digital geometry

We present a new plane-probing algorithm, i.e., an algorithm that computes the normal vector of a digital plane from a starting point …

This article presents a novel discretization of the Laplace–Beltrami operator on digital surfaces.We adapt an existing convolution …

Voxel based modeling is an attractive way to represent complex multi-material objects. Multi-labeled voxel models are also ubiquitous …

Digital objects and digital surfaces are isothetic structures per se. Such surfaces are thus not adapted to direct visualization with …

Many problems in image analysis, digital processing and shape optimization can be expressed as variational problems involving the …

We present, in details, a generic tool to estimate differential geometric quantities on digital shapes, which are subsets of …

Digital planes are sets of integer points located between two parallel planes. We present a new algorithm that computes the normal …

Keynote speaker at DGCI 2016, Nantes.

A digital plane is the set of integer points located between to parallel planes. We solve the following problem: how to compute the …