Consistent mesh parameterizations

Praun, Emil; Sweldens, Wim; Schröder, Peter

doi:10.1145/383259.383277

Cited by 224 publications

(166 citation statements)

References 9 publications

Supporting

Mentioning

166

Contrasting

Order By: Relevance

“…Praun et al [15] consistently parameterize a set of genus-0 models onto a user-specified simplicial complex. Unlike their method, we do not impose a fixed consistent connectivity of the base domain, but only satisfy the given point constraints, thereby providing the map more freedom.…”

Section: Previous Workmentioning

confidence: 99%

“…Once we have such a path network, we simplify the mesh to produce a progressive mesh, but we keep the feature vertices, and only allow vertices on the feature paths to be collapsed into other path or feature vertices [16]. To produce the path network on the 3D surface, we use a method similar to those of Praun et al [15] and Kraevoy et al [11]. We link together pairs of feature points, with great circle arcs on the sphere, and paths on the mesh, until we complete a full "triangulation".…”

Section: Constrained Spherical Parameterizationmentioning

confidence: 99%

“…The algorithm proceeds in greedy fashion, selecting the best pair from a pool of candidates. To guarantee both termination and topological equivalence of the two "triangulations", we maintain consistent ordering of neighbors around each vertex in the partially completed graph, and we avoid adding any arcs/paths closing cycles before we have linked all the vertices in a spanning tree [15].…”

Section: Constrained Spherical Parameterizationmentioning

confidence: 99%

“…We call a swirl the local configuration of these long paths (Figure 4). Praun et al [15] note that swirls cannot be repaired using 1-ring relaxations of patches around a vertex, and propose several heuristics to prevent them. Unfortunately we do not benefit from a user-provided base domain, so some of their heuristics do not work in our case.…”

Section: Dealing With Swirlsmentioning

confidence: 99%

“…In addition to using heuristics that avoid swirls (as Praun et al did [15]), we have also developed a method to identify and remove them in the rare cases that they do occur. Paths between two features incident to many other "long" paths (with high ratios between actual length and geodesic distance between endpoints) are likely to be the center of swirls.…”

Section: Swirl-avoiding Heuristicsmentioning

confidence: 99%

See 4 more Smart Citations

Consistent Spherical Parameterization

Asirvatham

Praun

Hoppe

2005

Lecture Notes in Computer Science

Self Cite

View full text Add to dashboard Cite

Abstract.Many applications benefit from surface parameterization, including texture mapping, morphing, remeshing, compression, object recognition, and detail transfer, because processing is easier on the domain than on the original irregular mesh. We present a method for simultaneously parameterizing several genus-0 meshes possibly with boundaries onto a common spherical domain, while ensuring that corresponding user-highlighted features on each of the meshes map to the same domain locations. We obtain visually smooth parameterizations without any cuts, and the constraints enable us to directly associate semantically important features such as animal limbs or facial detail. Our method is robust and works well with either sparse or dense sets of constraints.

show abstract

Section: Previous Workmentioning

confidence: 99%

Section: Constrained Spherical Parameterizationmentioning

confidence: 99%

Section: Constrained Spherical Parameterizationmentioning

confidence: 99%

Section: Dealing With Swirlsmentioning

confidence: 99%

Section: Swirl-avoiding Heuristicsmentioning

confidence: 99%

See 3 more Smart Citations

Consistent Spherical Parameterization

Asirvatham

Praun

Hoppe

2005

Lecture Notes in Computer Science

Self Cite

View full text Add to dashboard Cite

show abstract

Generating genus‐n‐to‐m mesh morphing using spherical parameterization

Lee

Yao²,

Chu³

et al. 2006

Computer Animation & Virtual

View full text Add to dashboard Cite

Surface parameterization is a fundamental tool in computer graphics and benefits many applications such as texture mapping, morphing, and re-meshing. Many spherical parameterization schemes with very nice properties have been proposed and widely used in the past. However, it is well known that the spherical parameterization is limited to genus-0 models. In this paper, we first propose a novel framework to extend spherical parameterization for handling a genus-n surface. In this framework, we represent a surface S of arbitrary genus by a positive mesh O and several negative meshes N i . Each negative surface is used to represent a hole. A positive surface O is obtained by removing all holes in the original surface S. Then, both positive and negative meshes are genus-0 and can be spherically parameterized, respectively. To compute S, we can use a Boolean difference operation to subtract negative N i from a positive O. Next, we apply this novel framework to generate genus-n-to-m mesh morphing application without restriction of n ¼ m. Finally, there are many interesting non-genus-0 mesh morphing sequences generated.

show abstract

Facial shape and 3D skin

Lee

Soon²

2006

Computer Animation & Virtual

View full text Add to dashboard Cite

We present novel ideas for facial shape and skin simulation on extremely detailed threedimensional facial meshes. Our input database is composed of a small number of scanned human faces with resolutions up to several million triangles, where even the pores are clearly distinguished. We show how to decompose the facial meshes into the global shape of the face plus skin detail (3D skin), and then to reconstitute them. Our modeling methodology allows us to simulate the exaggeration of the facial global shape, retaining the original skin detail, as well as to transfer 3D skin from one face to another. First, we represent all the input faces in terms of a homogeneous structure on the base model in low resolution by using mesh adaptation techniques. Second, the differences between the original mesh and a base mesh, which appear as skin detail, are captured and stored, so that each face is decomposed into the global shape (a base mesh) plus skin detail. Face reconstitution after global shape exaggeration and/or skin transfer enables delicate simulation of facial models. In addition, we can increase the resolution of any model scanned at a low resolution by transferring skin from a higher resolution model. Our method shows successful manipulation of the minute structure of 3D skin differently from other methods such as Normal Mapping, Displacement Mapping, Displaced Subdivision Surfaces, and Normal Meshes where none of these techniques show manipulation of minute structure like ours and only approximation is used while our method recovers the original structure.

show abstract

Consistent mesh parameterizations

Cited by 224 publications

References 9 publications

Consistent Spherical Parameterization

Consistent Spherical Parameterization

Generating genus‐n‐to‐m mesh morphing using spherical parameterization

Facial shape and 3D skin

Contact Info

Product

Resources

About