHIER - 1993
10 SignalSpecialized Parameterization – SANDER, GORTLER, et al. - 2002
8 Constraint-satisfying Planar Development of Complex Surfaces – Parida, Mudur - 1993
6 Parameterizing Meshes with Arbitrary Topology – CAMPAGNA, SEIDEL - 1998
3 Two-dimensional Trimmed Surface Development using a Physics-based Model – WANG, CHEN, et al. - 1999
3 Surface Flattening based on Energy Model. Computer Aided Design (to appear). c○ The Eurographics Association and – WANG, CHEN, et al. - 2002
3 Morphological Characterization of Spatial Patterns – MICHIELSEN, RAEDT
3 Generalyzed Barycentric Coordinates for Irregular N-gons – MEYER, LEE, et al. - 2002
2 A Variational Approach to Optimal Meshes – RUMPF - 1996
2 Minkowsky Functionals in Cosmology. Generation of Large-Scale Structure – SCHMALZING, KERSCHER