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...

The generative surface reconstruction problem can be stated like this: Given a finite collection of 3D shapes, create a small set of functions that can be combined to generate the given shapes procedurally. We propose generative fact labeling (GFL) as an attempt to organize the iterative process of shape analysis and shape synthesis in a systematic way. We present our results for the reconstruc...

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 ...

Ї R is a real time visual surveillance system for detecting and tracking multiple people and monitoring their activities in an outdoor environment. It operates on monocular gray-scale video imagery, or on video imagery from an infrared camera. ‡ R employs a combination of shape analysis and tracking to locate people and their parts (head, hands, feet, torso) and to create models of people's ap...

We introduce a systematic approach to designing summarizing abstract numeric domains from existing numeric domains. Summarizing domains use summary dimensions to represent potentially unbounded collections of numeric objects. Such domains are of benefit to analyses that verify properties of systems with an unbounded number of numeric objects, such as shape analysis, or systems in which the numb...

Shape analysis of simple closed plane curves is an important subject including many chances of application to industry, especially when the curves are apparent contours of objects projected into the plane. A notion of panorama view is introduced, with presentations of some ideas of its application to the subject.

In this paper we develop the theory of parametric polynomial regression in Riemannian manifolds and Lie groups. We show application of Riemannian polynomial regression to shape analysis in Kendall shape space. Results are presented, showing the power of polynomial regression on the classic rat skull growth data of Bookstein as well as the analysis of the shape changes associated with aging of t...

We present a new method for morphing 2D and 3D objects. In particular we focus on the problem of smooth interpolation on a shape manifold. The proposed method takes advantage of two recent works on 2D and 3D shape analysis to compute elastic geodesics between any two arbitrary shapes and interpolations on a Riemannian manifold. Given a finite set of frames of the same (2D or 3D) object from a v...

This paper introduces the concept of discrete multidimensional size function, a mathematical tool studying the so-called size graphs. These graphs constitute an ingredient of Size Theory, a geometrical/topological approach to shape analysis and comparison. A global method for reducing size graphs is presented, together with a theorem stating that size graphs reduced in such a way preserve all t...