We develop a computational model of shape that extends existing Riemannian models of shape of curves to multidimensional objects of general topological type. We construct shape sp...
Xiuwen Liu, Yonggang Shi, Ivo D. Dinov, Washington...
icians or philosophers use abstract symbols to derive formulas or form proofs. Indeed, these sketches are structural geometric proofs, consistent with Plato's supposition that...
Multiresolution analysis has been proposed as a basic tool supporting compression, progressive transmission, and level-of-detail control of complex meshes in a unified and theoret...
Andrew Certain, Jovan Popovic, Tony DeRose, Tom Du...
We present an optimal-time algorithm for computing (an implicit representation of) the shortest-path map from a fixed source s on the surface of a convex polytope P in three dime...
This paper presents a Computer-Aided Design (CAD) platform for designers to navigate and construct 3D model intuitively through Tangible User Interfaces (TUIs). We suggest that 3D...