Abstract. We give an overview of the main ideas and tools that have been employed in uncertain geometry. We show how several recognition problems in computer vision can be translat...
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,...
A new approach to ray tracing implicit surfaces based on recursive space subdivision is presented in this paper. Interval arithmetic, already used to calculate intersections in ray...
Topology is a fundamental property of shapes in pictures. Since the input for any image analysis algorithm is a digital image, which does not need to have the same topological char...
Abstract. Reversible polyhedral modelling of discrete objects is an important issue to handle those objects. We propose a new algorithm to compute a polygonal face from a discrete ...
Abstract. The purpose of this paper is to present a technique to create a global map of a robot’s surrounding by converting the raw data acquired from a scanning sensor to a comp...
In this article we propose an original method for discrete surface smoothing. This method is based on a statistical estimation of the discrete tangent plane on the voxels of the di...
We consider simple cube-curves in the orthogonal 3D grid of cells. The union of all cells contained in such a curve (also called the tube of this curve) is a polyhedrally bounded s...