Ryan Schmidt
Ryan Schmidt
Computer Graphics Forum (Eurographics Proceedings)
2013
Stroke Parameterization (4:20 min.)
We present a novel algorithm for generating a planar parameterization of the region surrounding a curve embedded in a 3D surface, which we call a stroke parameterization. The technique, which extends the well-known Discrete Exponential Map [SGW06], uses the same basic geometric transformations and hence is both efficient and easy-to-implement. We also handle self-intersecting curves, for which a 1-1 map between the original surface and the plane is not possible. Stroke parameterizations provide an ideal coordinate space for solving a variety of computer graphics problems. We present applications including tiling texture and displacement along 3D brush strokes, procedural texturing along 3D paths, and user-guided crease extraction.
Loading...
Computer representations of geometry are at the core of most problems in digital design and fabrication. In the context of our tools research we explore novel approaches to geometry processing.