Hands
A Pattern Theoretic Study of Biological Shapes
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Article
Chapter and Conference Paper
Many combinatorial optimization problems can be described as finding the global minimum of a certain function U(•) over a finite state space S, say, {l, 2,…, N}. A commonly used approach is the gradient method...
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The experiment has shown that the global shape model has enough descriptive power for the analysis of the real pictures we studied. For picture ensembles of the type studied the model will not need any essential ...
Book
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Is it possible to mechanize human intuitive understanding of biological pictures that typically exhibit a lot of variability but also possess characteristic structure?
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The task of restoring a noisy image is facilitated by having models and algorithms already available for synthesis. When we developed the code it was both possible and convenient to use the same code for both ...
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The synthesis experiments have given us some insight in how the global shape models function and how they are influenced by their parameters. Synthesis experiments should not, of course, be considered as suffi...
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We shall now apply the random shape model to hand pictures and start with simulation experiments. This will help us to get an intuitive understanding of the model and the prior measure it represents, what is t...
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The prior induced by the Gibbs density (1.6) cannot be simulated directly for a general acceptor function and for n-values of practical interest. We shall therefore apply stochastic relaxation that has earlier be...
Chapter and Conference Paper
Several methods for acoustic-phonetic decoding are reviewed. Emphasis is placed on the need for mathematical methods for speech recognition. Several examples of statistical methods are described. The author pr...
Article
Article
An explicit solution of the differential equation for Weinberg’s class of chiral Lagrangians, with arbitraryf(π 2), is given here. On the contrary, for any given symmetry-breaking term the explicit solution of th...
Article
The explicit forms of the kernels appearing in the elastic unitarity condition are derived for the Nakanishi representation of scattering amplitude.