We present a novel framework for characterizing signals in images using techniques from computational algebraic topology. This technique is general enough for dealing with noisy mu...
Abstract. Volume datasets have been a primary representation for scientific visualization with the advent of rendering algorithms such as marching cubes and ray casting. Nonethele...
Developable surfaces are surfaces that can be unfolded into the plane with no distortion. Although ubiquitous in our everyday surroundings, modeling them using existing tools requ...
Kenneth Rose, Alla Sheffer, Jamie Wither, Marie-Pa...
Abstract-- In this paper, we propose a new method to construct graphical representations of cortical folding patterns by computing skeletons on triangulated cortical surfaces. In o...
Yonggang Shi, Paul M. Thompson, Ivo D. Dinov, Arth...
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...