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Erosion simulation is an important problem in the field of computer graphics. The most prominent erosion processes in nature are weathering and hydraulic erosion. Many methods address these problems but they are mostly based on height fields or volumetric data. Height fields do not allow for the simulation of complex fully 3D scenes while the volumetric data have high memory requirements. We propose a unified approach for weathering and hydraulic erosion working directly on triangular meshes which simplifies the use of the method in wide range of scenarios. We take into account the observation that the speed of erosion in nature is affected by the local shape of the eroded object. We use estimation of mean curvature to drive the speed of erosion, which results in visually plausible simulation of erosion processes. We demonstrate the results of the method on both artificial 3D models and on real data.

A Unified Curvature-driven Approach for Weathering and Hydraulic Erosion Simulation on Triangular Meshes