The word symmetry originates from the Greek word sum metria (’to measure together’ ) and has two primary definitions; the harmony of the parts with each other and the whole and the condition of being well-balanced and well-proportioned. Both of these definitions imply a strong relationship between symmetry and beauty. Essentially, many objects in nature which human beings find exceptionally app...

This paper discusses four store-based concrete memory models. We characterize memory models by the class of pointers they support and whether they use numerical or symbolic offsets to address values in a block. We give the semantics of a C-like language within each of these memory models to illustrate their differences. The language we consider is a fragment of Leroy’s Clight, including arrays,...

We present a geometric approach to statistical shape analysis of closed curves in images. The basic idea is to specify a space of closed curves satisfying given constraints, and exploit the differential geometry of this space to solve optimization and inference problems. We demonstrate this approach by: (i) defining and computing statistics of observed shapes, (ii) defining and learning a param...

Statistical shape analysis has become of increasing interest to the neuroimaging community due to its potential to precisely locate morphological changes and thus potentially discriminate between healthy and pathological structures. A common shape description is based on the sampled boundary defined by a spherical harmonic SPHARM description. Shape analysis is computed by means of hypothesis te...

As computer and database technologies advance rapidly, biologists all over the world can share biologically meaningful data from images of specimens and use the data to classify the specimens taxonomically. Accurate shape analysis of a specimen from multiple views of 2D images is crucial for finding diagnostic features using geometric morphometric techniques. We propose an integrated feature se...

Gait recognition has recently attracted increasing attention, especially in vision-based human identification at a distance in visual surveillance. This paper proposes a simple but efficient gait recognition algorithm based on statistical shape analysis. For each gait sequence, a background subtraction procedure is used to segment spatial silhouettes of the walking figures from the background. ...

The unique facial appearance associated with fetal alcohol syndrome (FAS) is emphasised in diagnosis, which relies, in part, on the comparison of linear measurements of facial features to population norms. We explore the use of shape analysis as an alternative diagnostic tool for FAS. This paper implements General Procrustes Analysis to compare the FAS facial shape with the normal facial shape....

We present a system that allows new shapes to be created by blending between shapes taken from a database. We treat the shape as a composition of parts; blending is performed by recombining parts from different shapes according to constraints deduced by shape analysis. The analysis involves shape segmentation, contact analysis, and symmetry detection. The system can be used to rapidly instantia...