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Titlebook: Scale-Space Theories in Computer Vision; Second International Mads Nielsen,Peter Johansen,Joachim Weickert Conference proceedings 1999 Spri

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Numerical Solution Schemes for Continuous-Scale Morphologyion. Strangely enough this connection has not been ex- plored in the derivation of numerical schemes to solve the differential equations. In this paper the . is introduced in which an analytical function is locally fitted to the data. This function is then dilated analytically with an infinitesimal
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Scale-Space Properties of Regularization Methodsion filtering we establish continuity with respect to scale, causality in terms of a maximum/minimum principle, simplifica- tion properties by means of Lyapunov functionals and convergence to a constant steady-state. We identify nonlinear regularization with a single implicit time step of a diffusio
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0302-9743 ace‘99, held in Corfu, Greece, in September 1999..The 36 revised full papers and the 18 revised posters presented in the book were carefully reviewed and selected from 66 high-quality submissions. The book addresses all current aspects of this young and active field, in particular geometric Image fl
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Blur and Disorderpaces, one of which is the ordinary linear scale space for the image. The formalism is constructed on the basis of an operational definition of local histograms of arbitrary bin width and arbitrary support
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Applications of Locally Orderless Imagesistograms and isophotes. The aim of this work is to demonstrate the wide applicability and versatility of LOIs. We consider a range of image processing tasks, including variations of adaptive histogram equalization, several methods for noise and scratch removal, texture rendering, classification and segmentation.
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The Maximal Scale Ridge - Incorporating Scale into the Ridge Definitionnts recent work on scale selection. We also discuss the subdimensional maxima property as it relates to the maximal scale ridge, and we prove that a generalized maximal parameter ridge has the subdimensional maxima property as well.
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Riemannian Drums, Anisotropic Curve Evolution and Segmentationof the feature gradient into account. The problem of shape recovery or segmentation is formulated as the problem of finding minimum cuts of a Riemannian manifold. Approximate methods, namely anisotropic geodesic flows and solution of an eigenvalue problem are discussed.
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Morphological Scale Space and Mathematical Morphologyand contrast invariant monotone opera- tors are equivalent to the unique affine invariant curvature motion. We also prove that under very broad conditions, weighted median filters are equivalent to the Mean Curvature Motion Equation.
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Scale-Space Properties of Regularization Methodsn process. This implies that iterated regu- larization with small regularization parameters is a numerical realization of a diffusion filter. Numerical experiments in two and three space dimen- sions illustrate the scale-space behaviour of regularization methods.
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