Curves and Surfaces

Curves and Surfaces
Author: Pierre-Jean Laurent
Publisher: Academic Press
Total Pages: 535
Release: 2014-05-12
Genre: Mathematics
ISBN: 1483263878

Curves and Surfaces provides information pertinent to the fundamental aspects of approximation theory with emphasis on approximation of images, surface compression, wavelets, and tomography. This book covers a variety of topics, including error estimates for multiquadratic interpolation, spline manifolds, and vector spline approximation. Organized into 77 chapters, this book begins with an overview of the method, based on a local Taylor expansion of the final curve, for computing the parameter values. This text then presents a vector approximation based on general spline function theory. Other chapters consider a nonparametric technique for estimating under random censorship the amplitude of a change point in change point hazard models. This book discusses as well the algorithm for ray tracing rational parametric surfaces based on inversion and implicitization. The final chapter deals with the results concerning the norm of the interpolation operator and error estimates for a square domain. This book is a valuable resource for mathematicians.

Studies In Pattern Recognition: A Memorial To The Late Professor King-sun Fu

Studies In Pattern Recognition: A Memorial To The Late Professor King-sun Fu
Author: Herbert Freeman
Publisher: World Scientific
Total Pages: 232
Release: 1997-02-03
Genre: Computers
ISBN: 9814498386

More than ten years have passed since the untimely death of King-Sun Fu, one of the great pioneers in the field of pattern recognition. It was he, more than any other single individual, who nurtured the field during its formative years, and set the tone and tempo for others to follow. This book is dedicated to his memory.This book contains 11 chapters by authors who knew King-Sun Fu and in varying degrees interacted with him. The articles span the field of pattern recognition in its current state, and cover such diverse topics as neural nets, covariance propagation, genetic selection, shape description, characteristic views for 3D modeling, face recognition, speech recognition, and machine translation. In tone they vary from the highly theoretical to the applied. Their presentation here is a testimonial, by his former colleagues and friends, to the pioneer who did so much to bring pattern recognition to its position as a recognized discipline world-wide.

Theory & Applications of Image Analysis

Theory & Applications of Image Analysis
Author: P. Johansen
Publisher: World Scientific
Total Pages: 368
Release: 1992
Genre: Technology & Engineering
ISBN: 9789810209452

This book contains 31 papers carefully selected from among those presented at the 7th Scandinavian Conference on Image Analysis. The authors have extended their papers to give a more in-depth discussion of the theory, or of the experimental validation of the method they have proposed. The topics covered are current and wide-ranging and include both 2D- and 3D-vision, and low to high level vision.

Algorithms in Algebraic Geometry and Applications

Algorithms in Algebraic Geometry and Applications
Author: Laureano Gonzalez-Vega
Publisher: Birkhäuser
Total Pages: 407
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034891040

The present volume contains a selection of refereed papers from the MEGA-94 symposium held in Santander, Spain, in April 1994. They cover recent developments in the theory and practice of computation in algebraic geometry and present new applications in science and engineering, particularly computer vision and theory of robotics. The volume will be of interest to researchers working in the areas of computer algebra and symbolic computation as well as to mathematicians and computer scientists interested in gaining access to these topics.

Shape, Contour and Grouping in Computer Vision

Shape, Contour and Grouping in Computer Vision
Author: David A. Forsyth
Publisher: Springer
Total Pages: 350
Release: 2003-07-31
Genre: Computers
ISBN: 3540468056

Computer vision has been successful in several important applications recently. Vision techniques can now be used to build very good models of buildings from pictures quickly and easily, to overlay operation planning data on a neuros- geon’s view of a patient, and to recognise some of the gestures a user makes to a computer. Object recognition remains a very di cult problem, however. The key questions to understand in recognition seem to be: (1) how objects should be represented and (2) how to manage the line of reasoning that stretches from image data to object identity. An important part of the process of recognition { perhaps, almost all of it { involves assembling bits of image information into helpful groups. There is a wide variety of possible criteria by which these groups could be established { a set of edge points that has a symmetry could be one useful group; others might be a collection of pixels shaded in a particular way, or a set of pixels with coherent colour or texture. Discussing this process of grouping requires a detailed understanding of the relationship between what is seen in the image and what is actually out there in the world.