On the classical discrete grid, the analysis of digital straight lines (DSL for short) has been
intensively studied for nearly half a century. In this article, we are interested in a discrete …

Invertible Euclidean reconstruction methods without patches for 2D and 3D discrete curves
are proposed. From a discrete 4-connected curve in 2D, or 6-connected curve in 3D, the …

Removal and contraction are basic operations for several methods conceived in order to
handle irregular image pyramids, for multi-level image analysis for instance. We give the …

This paper presents a theoretical generalization of the circumcenter as the intersection of
generalized perpendicular bisectors. We define generalized bisectors between two regions …

In this paper we present a new, simple, method for creating digital 3D surfaces of revolution.
One can choose the topology of the surface that may have 0, 1 or no tunnels. The definition …

In this paper we present a simple method to create general 3D digital surfaces of revolution
based on a 2D implicit curve of revolution (therefore not limited to a circle) and a hand …

This paper present an adaptive pixel resizing method based on a parameter space
approach. The pixel resizing is designed for both multiscale recognition and reconstruction …

In this paper, we study the relationship between Euclidean and discrete space. We study
discrete operations based on Euclidean functions: discrete smooth scaling and discrete …

This paper presents a generalization of the notion of circumcenter as the intersection of
perpendicular bisectors. We define Generalized Perpendicular Bisectors between two …

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 …