We introduce a new approach to modelling gradient flows of contours and surfaces. While standard variational methods (e.g. level sets) compute local interface motion in a different...
Yuri Boykov, Vladimir Kolmogorov, Daniel Cremers, ...
Topological concepts and techniques have been broadly applied in computer graphics and geometric modeling. However, the homotopy type of a mapping between two surfaces has not bee...
Christopher Carner, Miao Jin, Xianfeng Gu, Hong Qi...
3D scanners developed over the past several decades have facilitated the reconstruction of complicated engineering parts. Typically the boundary representation of a part is recons...
Synchronization in networks with different topolo- is shown that for typical systems only three main scenarios gies is studied. We show that for a large class of oscillators there ...
Accurately representing higher-order singularities of vector fields defined on piecewise linear surfaces is a non-trivial problem. In this work, we introduce a concise yet complet...
Wan-Chiu Li, Bruno Vallet, Nicolas Ray, Bruno L...