Abstract: One embodiment of the invention disclosed herein provides techniques for fitting a mesh representation that includes a plurality of mesh points with a NURBS surface. A subdividing engine subdivides the mesh representation into a plurality of patches in a parametric domain. A vertex solving engine computes one or more vertex boundary continuity constraints for each vertex included in a plurality of vertices associated with the plurality of patches. An edge solving engine computes one or more edge boundary continuity constraints for each edge included in a plurality of edges associated with the plurality of patches. A patch solving engine fits a first patch included in the plurality of patches with at least one partial NURBS surface based on the vertex boundary continuity constraints and the edge boundary continuity constraints.

Abstract: One embodiment of the invention disclosed herein provides techniques for fitting a mesh representation that includes a plurality of mesh points with a NURBS surface. A subdividing engine subdivides the mesh representation into a plurality of patches in a parametric domain. A vertex solving engine computes one or more vertex boundary continuity constraints for each vertex included in a plurality of vertices associated with the plurality of patches. An edge solving engine computes one or more edge boundary continuity constraints for each edge included in a plurality of edges associated with the plurality of patches. A patch solving engine fits a first patch included in the plurality of patches with at least one partial NURBS surface based on the vertex boundary continuity constraints and the edge boundary continuity constraints.

Abstract: Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for receiving data describing a model, the model describing a curve network; determining boundary continuity constraints for each edge, of each face, in the model; combining the determined boundary continuity constraints to determine respective boundary continuity for each face; and determining, using the respective boundary continuity constraints, a respective surface patch for each face.

Abstract: One embodiment of the invention disclosed herein provides techniques for fitting a mesh representation that includes a plurality of mesh points with a NURBS surface. A subdividing engine subdivides the mesh representation into a plurality of patches in a parametric domain. A vertex solving engine computes one or more vertex boundary continuity constraints for each vertex included in a plurality of vertices associated with the plurality of patches. An edge solving engine computes one or more edge boundary continuity constraints for each edge included in a plurality of edges associated with the plurality of patches. A patch solving engine fits a first patch included in the plurality of patches with at least one partial NURBS surface based on the vertex boundary continuity constraints and the edge boundary continuity constraints.

Abstract: One embodiment of the invention disclosed herein provides techniques for fitting a mesh representation that includes a plurality of mesh points with a NURBS surface. A subdividing engine subdivides the mesh representation into a plurality of patches in a parametric domain. A vertex solving engine computes one or more vertex boundary continuity constraints for each vertex included in a plurality of vertices associated with the plurality of patches. An edge solving engine computes one or more edge boundary continuity constraints for each edge included in a plurality of edges associated with the plurality of patches. A patch solving engine fits a first patch included in the plurality of patches with at least one partial NURBS surface based on the vertex boundary continuity constraints and the edge boundary continuity constraints.

Abstract: One embodiment of the invention disclosed herein provides techniques for fitting a mesh representation that includes a plurality of mesh points with a NURBS surface. A subdividing engine subdivides the mesh representation into a plurality of patches in a parametric domain. A vertex solving engine computes one or more vertex boundary continuity constraints for each vertex included in a plurality of vertices associated with the plurality of patches. An edge solving engine computes one or more edge boundary continuity constraints for each edge included in a plurality of edges associated with the plurality of patches. A patch solving engine fits a first patch included in the plurality of patches with at least one partial NURBS surface based on the vertex boundary continuity constraints and the edge boundary continuity constraints.

Abstract: One embodiment of the invention disclosed herein provides techniques for fitting a mesh representation that includes a plurality of mesh points with a NURBS surface. A subdividing engine subdivides the mesh representation into a plurality of patches in a parametric domain. A vertex solving engine computes one or more vertex boundary continuity constraints for each vertex included in a plurality of vertices associated with the plurality of patches. An edge solving engine computes one or more edge boundary continuity constraints for each edge included in a plurality of edges associated with the plurality of patches. A patch solving engine fits a first patch included in the plurality of patches with at least one partial NURBS surface based on the vertex boundary continuity constraints and the edge boundary continuity constraints.

Abstract: Methods, systems, and apparatus, including computer programs encoded on a computer storage medium, for receiving data describing a model, the model describing a curve network; determining boundary continuity constraints for each edge, of each face, in the model; combining the determined boundary continuity constraints to determine respective boundary continuity for each face; and determining, using the respective boundary continuity constraints, a respective surface patch for each face.