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This volume contains the proceedings of ICAOS '96 the 12th International Conference on Analysis and Optimization of Systems. This conference was co-organized by INRIA and the CEREMADE and was dedicated to Images, Wavelets and PDE's. The aim of the conference was to discuss the impact on image analysis of recent mathematical developments in multiscale analysis, partial differential equations, variational methods and so on. ICAOS '96 provided a forum for image processing researchers and mathematicians to interact and to exchange their technical knowledge and experience, theoretical or practical, in this emerging and exciting domain. The selected papers have been organized according to the following sessions, each session corresponding to a section of the book: 1. Active Contours; 2. Image Enhancement and Restoration, Scale-Spaces; 3. Wavelets; 4. Image Segmentation; 5. Image Restoration; 6. Coding; 7. Applications.
List of contents
Images and PDE's.- Scale-space research at Utrecht University.- Local adaptative filters for image restauration and enhancement.- 3D active contours.- Regularization properties for minimal geodesics of a potential energy.- Multi-resolution algorithms for active contour models.- On projective plane curve evolution.- Image processing of meteorological images with implicit functions.- An algorithm for generating motion by mean curvature.- A numerical model for large deformation on meteorological images.- Understanding the structure of diffusive scale-spaces.- Nonlinear diffusion scale-spaces: From the continuous to the discrete setting.- Nonlinear diffusions and hyperbolic smoothing for edge enhancement.- Convergence of iterated affine and morphological filters by nonlinear semi-group theory.- Anisotropic diffusion of multivalued images.- Creating and comparing wavelets.- Signal analysis and synthesis with 1-D quasi-continuous wavelet transform.- Adaptive wavelet collocation for nonlinear BVPs.- Multiwavelets and two-scale similarity transform.- Texture segmentation by variational methods.- Affine invariant gradient flows.- Convex variational segmentation of multi-channel images.- Segmentation d'images texturées par l'analyse anisotropique basée sur la transformation de Random.- Adaptative image decompositions in a wavelets dictionary.- Coiflets for range image segmentation.- A nonlinear primal-dual method for total variation-based image restoration.- A new variational technique for Shape from Shading.- Generalized convergence theorem for wavelet approximate solutions of elliptic partial differential equations.- Regularization methods for the image restoration of electromagnetic and optical complex systems.- Biorthogonal brushlet bases for directional image compression.- Morphological interpolation for image coding.- Efficient representations with quantized matching pursuit.- Non uniform multiresolution method for optical flow computation.- Appariement de Trajectoires Issues d'un Système de Vision Stéréoscopique en Mouvement de Convergence.- Analyse Microlocale et Tomographie Géométrique.- An efficient wavelet-based facial edge detection approach in model-based coding.- A Kanizsa programme.
