We show that Collins' classical quantifier elimination procedure contains most of the ingredients for an efficient point location algorithm in ...
The Generalized Point Location Algorithm. Most of the ingredients entering the composition of the algorithm have already been introduced. The data structure ...
This result has theoretical bearings on a number of optimization problems posed in the literature. It also gives a method for solving multidimensional searching ...
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The point location algorithm can in fact be easily extended to handle arbitrary real algebraic points. ... This book is a reproduction of an important historical ...
In this paper, we propose two generalized proximal point algorithms with correction terms and backward inertial extrapolation to find a zero of a maximal ...
We present five applications of our result. The first is a data structure for answering point-enclosure queries among a family of semialgebraic sets in ℝ ...
An algorithm for generalized point location and its application. J. Symbolic Comput., 10:281–309, 1990. Preliminary version (August 10, 2017). To appear in ...
This paper presents an algorithm for computing the distance between a point and a convex cone in n-dimensional space. The convex cone is specified by the ...
The point location problem is a fundamental topic of computational geometry. It finds applications in areas that deal with processing geometrical data.
May 6, 2024 · This research presents a highly efficient fixed point algorithm for the computation of fixed points for a very general class of nonexpansive mappings.