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.
|
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
|