studies of genetic diversity of plant populations are very important tools for plant breeders. in this study, 110 rice genotypes, including 39 iranian local, 20 iranian improved and 51 foreign improved varieties were studied for 14 agronomic traits in the the rectangular lattice design at the rice research institute of iran (rasht). the analysis of variance showed that there were significant di...

This paper describes shape analysis of the caudate nucleus structure in a large schizophrenia study (30 controls, 60 schizophrenics). Although analysis of the caudate has not drawn the same attention as the hippocampus, it is a key basal ganglia structure shown to present differences in early development (e.g. autism) and also to present changes due to drug treatment. Left and right caudate wer...

We present a novel method that uses shape skeletons, and associated quantities, for feature-preserving smoothing of shapes in digital images. We preserve, or smooth out, features based on a saliency measure that relates feature size to local object size, both computed using the shape’s skeleton. Low-saliency convex features (cusps) are smoothed out, and low-saliency concave features (dents) are...

In shape analysis, the concept of shape spaces has always been vague, requiring a caseby-case approach for every new type of shape. In this paper, we give a general definition for an abstract space of shapes embedded in a given manifold M. This notion allows to unify the shape spaces studied so far in the literature under a single banner, and offers a rigorous framework for several possible new...

The problem of immersing a simply connected surface with a prescribed shape operator is discussed. It is shown that, aside from some special degenerate cases, such as when the shape operator can be realized by a surface with one family of principal curves being geodesic, the space of such realizations is a convex set in an affine space of dimension at most 3. The cases where this maximum dimens...

Recently we developed a periodic surface model to assist the construction of nano structures parametrically for computer-aided nano-design. In this paper, we study the properties of periodic surfaces for degree elevation and reduction. Degree elevation approaches are developed to incrementally increase shape complexities, including native, variational, and boundary constrained elevations. A gen...