In this paper, we present a structural and statistical approach for texture classification. It can achieve with a higher accuracy rate comparing to the Spatial Gray Level Dependence (SGLD) method and Laws' method. Our method uses the previously proposed operator, the Surface-Shape operator (SS-operator), for describing topographic structure of texture images. The SS-operator describes shape of ...

An algebraic treatment of shape-invariant potentials is discussed. By introducing an operator which reparametrizes wave functions, the shape-invariance condition can be related to a generalized Heisenberg-Weyl algebra. It is shown that this makes it possible to define a coherent state associated with the shape-invariant potentials.

In the heavy-quark limit, the decay spectrum in radiative and semileptonic inclusive B-meson decays is determined by a universal structure function, i.e. the shape function. We study the constraints on the bilocal heavy-quark operator for the shape function from the QCD equations of motion and heavy-quark symmetry, and obtain a new basis of nonlocal operators that reveal relevant soft component...

Statistical shape analysis is a tool that allows to quantify the shape variability of a population of shapes. Traditional tools to perform statistical shape analysis compute variations that reflect both shape and posture changes simultaneously. In many applications, such as ergonomic design applications, we are only interested in shape variations. With traditional tools, it is not straightforwa...

This work provides a new technique for surface oriented volumetric image analysis. The method makes no assumptions about topology, instead constructing a local neighborhood from image information, such as a segmentation or edge map, to define a surface patch. Neighborhood constructions using extrinsic and intrinsic distances are given. This representation allows one to estimate differential pro...

A simple methodology that enables exact sensitivity analysis with unstructured meshes is presented. Using automatic differentiation, derivatives of highly non-linear state equations and cost functionals can be computed up to numerical precision. But with unstructured meshes, the nodal sensitivities, which are needed to perform the differentiation with respect to shape of the computational domai...