This study aims to develop an estimation method for a shape space. In this work, ‘shape space' is a nonlinear subspace formed by a class of visual shapes, in which the continuous change in shapes is naturally represented. By estimating the shape space, ...

Shapes of anatomical structures extracted from medical imaging usually contain diagnostic and therapeutic cues in clinical applications. In this paper, we propose a framework on analyzing disc shapes based on a geodesic metric in an anatomical shape ...

A novel approach based on the shape space concept is proposed to classify quasi-conformal deformations of 3D models. A new metric on the quotient space of meshes is introduced to capture changes of the curvature at each vertex of a simplicial complex ...

We develop a multi-scale model of shape based on a volumetric representation of solids in 3D space. A signed energy function (SEF) derived from the model is designed to quantify the magnitude of regional shape changes that correlate well with local ...

We develop a Riemannian model of shape of solids in 3D space to map and compare localized hippocampal atrophy in normal aging, conversion to Alzheimer's disease (AD), and progression of the disorder over a 1-year period. The study is based on magnetic ...

We construct a multi-scale model of shape of surfaces in 3D space based on the heat kernel associated with the Laplace-Beltrami operator. The model is applied to the analysis of longitudinal neuroimaging data collected by the Alzheimer's Disease ...

We develop new shape models by defining a standard shape from which we can explain shape deformation and variability. Currently, planar shapes are modelled using a function space, which is applied to data extracted from images. We regard a shape as a ...

New product development involves people with different backgrounds.Designers, engineers, and consumers all have different criteria, and these criteria interact.Early concepts evolve in this kind of collaborative context, and there is a need for dynamic ...

We propose efficiency of representation as a criterion for evaluating shape models, then apply this criterion to compare the boundary curve representation with the medial axis. We estimate the ⋮-entropy of two compact classes of curves. We then ...

We present a novel framework to treat shapes in the setting of Riemannian geometry. Shapes -- triangular meshes or more generally straight line graphs in Euclidean space -- are treated as points in a shape space. We introduce useful Riemannian metrics ...

We present a novel framework to treat shapes in the setting of Riemannian geometry. Shapes -- triangular meshes or more generally straight line graphs in Euclidean space -- are treated as points in a shape space. We introduce useful Riemannian metrics ...

Shapes provide a rich set of clues on the identity and topological properties of an object. In many imaging environments, however, the same object appears to have different shapes due to distortions such as translation, rotation, reflection, scaling, or ...

NHANES II is a nationally significant medical image database of spine x-ray images located at the National Library of Medicine. A key feature of spine disease in these images is the presence of osteoytes which are bony processes that alter the shape of ...

One of the difficulties of object recognition stems from the need to overcome the variability in object appearance caused by pose and other factors, such as illumination. The influence of these factors can be countered by learning to interpolate between ...

We briefly describe a generic statistical framework for representing the shapes of animate objects using principal component analysis and stochastic shape grammars. Such a representation scheme gives a formalism for solving the inverse problem-object ...

Molecular evolution provides an ample field for the extension of Nature's principles towards novel applications. Several examples are discussed here, among them are evolution in the test tube, nucleotide chemistry with new base pairs and new backbones, ...