We give a tutorial overview of several geometric methods for dimension reduction. We divide the methods into projective methods and methods that model the manifold on which the da...
This paper introduces a method to extract `Shape-DNA', a numerical fingerprint or signature, of any 2d or 3d manifold (surface or solid) by taking the eigenvalues (i.e. the s...
Martin Reuter, Franz-Erich Wolter, Niklas Peinecke
Recently, there has been a flurry of research on face recognition based on multiple images or shots from either a video sequence or an image set. This paper is also such an attemp...
We present a new surface representation scheme based on a manifold structure and displacement functions. Given a geometric model represented as a point cloud, we construct a domain...
Given a smoothly embedded 2-manifold in ¤¦¥ , we define the elevation of a point as the height difference to a canonically defined second point on the same manifold. Our de...
Pankaj K. Agarwal, Herbert Edelsbrunner, John Hare...