We analyze the properties of the norm of the commutator of two Hermitian matrices, showing that asymptotically it behaves like a metric, and establish its relation to joint approximate diagonalization of matrices, showing that almost-commuting matrices are almost jointly diagonalizable, and vice versa. We show an application of our results in the field of 3D shape analysis.

In this paper is presented a novel image processing tool for the extraction of geometric information in otolith images. It relies on the reconstruction of individual otolith shape histories from otolith images. Based on the proposed non-parametric level-set representation of otolith shape history, applications to the extraction of growth axes and ring structures in otolith images are first cons...

An analog VLSI circuit used to model spectral shape analysis in the central auditory system is presented. Like the receptive fields of visual cortical neurons, the spectral response fields (SRFs) of neurons in the mammalian primary auditory cortex (AI) resemble localized sinusoids of various phases (i.e., symmetry) and scale (i.e., spectral bandwidth). We use a single circuit building block to ...

We present an automated veriication technique for veriica-tion of concurrent linked lists with integer variables. We show that using our technique one can automatically verify invariants that relate (unbounded) integer variables and heap variables such as head 6 = null ! numItems > 0. The presented technique extends our previous work on composite symbolic representations with shape analysis. Th...

| Morphological size distributions and densities are frequently used as descriptors of granularity or texture within an image. They have been successfully employed in a number of image processing and analysis tasks, including shape analysis, multiscale shape representation, texture classiication, and noise ltering. In most cases however it is not possible to analytically compute these quantitie...

A new method for shape analysis of X-ray images of human hand bones for estimation of bone maturity is proposed. To handle low contrast and non-uniformity of X-ray images, we design stable pre-processings to enhance images. The contour extraction method is based on local force control of a connected contour for deforming so as to fit it to an outline of a piece of bone. As a result with real im...

The hippocampus is a prominent subcortical feature of interest in many neuroscience studies. Its subtle morphological changes often predicate illnesses, including Alzheimer’s, schizophrenia or epilepsy. The precise location of structural differences requires a reliable correspondence between shapes across a population. In this paper, we propose an automated method for groupwise hippocampal shap...

This paper is devoted to the problem of the hardware implementation of selected shape description algorithms. The properties and complexity of particular methods are discussed in order to find those that are most applicable to a direct hardware implementation. Thus, the complexity of both the approaches and the processed data should be minimised. In this paper the properties of the Roundness, X...

This paper presents a framework for the geometric interpretation of a single polarization image taken of specular reflecting objects. The task of recovering 3D shape information of specular objects from intensity images is a difficult if not impossible one, as no intensity based features are available. Polarization analysis provides additional features to overcome the problem. In particular the...

Shape comparisons of two groups of objects often have two goals: to create a classifier to separate the groups and to provide information that shows differences between classes. We examine issues that are important for shape analysis in a study comparing schizophrenic patients to normal subjects. For this study, non-linear classifiers provide large accuracy gains over linear ones. Using volume ...