A Mathematical Framework for Image Analysis

Abstract : The results reported here were derived from the research project 'A Mathematical Framework for Image Analysis' supported by the Office of Naval Research, contract N00014-88-K-0289 to Brown University. A common theme for the work reported is the use of probabilistic methods for problems in image analysis and image reconstruction. Five areas of research are described: rigid body recognition using a decision tree/combinatorial approach; nonrigid body recognition using deformable templates; the construction of two and three dimensional shape models for complex recognition and interpretation tasks; three dimensional shape reconstruction; and texture analysis.