Development of Mathematical Models for Application in Image Processing

Abstract : This is the final report for ARO research grant DAAG29-82-K-0077 for the period of March 1982 to September 1987. Research was conducted on several topics on image processing with special emphasis on mathematical modeling. Research topics include two-dimensional stochastic models for images-, two- dimensional spectral factorization and spectral estimation, Radon transform theory for random fields, image data compression, image analysis and shape inspection based on contour processing using spline functions, pattern inspection based on mathematical morphology, Radon transform based image processing algorithms, VLSI architectures of image processing and computer vision algorithms, and so on. A brief summary of results obtained together with a list of publications and theses is included.