This paper is devoted to connections between trace monoids and cubical sets. We prove that the category of trace monoids is isomorphic to the category of generalized tori and it is a reflective subcategory of the category of cubical sets. Adjoint functors between the categories of cubical sets and trace monoid actions are constructed. These functors carry independence preserving morphisms in th...

The paper presents a variational framework to compute first and second order statistics of an ensemble of shapes undergoing deformations. Geometrically “meaningful” correspondence between shapes is established via a kernel descriptor that characterizes local shape properties. Such a descriptor allows retaining geometric features such as high-curvature structures in the average shape, unlike con...

A novel approach, radial basis function (RBF) mixed with domain decomposition method (DDM) based on Galerkin finite element method (FEM) has been introduced in our previous work. The proposed method divides the computational domain into a series of rectangular sub-domains, and each sub-domain is taken as a separate calculation area to get the solution expression and shape function by using the ...

Modeling of the occlusal surface of teeth is an important problem in computer-aided design of dental restorations. The designed shape must t the existing individual anatomy of the patient. Also, the design process must be fast to be practical in clinical applications. In this paper we present a technique for automatic adaptation of the oc-clusal surface for the restoration of teeth based on geo...

The paper presents a variational framework to compute first and second order statistics of an ensemble of shapes undergoing deformations. Geometrically “meaningful” correspondence between shapes is established via a kernel descriptor that characterizes local shape properties. Such a descriptor allows retaining geometric features such as high-curvature structures in the average shape, unlike con...

Since the aggregate is 80 % of the total volume of the concrete and mortar, the characteristic properties of the aggregate affect the fresh and hardened properties of the concrete and mortar [1]. The characteristic properties of the aggregate such as the shape, the size and structure affect the properties of the fresh concrete and the mortar like workability, settlement, pumping and segregation...

Since the aggregate is 80 % of the total volume of the concrete and mortar, the characteristic properties of the aggregate affect the fresh and hardened properties of the concrete and mortar [1]. The characteristic properties of the aggregate such as the shape, the size and structure affect the properties of the fresh concrete and the mortar like workability, settlement, pumping and segregation...

We introduce a new notion of directed homology for cubical sets with connections and transpositions. We show that it respects directed homotopy and is functorial, and that it reduces to the usual homology in case of reversible cubical sets. However it has an undesired cancellation property, which we propose to remedy by refining the dihomology relation.

We study metric conditions implied by a combinatorial curvature condition on a finite cubical 2-complex. Our main result is that any finite, simply connected, cubical 2-complex with the 8-property, admits a strongly convex metric. 2000 Mathematics Subject Classification: 53C21.

This paper studies logarithmic depreciation which is similar to conventional geometric depreciation, except that capital and investment are replaced by their logarithms. We provide empirical theoretical evidence can account for aggregate better than more complicated methods have additional parameters. document consumption decisions in the United States other countries appear be made under erron...