Smooth convolution-based distance functions
| Autor: | Raimund Wegener, Hans Hagen, Dietmar Hietel, Andre Schmeißer |
|---|---|
| Přispěvatelé: | Publica |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Overlap–add method
Implicit function ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Topology Convolution power Computer Graphics and Computer-Aided Design Circular convolution Kernel (image processing) Modeling and Simulation Triangle mesh Applied mathematics Geometry and Topology Software Mollifier Smoothing ComputingMethodologies_COMPUTERGRAPHICS Mathematics |
| Popis: | Smoothing a triangle mesh by constructing an implicit convolution-based surface.Both the convolution kernel and the implicitization of the mesh are linearized.The straight skeleton is used to linearize the mesh.The resulting distance function is globally C2 continuous.It can be explicitly analytically evaluated. Display Omitted Smooth surface approximation is an important problem in many applications. We consider an implicit surface description which has many well known properties, such as being well suited to perform collision detection. We describe a method to smooth a triangle mesh by constructing an implicit convolution-based surface. Both the convolution kernel and the implicitization of the mesh are linearized. We employ the straight skeleton to linearize the latter. The resulting implicit function is globally C2 continuous, even for non-surface points, and can be explicitly analytically evaluated. This allows the function to be used in simulation systems requiring C2 continuity, for which we give an example from industrial simulation, in contrast to methods which only locally smooth the surface itself. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|