This paper describes the development of a Plane Segment Finder, which is able to detect threedimensional planar surfaces from input images in real-time. We propose an algorithm for detecting plane segments, that includes 1) Plane segment candidate extraction using 3D Hough Transformation from depth map information, 2) Fitting the plane segment candidates to the depth map in order to detect the ...

We present an approach based on integer programming formulations of the graph coloring problem. Our goal is to develop models that remove some symmetrical solutions obtained by color permutations. We study the problem from a polyhedral point of view and determine some families of facets of the 0/1-polytope associated with one of these integer programming formulations. The theoretical results de...

The controllability theory may at times lead to a control law as can be seen in the control theory literature. In this paper, a global control algorithm is proposed for nonlinear systems in the so-called linear-analytic form in the plane. The algorithm is motivated by a theorem by Hunt, which gives sufficient conditions for the global controllability of linearanalytic systems on a 2-dimensional...

This paper contains an algorithm, implemented in Magma, to compute singular plane algebraic curves. Two Magma functions are given: one computes linear systems of curves with non-ordinary singularities and the other computes a scheme of points such that there is a given degree plane curve with given singularities at these points. Some examples are presented so that the reader can quickly learn h...