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Computer vision seeks a process that starts with a noisy,ambiguous signal from a TV camera and ends with a high-leveldescription of discrete objects located in 3-dimensionalspace and identified in a human classification.This book addresses the process at several levels. First tobe treated are the low-level image-processing issues ofnoise removaland smoothing while preserving important linesand singularities in an image. At a slightly higher level, arobust contour tracing algorithm is described that producesa cartoon of the important lines in the image. Thirdis thehigh-level task of reconstructing the geometry of objects inthe scene.The book has two aims: to give the computer vision communitya new approach to early visual processing, in the form ofimage segmentation that incorporates occlusion at a lowlevel, and to introduce real computer algorithms that do abetter job than what most vision programmers use currently.The algorithms are:- a nonlinear filter that reduces noise and enhances edges,- an edge detector that also finds corners and producessmoothed contours rather than bitmaps,- an algorithm for filling gaps in contours.
List of contents
Overview.- Filtering for occlusion detection.- Finding contours and junctions.- Continuations.- Finding the 2.1D sketch.- Conclusion.
About the author
David Mumford was born on June 11, 1937 in England and has been associated with Harvard University continuously from entering as freshman to his present position of Higgins Professor of Mathematics.§Mumford worked in the fields of Algebraic Gemetry in the 60's and 70's, concentrating especially on the theory of moduli spaces: spaces which classify all objects of some type, such as all curves of a given genus or all vector bundles on a fixed curve of given rank and degree. Mumford was awarded the Fields Medal in 1974 for his work on moduli spaces and algebraic surfaces. He is presently working on the mathematics of pattern recognition and artificial intelligence.
