International audienceDigital geometry is very different from Euclidian geometry in many ways and the intersection of two digital lines or planes is often used to illustrate those differences. Nevertheless, while digital lines and planes are widely studied in many areas, very few works deal with the intersection of such objects. In this paper, we investigate the geometrical and arithmetical properties of those objects. More precisely, we give some new results about the connectivity, periodicity and minimal parameters of the intersection of two digital lines or planes
The current definition of 3D digital lines, which uses the 2D digital lines of closest integer point...
In this paper we examine concurrency relations between planes whose position is not precisely known....
The aim of this paper is to give an introduction into the field of digital topology. This topic of r...
International audienceDigital geometry is very different from Euclidian geometry in many ways and th...
International audienceDigital geometry is very different from Euclidean geometry in many ways and th...
International audienceThe purpose of this paper is to define the notion of "real" intersection betwe...
International audienceThe purpose of this paper is to define the notion of "real" intersection betwe...
AbstractIn this paper, we prove a new result of digital topology which states that the digital funda...
We discuss certain ternary relations, called plain, and show that each of them induces a connectedne...
We discuss certain ternary relations, called plain, and show that each of them induces a connectedne...
We discuss certain ternary relations, called plain, and show that each of them induces a connectedne...
We discuss certain ternary relations, called plain, and show that each of them induces a connectedne...
Digital planarity is defined by digitizing Euclidean planes in the three-dimensional digital space o...
We propose in this paper a new approach to three-dimensional digital lines (3DDLs) based on the stud...
In this paper we examine concurrency relations between planes whose position is not precisely known....
The current definition of 3D digital lines, which uses the 2D digital lines of closest integer point...
In this paper we examine concurrency relations between planes whose position is not precisely known....
The aim of this paper is to give an introduction into the field of digital topology. This topic of r...
International audienceDigital geometry is very different from Euclidian geometry in many ways and th...
International audienceDigital geometry is very different from Euclidean geometry in many ways and th...
International audienceThe purpose of this paper is to define the notion of "real" intersection betwe...
International audienceThe purpose of this paper is to define the notion of "real" intersection betwe...
AbstractIn this paper, we prove a new result of digital topology which states that the digital funda...
We discuss certain ternary relations, called plain, and show that each of them induces a connectedne...
We discuss certain ternary relations, called plain, and show that each of them induces a connectedne...
We discuss certain ternary relations, called plain, and show that each of them induces a connectedne...
We discuss certain ternary relations, called plain, and show that each of them induces a connectedne...
Digital planarity is defined by digitizing Euclidean planes in the three-dimensional digital space o...
We propose in this paper a new approach to three-dimensional digital lines (3DDLs) based on the stud...
In this paper we examine concurrency relations between planes whose position is not precisely known....
The current definition of 3D digital lines, which uses the 2D digital lines of closest integer point...
In this paper we examine concurrency relations between planes whose position is not precisely known....
The aim of this paper is to give an introduction into the field of digital topology. This topic of r...