This paper considers the task of asymmetry recti cation We start by giving various reasons why the possession of symmetry may be bene cial for designed shapes and mention how various construction methods may produce shapes which are less symmetric than desired We then consider how to make asymmetric parts symmetric a process we call asymmetry recti cation In detail we break this process into th...

In this position paper we suggest a possible metric approach to shape comparison that is based on a mathematical formalization of the concept of observer, seen as a collection of suitable operators acting on a metric space of functions. These functions represent the set of data that are accessible to the observer, while the operators describe the way the observer elaborates the data and enclose...

A surface free energy function is defined to be crystalline if its Wulff shape (the equilibrium crystal shape) is a polyhedron. All the questions that one considers for the area functional, where the surface free energy per unit area is 1 for all normal directions, can be considered for crystalline surface free energies. Such questions are interesting for both mathematical and physical reasons....

In this document, we present more formally, with the proofs, the different properties of ASD presented in the paper " Amplitude Spectrum Distance: measuring the global shape divergence of protein fragments ". 1 Definition and notations We first recall the definitions and notations used in the paper with a slight change on the indices ranging hereafter from 0 to N −1 for practical and readabilit...

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. This paper describes a combined boundary and medial shape analysis based on two different shape descriptions applied to a study of the hippocampus shape abnormaliti...

An improvement of the Active Shape procedure introduced by Cootes and Taylor is presented. The new automated brain segmenta-tion and interpretation approach incorporates a priori knowledge about neuroanatomic structures and their speciic structural relationships to provide robust segmentation and labeling. The method was trained in 8 MR brain images and tested in 19 brain images by comparison t...

Alzheimer's disease (AD) is a no-cure disease that has been frustrating the scientists for many years. Analyzing the disease has become an important but challenging research topic. The shape analysis of the sub-cortical structure of AD patients has been commonly used to understand this disease. In this paper, we assess the feasibility of using shape information on the hippocampal (HP) surfaces ...

We present an approach to function-based object recognition that reasons about the functional-ity of an object's intuitive parts. We extend the popular \recognition by parts" shape recognition framework to support \recognition by functional parts", by combining a set of functional primitives and their relations with a set of abstract volumetric shape primitives and their relations. Previous app...