This book is an introduction to the use of geometric partial differential equations (PDEs) in image processing and computer vision. This relatively new research area brings a number of new concepts into the field, providing, among other things, a very fundamental and formal approach to image processing. State-of-the-art practical results in...

The study of physical and electrodynamics'...

"The Library of Babel" is arguably Jorge Luis Borges' best known story--memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works...

Descartes' The World offers the most comprehensive vision of the nature of the world since Aristotle, and is crucial for an understanding of his later writings, in particular the Meditations and Principles of Philosophy. Above all, it provides an insight into how Descartes conceived of natural philosophy before he started to reformulate...

Image synthesis, or rendering, is a field of transformation: it changes geometry and physics into meaningful images. Because the most popular algorithms frequently change, it is increasingly important for researchers and implementors to have a basic understanding of the principles of image synthesis. Focusing on theory, Andrew...

Computer vision seeks a process that starts with a noisy, ambiguous signal from a TV camera and ends with a high-level description of discrete objects located in 3-dimensional space and identified in a human classification. In this book we address this process at several levels. We first treat the low-level image-processing issues of...

This Ph.D. dissertation presents the result of research carried out between 1985 and 1992, first at Leiden University as a scientific assistant researcher, and later at CWI (Centre for Mathematics and Computer Science), Amsterdam, as a researcher on the NFI IIICAD project, funded by NWO (Dutch Organization for Scientific Research)...

The papers in this volume were presented at the 20th Annual International Symposium on Algorithms and Computation, held December 16–18, 2009, in Hawaii, USA. In response to the Call-for-Papers, 279 papers were submitted. Each paper received at least three reviews by either Program Committee members or experts selected by Program...

The technical program covered all aspects of pattern recognition and, to name only a few areas, ranged from 3D reconstruction, to object recognition and...