We consider the problem of reconstructing a compact 3manifold (with boundary) embedded in R3 from its crosssections with a given set of cutting planes having arbitrary orientation...
We present a new approach to reconstruct the shape of a 3D object or scene from a set of calibrated images. The central idea of our method is to combine the topological flexibilit...
The presented approach to discretization of functionally defined heterogeneous objects is oriented towards applications associated with numerical simulation procedures, for exampl...
Elena Kartasheva, Valery Adzhiev, Alexander A. Pas...
This paper presents a new method for constructing compact statistical point-based models of ensembles of similar shapes that does not rely on any specific surface parameterization....
Joshua E. Cates, P. Thomas Fletcher, Martin Andrea...
Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully e...
Samuel Peltier, Sylvie Alayrangues, Laurent Fuchs,...