Invariant Normal Models

Kawachi’s Invariant for Normal Surface Singularities

We study a useful numerical invariant of normal surface singularities, introduced recently by T. Kawachi. Using this invariant, we give a quick proof of the (well-known) fact that all log-canonical surface singularities are either elliptic Gorenstein or rational (without assuming a priori that they are Q -Gorenstein). In §2 we prove effective results (stated in terms of Kawachi’s invariant) reg...

On Invariant Subspaces of Normal Operators1

Non-linear normal modes and invariant manifolds

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Affine Invariant Total Variation Models

This report relates to the field of image restorations and features extracting from noisy and blurred images. Since their introduction in a classical paper by Rudin, Osher and Fatemi [2], Total Variation (TV) minimising models have become one of the most popular and successful tools for image restorations. Whilst invariance under affine transformations is very important for many image processin...

Form-invariant bivariate weighted models

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