Surface Reconstruction is the most potent aspect of 3D computer vision. It allows recapturing
or imitating of the shape of real objects. It also provides sufficient knowledge regarding the …

In recent years image analysis has become a research field of exceptional significance, due
to its relevance to real life problems in important societal and governmental sectors, such as …

Let Bn be a hyperball in Rn, n≥ 2, and denote BZn= Bn∩ Zn. Define polyhedral facet
complexity of BZn as FC (BZn)= minP {fn− 1 (P)} where P is an enclosing polyhedron for BZn …

We propose in this paper a segmentation process that can deal with noisy discrete objects.
A flexible approach considering arithmetic discrete planes with a variable width is used to …

Digital objects and digital surfaces are isothetic structures per se. Such surfaces are thus not
adapted to direct visualization with isothetic quads, or to many geometry processing …

In this paper, we present a method for segmenting 3D digital objects into discrete plane
segments. This segmentation is the first step in obtaining a polyhedization of a discrete …

We present a discrete approach for boundary extraction from 3D image data. The proposed
technique is based on the duality between the Voronoi graph computed accross the digital …

We propose in this paper a segmentation process that can deal with noisy discrete objects.
A flexible approach considering arithmetic discrete planes with a variable width is used to …

This paper deals with the widely studied problem of decomposition of digital shapes. The
Tangential Cover [7] is a powerful tool that computes the set of all maximal segments of a …

Digital geometry is a discipline dealing with geometric properties of digital objects. It
provides an adequate mathematical background for new advanced approaches and …