Discrete Curvature

Theory and Applications


A colloquium on discrete curvature

Intrinsic Surface Caricaturization

Matan Sela

The challenge of turning facial images and planar shapes into caricatures has been the topic of many research projects. Here, we introduce a controllable approach for caricaturization of surfaces embedded in R3. Our technique is driven by intrinsic features of the surface and as such, remains invariant under isometric transformations. The proposed method locally modifies the geometric structure of the surface using its Gaussian curvature, and solves a corresponding Poisson equation. We demonstrate its power by applying it to a variety of triangulated meshes, such as faces, statues and animals. The resulting caricatures show unprecedented enhancement and exaggeration of the shape’s features.

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