Transfer and Invariants of Surfaces of Revolution

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Diploma Thesis from the year 1993 in the subject Computer Science - Applied, grade: 1, Hamburg University of Technology, language: English, abstract: A number of papers in the Computer Vision and Pattern Recognitionliterature have demonstrated that invariants, or equivalentlystructure modulo a 3D linear transformation, are sufficient for objectrecognition. The final stage in the recognition process isverification, where an outline is transferred from an acquisitionimage of the object to the target image.For the most part recognition based on invariants has concentrated onplanar objects, though some 3D invariants have been measured fromsingle and multiple images for polyhedra, point sets, surfaces ofrevolution and algebraic surfaces. The work so far on surfaces ofrevolution has only exploited isolated points on the outline (such asbitangents), and has not addressed transfer or verification.This thesis, for the first time, extends the transfer and extractionof invariants to surfaces of revolution using the entire outline.Given a single view of the surface, it is possible to obtain theprojection in any other given view, given a minimal number of pointsin the target image. In particular it is is possible to reconstructthe generating curve, and thereby a rich set of invariants.