- publication
- EUROGRAPHICS/ACM SIGGRAPH Symposium on Geometry Processing 2004
- authors
- Olga Sorkine-Hornung, Daniel Cohen-Or, Yaron Lipman, Marc Alexa, Christian Roessl, Hans-Peter Seidel
- award
- Test of Time Award, EUROGRAPHICS Symposium on Geometry Processing 2024

### abstract

Surface editing operations commonly require geometric details of the surface to be preserved as much as possible. We argue that geometric detail is an intrinsic property of a surface and that, consequently, surface editing is best performed by operating over an intrinsic surface representation. We provide such a representation of a surface, based on the Laplacian of the mesh, by encoding each vertex relative to its neighborhood. The Laplacian of the mesh is enhanced to be invariant to locally linearized rigid transformations and scaling. Based on this Laplacian representation, we develop useful editing operations: interactive free-form deformation in a region of interest based on the transformation of a handle, transfer and mixing of geometric details between two surfaces, and transplanting of a partial surface mesh onto another surface. The main computation involved in all operations is the solution of a sparse linear system, which can be done at interactive rates. We demonstrate the effectiveness of our approach in several examples, showing that the editing operations change the shape while respecting the structural geometric detail.

### downloads

- Paper (SGP 2004, official version available at http://diglib.eg.org/)
- BibTex entry
- Video (examples of editing sessions)
- Talk slides
- MATLAB 2D demo

### software

### example of an editing session

### sample results

### acknowledgments

The Bunny, Dragon, Armadillo and Feline models are courtesy of Stanford University and the Octopus is courtesy of Mark Pauly. This work was supported in part by the German Israel Foundation (GIF) and by grants from the Israel Science Foundation (founded by the Israel Academy of Sciences and Humanities) and the Israeli Ministry of Science.