Machine Intelligence and Pattern Recognition, Volume 2

Preface

Optimal Parallel Algorithms for Selection, Sorting and Computing Convex Hulls

Simple On-Line Algorithms for Convex Polygons

On Geometric Algorithms that Use the Furthest-Point Voronoi Diagram

Optimal Convex Decompositions

Expected Time Analysis of Algorithms in Computational Geometry

Practical Use of Bucketing Techniques in Computational Geometry

Minimum Decompositions of Polygonal Objects

A Framework for Computational Morphology

Display of Visible Edges of a Set of Convex Polygons

An Implementation Study of Two Algorithms for the Minimum Spanning Circle Problem

Curve Similarity via Signatures

A Method for Proving Lower Bounds for Certain Geometric Problems

Movable Separability of Sets

Computational Geometry and Motion Planning

An Isothetic View of Computational Geometry

Machine Intelligence and Pattern Recognition, Volume 2: Computational Geometry focuses on the operations, processes, methodologies, and approaches involved in computational geometry, including algorithms, polygons, convex hulls, and bucketing techniques. The selection first ponders on optimal parallel algorithms for selection, sorting, and computing convex hulls, simple on-line algorithms for convex polygons, and geometric algorithms that use the furthest-point Voronoi diagram. Discussions focus on algorithms that use the furthest-point Voronoi diagram, intersection of a convex polygon and a halfplane, point insertion, convex hulls and polygons and their representations, and parallel algorithm for selection and computing convex hulls. The text then examines optimal convex decompositions, expected time analysis of algorithms in computational geometry, and practical use of bucketing techniques in computational geometry. The book takes a look at minimum decompositions of polygonal objects, framework for computational morphology, display of visible edges of a set of convex polygons, and implementation study of two algorithms for the minimum spanning circle problem. Topics include rolling algorithm, shape of point sets, and decomposition of rectilinear and simple polygons and polygons with holes. The selection is a valuable source of data for researchers interested in computational geometry.