Matias Korman
Tohoku University

Monday, April 23 at 3:00 PM

Abstract

We study the problem of extending the Euclidean line segments to the integer lattice. We want a method that, for any two points $p,q \in \mathbb{Z}^d$, constructs a digital segment $dig(p,q)$ as a set of points in the lattice. Any construction that satisfies the natural extension of the Euclidean axioms to $\mathbb{Z}^d$ is called a {\em consistent digital segment} system (or CDS for short). Our aim is to find a CDS that closely resembles the Euclidean segments. In this talk we will introduce the latest results in the topic, making a special emphasis in the remaining open problems.

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Categories: Seminar