Only an elementary knowledge of math is needed to enjoy this entertaining compilation of brain-teasers. It includes a mixture of old and new riddles covering a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles and more. Carefully explained solutions follow each problem. 65...

Geometric algebra (GA) is a powerful new mathematical system for computational geometry. Although its origins can be traced back to Hermann Grassmann (1844), its development as a language for space–time geometry with applications to all of physics did not begin until 1966. Suddenly, in the year 2000 it was recognized that a specialized...

The typical computational approach to object understanding derives shape information from the 2D outline of the objects. For complex object structures, however, such a planar approach cannot determine object shape; the structural edges have to be encoded in terms of their full 3D spatial configuration. Computer Vision: From Surfaces...

A FEW YEARS AGO some students and I were looking at a map that pinpointed the locations of about loo cities. We asked ourselves, "Which of these cities are neighbors of each other?" We knew intuitively that some pairs of cities were neighbors and others were not; we wanted to find a formal mathematical characterization that...

I first met Peter Plesch in the late 1950s when he had established his vacuum techniques in Keele and I was embarking on my PhD. My visit to Keele was to seek advice (freely given) on handling sensitive reaction systems. I rapidly came to appreciate that Peter operated on a somewhat higher intellectual plane than many academics. All...

While books and journals of high quality have proliferated in discrete and compu- tational geometry during recent years, there has been to date no single reference work fully accessible to the nonspecialist as well as to the specialist, covering all the major aspects of both fields. The Handbook of Discrete and Computational Geometry...

By computerized tomography (CT) we mean the reconstruction of a function from its line or plane integrals, irrespective of the field where this technique is applied. In the early 1970s CT was introduced in diagnostic radiology and since then, many other applications of CT have become known, some of them preceding the application in radiology...