HAKER, S., ANGENENT, S., TANNENBAUM, A., KIKINIS, R., SAPIRO, G., AND HALLE, M. 2000. Conformal surface parameterization for texture mapping. IEEE Trans. on Vis. and Comp. Graphics 6, 2, 181--189.  Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
First 50 documents
Engineering with Computers (2001) 17: 326--337 - Springer-Verlag London Limited (Correct)
....be used as the basis for the parameterization algorithm described below. For parameterization purposes the triangulation may be coarse and have lax quality constraints. A two dimensional parameterization of faceted surfaces has many other applications. These applications include texture mapping [5 7], surface reconstruction, multiresolutional analysis [8] formation of ship hulls, generation of clothing patterns [9] and metal forming. An algorithm for two dimensional parameterization of tessellated surfaces first constructs a twodimensional mesh with a similar connectivity to the ....
....no validity guarantees are provided for the method. A large amount of research on providing a parameterization for tessellated surfaces has been done in the context of computer graphics, since parameterization is required to generate non distorted texture mappings. Some papers like Haker et al. [5] provide a mapping to a sphere, which is less useful in the context of mesh generation. Zigelman et al. 6] provide a method for flattening surfaces using multi dimensional scaling. It computes the twodimensional domain boundaries as part of the solution. The method does not guarantee the validity ....
Haker, S., Angenent, S., Tannenbaum, A., Kikinis, R., Sapiro, G., Halle, M. (2000) Conformal surface parameterization for texture mapping. IEEE Trans Visualization and Computer Graphics, 6(2), 181--189
Genus Zero Surface Conformal Mapping and Its.. - Gu, Wang, Chan.. (2003) (Correct)
....the collection and databasing of brain maps. Nonetheless, computational problems arise when integrating and comparing brain data. One way to analyze and compare brain data is to map them into a canonical space while retaining geometric information on the original structures as far as possible [1, 2, 3, 4, 5, 6]. Fischl et al. 1] demonstrate that surface based brain mapping can o#er advantages over volume based brain mapping, especially when localizing cortical deficits and functional activations. Thompson et al. 4, 5] introduce a mathematical framework based on covariant partial di#erential equations, ....
....the Cauchy Riemann equation using the least squares method. They show rigorously that the quasi conformal parameterization exists uniquely, and is invariant to similarity transformations, independent of resolution, and orientation preserving. 3. Laplacian operator linearization. Haker et al. [3, 16] use a method to compute a global conformal mapping from a genus zero surface to a sphere by representing the Laplace Beltrami operator as a linear system. 4. Angle based method. She#er et al. 17] introduce an angle based flattening method to flatten a mesh to a 2D plane so that it minimizes the ....
[Article contains additional citation context not shown here]
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle. Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics, 6(2):181--189, April-June 2000.
Optimally Cutting a Surface into a Disk - Erickson, Har-Peled (2002) (7 citations) (Correct)
....a continuous mapping from the texture, usually a two dimensional rectangular image, to the surface. Unfortunately, if the surface is not a topological disk, no such map exists. In such a case, the only feasible solution is to cut the surface so that it becomes a topological disk. Haker et al. [18] present an algorithm for directly texture mapping models with the topology of a sphere, where the texture is also embedded on a sphere. Of course, when cutting the surface, one would like to find the best possible cut under various considerations. For example, one might want to cut the surface ....
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle. Conformal surface parameterization for texture mapping. IEEE Trans. Visualizat. Comput. Graph. 6(2):181--187, 2000.
Genus Zero Surface Conformal Mapping and Its.. - Gu, Wang, Chan.. (2003) (Correct)
....the CauchyRiemann equation using the least squares method. They show rigorously that the quasi conformal parameterization exists uniquely, and is invariant to similarity transformations, independent of resolution, and orientation preserving. 3. Laplacian operator linearization. Haker et al. [3] use a method to compute a global conformal mapping from a genus zero surface to a sphere by representing the Laplace Beltrami operator as a linear system. 4. Circle packing. Circle packing is introduced in [2] Classical analytic functions can be approximated using circle packing. But for ....
....the cortical surface of the brain is a genus zero surface, conformal mapping o#ers a convenient method to retain local geometric information, when mapping data between surfaces. Indeed, several groups have created flattened representations or visualizations of the cerebral cortex or cerebellum [2, 3] using conformal mapping techniques. However, these approaches are either not strictly angle preserving [2] or there may be areas with large geometric distortions [3] In this paper, we propose a new genus zero surface conformal mapping algorithm [6] and demonstrate its use in computing conformal ....
[Article contains additional citation context not shown here]
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle. Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics, 6(2):181--189, April-June 2000.
Multiresolution Computation of Conformal Structures of Surfaces - Gu, Wang, Yau (Correct)
....can not discover the conformal structure of the surfaces. Most works in conformal parametrization only deal with genus zero surfaces. There are several basic approaches, such as variational method [13, 12, 11, 5] approximation of Riemann Cauchy equation [1] linearization of Laplacian operator [6]. The problem of computing global conformal structures for general closed meshes is first solved by Gu and Yau in [5] and [4] The proposed method approximates De Rham cohomology by simplicial cohomology, and compute a basis of holomorphic one forms. The method has solid theoretic bases. Gu and ....
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle. Conformal surface parameterization for texture mapping. IEEE TVCG, 6(2):181--189, 2000.
Multilevel Solvers For Unstructured Surface Meshes - Aksoylu, Khodakovsky, Schröder (3 citations) (Correct)
.... editing [42] or just plain decoration ( texture mapping ) 60] Most parameterization algorithms define a good parameterization as one which minimizes some energy functional [18, 37, 62, 29, 27, 64, 25, 55, 39] The energy serves to encode measures such as low distortion [59, 60] conformality [33, 13, 47, 28], area preservation [13] or elastic energy [50] Others define the solution to satisfy barycentric coordinate conditions [19, 21] which take the original triangle shapes into account. A basic building block of all of these parameterization algorithms is the solution of sparse linear systems ....
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle, Conformal Surface Parameterization for Texture Mapping, IEEE TVCG, 6 (2000), pp. 181--189.
Preconditioners For Indefinite Linear Systems.. - Liesen, de.. (2001) (1 citation) (Correct)
....approaches, and we give an overview of the algorithm. Surface parameterization serves a number of important applications, such as three dimensional (surface) mesh generation [1] anisotropic meshing [2, 11] in cases where an analytic description of the surface does not exist, texture mapping [9, 23, 10], surface reconstruction, multiresolutional analysis [7] formation of ship hulls, generation of clothing patterns [13] and metal forming. Many other approaches for the parameterization of tesselated surfaces have been proposed [13, 7, 8, 12, 9, 23, 10] These approaches are restricted in their ....
....of the surface does not exist, texture mapping [9, 23, 10] surface reconstruction, multiresolutional analysis [7] formation of ship hulls, generation of clothing patterns [13] and metal forming. Many other approaches for the parameterization of tesselated surfaces have been proposed [13, 7, 8, 12, 9, 23, 10]. These approaches are restricted in their use by the requirement that the planar domain boundary has to be prede ned and or has to be convex. Moreover, some of these approaches either do not guarantee correctness of the resulting mesh, or they do not preserve the surface metric structures. For a ....
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle. Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics, 6 (2):181-189, 2000.
Bounded-distortion Piecewise Mesh Parameterization - Sorkine, Cohen-Or.. (2002) (11 citations) (Correct)
....atlas, mesh partitioning, parameterization, surface flattening, texture mapping, 3D painting 1 Introduction Low distortion parameterization of triangulated surfaces is a fundamental problem in computer graphics. Such parameterizations are essential for operations such as texture mapping [1, 6, 9, 11, 14, 21], texture synthesis on surfaces [17, 19, 20] interactive 3D painting [7] remeshing and multi resolution analysis [2, 8, 18] mesh compression [4, 16] and digital geometry processing [5] Since in 3D computer graphics surfaces are 2D entities (2 manifolds) embedded in 3D space, a ....
....linear systems by fixing one of the two coordinates in the plane and solving a linear optimization problem for the other. Their method also allows to interactively specify important regions on the surface, which have higher priority and are less distorted in the parameterization. Haker et al. [6] propose an interesting method to embed a closed surface onto a sphere by computing a conformal mapping which preserves angles of the mesh triangles. Another work by Sheffer and de Sturler [15] also concentrates on preserving angles of the mesh while mapping it onto the 2D plane. The mapping is ....
Steven Haker, Sigurd Angenent, Allen Tannenbaum, Ron Kikinis, Guillermo Sapiro, and Michael Halle. Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics, 6(2):181-- 189, April--June 2000. ISSN 1077-2626.
Variational Problems and Partial Differential - Equations On Implicit Self-citation (Sapiro) (Correct)
No context found.
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle, "Conformal surface parameterization for texture mapping," University of Minnesota IMA Preprint Series 1611, April 1999.
Unconstrained Spherical Parameterization - Friedel, Schröder, Desbrun (Correct)
No context found.
HAKER, S., ANGENENT, S., TANNENBAUM, A., KIKINIS, R., SAPIRO, G., AND HALLE, M. 2000. Conformal surface parameterization for texture mapping. IEEE Trans. on Vis. and Comp. Graphics 6, 2, 181--189.
A Moving Mesh Approach to Stretch-Minimizing Mesh.. - Yoshizawa, Belyaev.. (2005) (Correct)
No context found.
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle. Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics, 6(2):181--189, 2000.
A Fast and Simple Stretch-Minimizing Mesh Parameterization - Shin Yoshizawa Alexander (2004) (Correct)
No context found.
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle. Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics, 6(2):181--189, 2000.
An Adaptable Surface Parameterization Method - Degener, Meseth, Klein (2003) (1 citation) (Correct)
No context found.
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle. Conformal surface Parameterization for texture mapping. IEEE TVCG, 6(2):181--189, 2000.
Optimally Cutting a Surface into a Disk - Erickson, Har-Peled (2002) (7 citations) (Correct)
No context found.
Steven Haker, Sigur Angenent, Allen Tannenbaum, Ron Kikinis, Guillermo Sapiro, and Michael Halle. Conformal surface parameterization for texture mapping. IEEE Trans. Visualizat. Comput. Graph., 6(2):181-187, 2000.
Shape-Preserving Parametrization of Genus 0 Surfaces - Birkholz (2004) (Correct)
No context found.
Haker, S., Angenent, S., Tannenbaum, A., Kikinis, R., Sapiro, G., and Halle, M. Conformal surface parameterization for texture mapping. IEEE TVCG 6 (2000)
Genus Zero Surface Conformal Mapping and Its.. - Gu, Wang, Chan.. (2004) (Correct)
No context found.
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle, "Conformal surface parameterization for texture mapping," IEEE Transactions on Visualization and Computer Graphics, vol. 6, no. 2, pp. 181--189, April-June 2000.
Genus Zero Surface Conformal Mapping and Its.. - Gu, Wang, Chan.. (2004) (Correct)
No context found.
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle, "Conformal surface parameterization for texture mapping," IEEE Transactions on Visualization and Computer Graphics, vol. 6, no. 2, pp. 181--189, April-June 2000.
Computing Conformal Invariants: Period Matrices - Gu, Wang, Yau (2003) (Correct)
No context found.
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M.Halle. Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics, 6:240--251, April-June 2000.
Geometry Images - Xianfeng Gu Steven (2002) (22 citations) (Correct)
No context found.
HAKER, S., ANGENENT, S., TANNENBAUM, A., KIKINIS,R., SAPIRO, G., AND HALLE, M. Conformal Surface Parameterization for Texture Mapping. IEEE TVCG 6, 2 (2000), 181--189.
An Adaptable Surface Parameterization Method - Degener, Meseth, Klein (2003) (1 citation) (Correct)
No context found.
S. Haker, S. Angenent, A. Tannenbaum, R. Kikinis, G. Sapiro, and M. Halle. Conformal surface Parameterization for texture mapping. IEEE TVCG, 6(2):181--189, 2000.
Eurographics Symposium on Geometry Processing (2004) - Scopigno Zorin Editors (Correct)
No context found.
HAKER S., ANGENENT S., TANNENBAUM A., KIKINIS R., SAPIRO G., HALLE M.: Conformal surface parameterization for texture mapping. In IEEE TVCG (2000), vol. 6, pp. 181--189. 2
Eurographics Symposium on Geometry Processing (2004) - Scopigno Zorin Editors (Correct)
No context found.
HAKER S., ANGENENT S., TANNENBAUM A., KIKINIS R., SAPIRO G., HALLE M.: Conformal surface parameterization for texture mapping. In IEEE TVCG (2000), vol. 6, pp. 181--189.
Robust Spherical Parameterization Of Triangular Meshes - Sheffer, Gotsman, Dyn (2004) (Correct)
No context found.
Haker, S., Angenent, S., Tannenbaum, A., Kikinis, R., Sapiro, G., Halle, M.: Conformal surface parameterization for texture mapping. IEEE Transactions on Visualization and Computer Graphics 6, 181--189 (2000).
Parametrization for Surfaces with Arbitrary Topologies - Gu (2002) (Correct)
No context found.
Haker, S., Angenent, S., Tannenbaum, A., Kikinis, R., Sapiro, G., and Halle, M. Conformal surface parameterization for texture mapping. IEEE TVCG 6, 2 (2000), 181--189. 127
Intrinsic Parameterizations of Surface Meshes - Desbrun, Meyer, Alliez (2002) (22 citations) (Correct)
No context found.
HAKER, S., ANGENENT, S., TANNENBAUM, A., KIKINIS, R., SAPIRO, G., AND HALLE, M. Conformal Surface Parameterization for Texture Mapping. IEEE Transactions on Visualization and Computer Graphics 6, 2 (April-June 2000), pp.181--189.
First 50 documents
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC