Figure 1: Anisotropic detail sharpening: Starting with an initial model (a), global sharpening is applied to the geometry to enhance the detail (b). By adapting the direction of sharpening to the curvature in different ways, a rich space of geometry-aware sharpening filters are realized (c-e). Though the model consists of almost one million vertices and a new system is constructed and solved each time the filter is changed, our method still supports geometry processing at interactive rates. We present a general framework for performing geometry filtering through the solution of a screened Poisson equation. We show that this framework can be efficiently adapted to a changing Riemannian metric to support curvature-aware filtering and describe a parallel and streaming multigrid implementation for solving the system. We demonstrate the practicality of our approach by developing an interactive system for mesh editing that allows for exploration of a large family of curvature-guided, anisotropic filters.
Chuang and Kazhdan REF developed a framework for curvature-aware mesh filtering based on the screened Poisson equation.
Interactive and anisotropic geometry processing using the screened Poisson equation
SIGGRAPH '11
Computer Science