Texture separation via a reference set

Multiscale Texture Separation

In this paper, we investigate theoretically the behavior of Meyer’s image cartoon + texture decomposition model. Our main results is a new theorem which shows that, by combining the decomposition model and a well chosen Littlewood-Paley filter, it is possible to extract almost perfectly a certain class of textures. This theorem leads us to the construction of a parameterless multiscale texture ...

Entropy Based Cartoon Texture Separation

Separating an image into cartoon and texture components comes useful in image processing applications such as image compression, image segmentation, image inpainting. Yves Meyer’s influential cartoon texture decomposition model involves deriving an energy functional by choosing appropriate spaces and functionals. Minimizers of the derived energy functional are cartoon and texture components of ...

Complement Set Reference

Complement set reference

The paper considers the phenomenon of complement anaphora and offers an analysis in the framework of optimality theoretic semantics / pragmatics. I argue that from an interpretation perspective there is a preference for reference to the so-called REFSET over all other sets associated with quantificational structures. Reference to the complement set is thus only possible when two conditions are ...

Set-Permutation-Occurrence Matrix Based Texture Segmentation

We have investigated a combination of statistical modelling and expectation maximisation for a texture based approach to the segmentation of mammographic images. Texture modelling is based on the implicit incorporation of spatial information through the introduction of a set-permutation-occurrence matrix. Statistical modelling is used for data generalisation and noise removal purposes. Expectat...