A. Lee, W. Sweldens, P. Schroeder, L. Cowsar, and D. Dobkin. Maps: Multiresolution adaptive parametrization of surfaces. In Computer Graphics (SIGGRAPH '98 Proceedings), pages 95-- 104, 1998. Home/Search Document Not in Database Summary Related Articles Check |
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Texture Mapping Progressive Meshes - Sander, Snyder, Gortler, Hoppe (2001) (34 citations) (Correct)
....et al. 21] partition mesh faces according to a bucketing of face normals. Eck et al. 4] use a Voronoi based partition. These last two algorithms make little effort to adapt charts to surface geometry, so the chart boundaries can hinder simplification, leading to poor LaD approximations. MAPS [18] and Normal Meshes [8] map edges of the simplified base domain back to the original mesh. While the resulting charts adapt to surface geometry, their boundaries cut across faces of original mesh, requiring addition of new vertices and faces. For the applications in [8] 18] these additional ....
....LaD approximations. MAPS [18] and Normal Meshes [8] map edges of the simplified base domain back to the original mesh. While the resulting charts adapt to surface geometry, their boundaries cut across faces of original mesh, requiring addition of new vertices and faces. For the applications in [8][18], these additional vertices are only temporary, because the mesh geometry is subsequently resampled. However, our application is to generate a PM from a userspecified mesh, whose connectivity is often carefully optimized, so the imposition of new vertices is a drawback. Chart paralnetrization. ....
LEE, A., SWELDENS, W., SCHRODER, P., COWSAP,, L., AND DOBKIN, D. MAPS: Multiresolution adaptive parametrization of surfaces. SIGGR/iPH 1998, pp. 95-104.
Explicit Control of Topological Transitions in.. - Takahashi, Kokojima.. (2001) (Correct)
....mesh to find a coarse mesh that approximates the original shape of the input mesh, and then reparametrizes the simplified mesh to construct a coarse tofine mesh hierarchy. Since the resultant hierarchy requires 1 to 4 subdivision connectivity, we employed the MAPS algorithm proposed by Lee et al. [6] for the task. Figure 9 shows examples of multiresolution representations of a torus ( and a sphere ( in which 10 10 represents a reparametrized mesh of ) at resolution level . Here, meshes at level 0 (i.e. serve as a basis for mesh refinement at higher ....
A. W. F. Lee, W. Sweldens, P. Schroder, L. Cowsar, and D. Dobkin. MAPS: Multiresolution Adaptive Parametrization of Surfaces. In Computer Graphics (Proceedings Siggraph '98), pages 95--104, 1998.
Approximating Digital Shapes by Parametric Surfaces - Goshtasby (Correct)
....be used. 7 Concluding Remarks An algorithm to subdivide a digital shape into a triangular mesh, parametrize the mesh vertices as well as the shape points, and fit a rational Gaussian surface to the points was presented. Attempts to parametrize mesh vertices have been made before. Lee et al. [6] simplified a mesh to a base mesh, assigned parameters to the vertices of the base mesh, and determined parameters at the original mesh vertices through conformal mapping of the base mesh to the original mesh. Rogers and Fog [7] developed a nonlinear optimization method for determining the ....
A. W. F. Lee, W. Sweldens, P. Schroder, L. Cowsar, and D. Dobkin, MAPS: Multiresolution adaptive parametrization of surfaces, Computer Graphics Proceedings (1998), 95--104.
Interactive Rendering of Surface Light Fields - Azuma (1999) (Correct)
....than interpolating. During this step, we fill holes in the data due to occlusions and other effects using an algorithm based on Gaussian smoothing[12] 5.2. Regionification and direction simplification We decompose the geometry into texture regions and parametrize using a modified version of MAPS[6]. Instead of a hierarchy of simplification levels, our algorithm proceeds greedily from fine to coarse, similar to the progressive mesh simplification[5] This is because we would like texture regions to exhibit certain properties: specifically, regions should be small and flat. Flatness ....
Aaron W. F. Lee, Wim Sweldens, Peter Schrder, Lawrence Cowsar and David Dobkin. "MAPS: Multiresolution adaptive parametrization of surfaces" In SIGGRAPH 98 Conference Proceedings. pages 95-104. ACM SIGGRAPH, Addison-Wesley, July, 1998.
Blendiung Shapes by Using Subdivision Surfaces - Ohbuchi, al. (2000) (Correct)
....et al. 5] employed coarse meshes overlaid on the source meshes to let users specify mesh to mesh feature correspondence. Lee, et al. 6] introduced multiresolution reparameterization of polygonal meshes to morphing. Their decomposition, an application of MAPS mesh reparameterization algorithm [7], is so that the feature lines and points speci ed in their original (i.e. highest resolution) meshes are preserved in the lowest resolution mesh. Consequently, feature correspondences can be established in the simplest, lowest resolution mesh. As mentioned, this class of algorithm is not suited ....
....multiple levels of detail coecients. Since the wavelet analysis assumes a triangular mesh with 1 to 4 subdivision connectivity as its input, the S mesh may require reparameterization. To reparameterize, we employ Multiresolution Adaptive Parameterization of Surfaces (MAPS) algorithms by Lee et al. [7]. The S mesh reparameterized to have 1 to 4 subdivision connectivityis called a TS mesh. B. Base I mesh creation: For each of the TS meshes, the lowest resolution (i.e. the simplest) TS mesh produced by the MR analysis above is used to create a base tetrahedral I mesh that interpolates ....
Lee AWF, Sweldens W, Schroder P,Cowsar L, Dobkin D, MAPS: Multiresolution adaptive parametrization of surfaces, in: Computer Graphics (Proceedings Siggraph '98), 1998. p. 95{ 104. 13
Pattern-Based Texturing Revisited - Neyret, Cani (1999) (8 citations) (Correct)
....to consistently assign a specific texture sample to each patch of the texture mesh. 4. We render the object s geometry using the local u;v coordinates of the mesh vertices to map the texture samples. A possible solution for implementing step 2 would be to adapt the set of methods introduced in [10]. In our current implementation, we rather compute geodesic curves using a standard length minimization process along a polygonal line, which is constrained to move onto the geometric mesh (the line is made of segments whose ends lie on the mesh edges) Then, we have developed a specific method, ....
....we have developed a specific method, described below, for assigning u;v local coordinates to mesh vertices that lie on a texture patch without producing excessively large texture distortions. Alternative (and possibly better) solutions for implementing this part of the process can be found in [10, 4, 11]. 3.2 Computing texture coordinates for mesh points The texture mesh may have been designed at either a smaller or a larger resolution than the geometric mesh that describes the object. In the latter case, the local part of the surface that falls into a patch of the texture mesh (i.e. between ....
Aaron Lee, Wim Sweldens, Peter Schroder, Lawrence Cowsar, and David Dobkin. MAPS: Multiresolution adaptive parametrization of surfaces. In Michael Cohen, editor, SIGGRAPH 98 Conference Proceedings, pages 95--104. ACM SIGGRAPH, Addison Wesley, July 1998.
Multiresolution Signal Processing for Meshes - Guskov, Sweldens, Schröder (1999) (80 citations) Self-citation (Sweldens) (Correct)
....smoothness. In the irregular triangle mesh setting there is a priori no such obvious parameterization. In this case using a uniformity assumption leads to parametric non smoothness with undesirable consequences for further processing. One approach to remedy this situation is the use of remeshing [8, 19], which maintains the original geometric smoothness, but improves the sampling to vary smoothly. This enables subsequent treatment with a uniform parameter assumption without detrimental effects. Here we wish to build tools which work on the original meshes directly. To understand the role of the ....
....by researchers in several different areas. These include classical subdivision [22] which we generalize to the irregular setting with the help of mesh simplification [13] and careful attention to the role of smooth parameterizations. Parameterizations were examined in the context of remeshing [19, 8, 9], texture mapping (e.g. 20] and variational modeling [16, 28, 21] One area which employs these elements is hierarchical editing for semi regular [29] and irregular meshes [18] Signal processing as an approach to surface fairing in the irregular setting was first considered by Taubin [26, ....
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LEE,A.,SWELDENS,W.,SCHR ODER,P.,COWSAR, L., AND DOBKIN,D. MAPS: Multiresolution Adaptive Parametrization of Surfaces. In Computer Graphics (SIGGRAPH '98 Proceedings), 95--104, 1998.
The Visual Computer manuscript No. - Will Be Inserted (Correct)
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A. Lee, W. Sweldens, P. Schroeder, L. Cowsar, and D. Dobkin. Maps: Multiresolution adaptive parametrization of surfaces. In Computer Graphics (SIGGRAPH '98 Proceedings), pages 95-- 104, 1998.
Automatic Detection of - Geodesic Ridges And (Correct)
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A. Lee, W. Sweldens, P. Schroder, and D. Dobkin. Maps: Multiresolution adaptive parametrization of surfaces. Proc. SIGGRAPH 98, pages 95-104, 1998.
Compressing Volumes and Animations - Rossignac (2004) (Correct)
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A. W. F. Lee, W. Sweldens, P. Schroeder, L. Cowsar, and D. Dobkin, "MAPS: Multiresolution adaptive parametrization of surfaces," in SIGGRAPH'98 Conference Proceedings, 1998, pp. 95--104.
Multiresolution 3D Mesh Compression - PAYAN, ANTONINI (2002) (Correct)
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A.W.F Lee, W. Sweldens, P. Schroder, P. Cowsar, and D. Dobkin, "MAPS: Multiresolution adaptive parametrization of surfaces," SIGGRAPH, 1998.
Mean Square Error Approximation for Wavelet-based Semiregular .. - Payan, Antonini (2006) (Correct)
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A. Lee, W. Sweldens, P. Schr oder, P. Cowsar, and D. Dobkin, "MAPS: Multiresolution adaptive parametrization of surfaces," SIGGRAPH, 1998.
3D Multiresolution Context-Based Coding for Geometry Compression - Payan, Antonini (2003) (Correct)
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A.W.F Lee, W. Sweldens, P. Schroder, P. Cowsar, and D. Dobkin, "MAPS: Multiresolution adaptive parametrization of surfaces," SIGGRAPH, 1998.
Mean Square Error For Biorthogonal M-Channel Wavelet Coder - PAYAN, ANTONINI (2005) (Correct)
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A. Lee, W. Sweldens, P. Schroder, P. Cowsar, and D. Dobkin, "MAPS: Multiresolution Adaptive Parametrization of Surfaces," SIGGRAPH'98, 1998.
Converting Triangulations to Grids - Zomorodian (1998) (Correct)
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Lee, A. W. F., Sweldens, W., Sch oder, P., Cowsar, L., and Dobkin, D. MAPS: Multiresolution adaptive parametrization of surfaces. In SIGGRAPH 98 Conference Proceedings (Aug. 1998), Annual Conference Series, ACM SIGGRAPH, Addison Wesley. To be published.
Feature Sensitive Multiscale Editing on Surfaces - Clarenz, Griebel, Rumpf.. (Correct)
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A. Lee, W. Sweldens, P. Schroeder, L. Cowsar, and D. Dobkin. Maps: Multiresolution adaptive parametrization of surfaces. In Computer Graphics (SIGGRAPH '98 Proceedings), pages 95-- 104, 1998.
Skinning Characters using Surface-Oriented Free-Form.. - Karan Singh Karan (2000) (5 citations) (Correct)
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A. Lee, W. Sweldens, P. Schroder, L. Cowsar and D. Dobkin. MAPS: Multiresolution adaptive parametrization of surfaces. Computer Graphics, 95-- 105, 1998.
Discrete Parametrization for Deforming Arbitrary Meshes - Shigeru Kuriyama Toyohisa (1999) (Correct)
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Lee, A. W. F., Sweldens, W., Schroder, P., Cowsar, L., and Dobkin, D. MAPS: Multiresolution Adaptive Parametrization of Surfaces, In Proceedings of SIGGRAPH '98, pages 95--104, 1998.
Time Critical Isosurface Refinement and Smoothing - Pascucci, Bajaj (2000) (1 citation) (Correct)
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A. W. F. Lee, W. Sweldens, P. Schroder, L. Cowsar, and D. Dobkin. MAPS: Multiresolution adaptive parametrization of surfaces. In SIGGRAPH'98 Proc., pages 95--104, 1998.
Approximating Digital 3-D Shapes by Rational Gaussian.. - Jackowski, Satter.. (Correct)
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A. W. F. Lee, W. Sweldens, P. SchrSder, L. Cowsar, and D. Dobkin, MAPS: Multiresolution adaptive parametrization of surfaces, Computer Graphics Proceedings, 1998, 95 104.
Representing 3-D regions with rational Gaussian surfaces - Jackowski, Goshtasby, Satter (Correct)
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A. W. F. Lee, W. Sweldens, P. Schroder, L. Cowsar, and D. Dobkin, MAPS: Multiresolution adaptive parametrization of surfaces, Computer Graphics Proceedings, 1998, 95--104.
Multivariate Subdivision Schemes And Divided Differences - Guskov (1998) (7 citations) (Correct)
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A. Lee, W. Sweldens, P. Schroder, L. Cowsar, and D. Dobkin. MAPS: Multiresolution Adaptive Parametrization of Surfaces. Computer Graphics (SIGGRAPH '98 Proceedings), 1998.
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