Abstract: A system, method, and program product for re-parameterizing one or more three-dimensional Catmull-Clark models is disclosed. Each of the models has one or more surfaces and one or more extraordinary vertices. One or more adjacent iso-parameter lines of the model have a spacing between them that increases as the iso-parameter lines approach the extraordinary vertex. A re-parameterization process that re-parameterizes the model so that one or more of the extraordinary vertices have adjacent iso-parameter lines with spacing that does not increase as the lines approach the extraordinary vertex.

Abstract: A system and program product for re-meshing of a three-dimensional (3D) input model using progressive implicit approximating levels are provided. Specifically, an initial quadrilateral mesh for a 3D input model is provided. Then, an implicit approximating field is built for a first approximating level (L) of the 3D input model using an implicit surface modeling technique. An iso-contour of the implicit approximating field is then extracted, and the quadrilateral mesh is fit to the first approximating level (L). The fit between the quadrilateral mesh and the first approximating level (L) is then estimated, and it is determined whether the fit meets a predetermined quality criterion. If not, the quadrilateral mesh is refined using one or more of a sequence of topological operations are performed to improve the fit. The process is then iteratively repeated for subsequent approximation levels until one of the subsequent approximation levels is fit to the 3D input model.

Abstract: A method, a data storage medium storing a computer program, and a data processing system are disclosed to process data comprised of a triangulated mesh representation of an object. The method includes establishing a continuous bijective mapping between a first triangle mesh representation of the object and a second polygonal mesh representation of the object during the application of at least one mesh connectivity operation selected from a set of mesh connectivity operations. Establishing the mapping includes using a set of charts where an individual chart encodes a mapping of a single face of the second polygonal mesh representation to a plurality of triangles of the first triangle mesh representation that the single face of the second mesh representation overlaps with parametrically. The method further includes updating at least one chart of the set of charts in response to each application of the at least one mesh connectivity operation.

Abstract: A system, method, and program product for re-parameterizing one or more three-dimensional Catmull-Clark models is disclosed. Each of the models has one or more surfaces and one or more extraordinary vertices. One or more adjacent iso-parameter lines of the model have a spacing between them that increases as the iso-parameter lines approach the extraordinary vertex. A re-parameterization process that re-parameterizes the model so that one or more of the extraordinary vertices have adjacent iso-parameter lines with spacing that does not increase as the lines approach the extraordinary vertex.

Abstract: A method, system and program product for re-meshing of a three-dimensional (3D)input model using progressive implicit approximating levels are provided. Specifically, an initial quadrilateral mesh for a 3D input model is provided. Then, an implicit approximating field is built for a first approximating level (L) of the 3D input model using an implicit surface modeling technique. An iso-contour of the implicit approximating field is then extracted, and the quadrilateral mesh is fit to the first approximating level (L). The fit between the quadrilateral mesh and the first approximating level (L) is then estimated, and it is determined whether the fit meets a predetermined quality criterion. If not, the quadrilateral mesh is refined using one or more of a sequence of topological operations are performed to improve the fit. The process is then iteratively repeated for subsequent approximation levels until one of the subsequent approximation levels is fit to the 3D input model.

Abstract: A system and program product for re-meshing of a three-dimensional (3D) input model using progressive implicit approximating levels are provided. Specifically, an initial quadrilateral mesh for a 3D input model is provided. Then, an implicit approximating field is built for a first approximating level (L) of the 3D input model using an implicit surface modeling technique. An iso-contour of the implicit approximating field is then extracted, and the quadrilateral mesh is fit to the first approximating level (L). The fit between the quadrilateral mesh and the first approximating level (L) is then estimated, and it is determined whether the fit meets a predetermined quality criterion. If not, the quadrilateral mesh is refined using one or more of a sequence of topological operations are performed to improve the fit. The process is then iteratively repeated for subsequent approximation levels until one of the subsequent approximation levels is fit to the 3D input model.

Abstract: A system, method, and program product for re-parameterizing one or more three-dimensional Catmull-Clark models is disclosed. Each of the models has one or more surfaces and one or more extraordinary vertices. One or more adjacent iso-parameter lines of the model have a spacing between them that increases as the iso-parameter lines approach the extraordinary vertex. A re-parameterization process that re-parameterizes the model so that one or more of the extraordinary vertices have adjacent iso-parameter lines with spacing that does not increase as the lines approach the extraordinary vertex.

Abstract: A method, a data storage medium storing a computer program, and a data processing system are disclosed to process data comprised of a triangulated mesh representation of an object. The method includes establishing a continuous bijective mapping between a first triangle mesh representation of the object and a second polygonal mesh representation of the object during the application of at least one mesh connectivity operation selected from a set of mesh connectivity operations. Establishing the mapping includes using a set of charts where an individual chart encodes a mapping of a single face of the second polygonal mesh representation to a plurality of triangles of the first triangle mesh representation that the single face of the second mesh representation overlaps with parametrically. The method further includes updating at least one chart of the set of charts in response to each application of the at least one mesh connectivity operation.

Abstract: Disclosed is an improved computer system, method, and program product that has one or more input devices for receiving one or more input meshes representing a three dimensional model. The three dimensional model is capable of being represented as a 2-manifold triangular mesh. A conversion process automatically converts the input mesh to a multiresolution quadrilateral-based subdivision surface (MQSS) representation.