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Издательство MIT Press, 1987, -232 pp.We count it a great privilege to be working in a field as exciting as Vision. On the one hand there is all the satisfaction of making things that work - of specifying, in mathematical terms, processes that handle visual information and then using computers to bring that mathematics to life. On the other hand there is a sense of awe (when time permits) at the sheer intricacy of creation. Of course it is the Biological scientists who are right in there; but computational studies, in seeking to define Visual processes in mathematical language, have made it clear just how intrinsically complex must be the chain of events that constitutes seeing something. Our appreciation of Vision owes much to encouragement received from other research workers. Very special mention must be made of John Mayhew and John Frisby who have been a continual source of enthusiasm and insight. Bernard Buxton and Michael Brady have made many valuable comments on our work. We are grateful for helpful discussions with Alan Yuille, John Porril, Christopher Longuet-Higgins, John Canny and Chris Taylor. We derived much benefit from the software expertise of Gavin Brelstaff. Stephen Pollard and Chris Brown supplied many digitised images and Olivier Faugeras supplied laser rangefinder data. For diligent proof-reading we thank Fiona Blake, Michael Brady, Gavin Brelstaff, Robert Fisher, John Hallam, Constantinos Marinos and David Willshaw. Finally, we gratefully acknowledge the support of the Science and Engineering Research Council, the Royal Society of London (for their IBM Research Fellowship for AB) and the University of Edinburgh.Modelling Piecewise Continuity Applications of Piecewise Continuous Reconstruction Introduction to Weak Continuity Constraints Properties of the Weak String and Membrane Properties of the Weak Rod and Plate The Discrete Problem The Graduated Non-Convexity Algorithm A Energy Calculations for the String and Membrane B Noise Performance of the Weak Elastic String C Energy Calculations for the Rod and Plate D Establishing Convexity E Analysis of the GNC Algorithm
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