In this paper, we propose a new scheme for the geometry coding of three-dimensional (3-D) mesh models using a dual graph. In order to compress the mesh geometry information, we generate a fixed spectral basis using the dual graph derived from the mesh topology. After we partition a 3-D mesh model into several independent submeshes to reduce coding complexity, each submesh geometry is projected ...

We prove dimension formulas for the cotangent spaces T 1 and T 2 for a class of rational surface singularities by calculating a correction term in the general dimension formulas. We get that it is zero if the dual graph of the rational surface singularity X does not contain a particular type of configurations, and this generalizes a result of Theo de Jong stating that the correction term c(X) i...

The most important results on C⊥ t (n, q), the dual code of points and t-spaces in PG(n, q) are presented. We focus on the minimum distance and on the small weight codewords. In the third section, a recent result about the classification of the small weight codewords in C⊥ n−1(n, q), q even, is given.

one of the common methods to cure unsaturated polyester resins is to use dual initiators. in order to produce an appropriate composite, it is necessary to know the effect of dual initiators on curing behavior. in this paper the effect of benzoyl peroxide, bpo, and tertiary butyl perbenzoate, tbpb, and their mixtures on thermal curing of an unsaturated polyester resin have been investigated. bpo...

In our article we explore the developmental paradox of false belief understanding. This paradox follows from the claim that young infants already have an ‘implicit’ notion of false belief, despite the fact that they consistently fail tests assessing ‘explicit’ forms of false belief understanding. First, we argue that recent dual-system proposals to solve this paradox are unsatisfactory because ...

In this paper,  pseudo-amenability and pseudo-Connes amenability of weighted semigroup algebra $ell^1(S,omega)$ are studied. It is proved that pseudo-Connes amenability and pseudo-amenability of weighted group algebra $ell^1(G,omega)$ are the same. Examples are given to show that the class of $sigma$-Connes amenable dual Banach algebras is larger than that of Connes amenable dual Banach algebras.

Concepts of kinds of things (e.g. DOG), have the dual function of specifying how to think about indefinitely many things as well as providing the means for thinking about a single abstract kind which is constituted by indefinitely many instances. In this talk, I sketch a theory of conceptual representation that places this dual function of concepts at its core. The theory is shown to provide a ...

Motivated by claims to ‘bridge the representational gap between image and model features’ and by the growing importance of topological properties we discuss several extensions to dual graph pyramids: structural simplification should preserve important topological properties and content abstraction could be guided by an external knowledge base. We review multilevel graph hierarchies under the sp...

The module of splines on a polyhedral complex can be viewed as the syzygy module of its dual graph with edges weighted by powers of linear forms. When the assignment of linear forms to edges meets certain conditions, we can decompose the graph into disjoint cycles without changing the isomorphism class of the syzygy module. Thus we can use this decomposition to compute the homological dimension...

Due to the impact of climate change, the process of salinity intrusion occurs frequently in coastal areas of Vietnam. The main objective of this study is therefore to try diff erent nanofi ltration (NF) processes (such as single-stage and dual-stage NF) to treat brackish water for residential areas in Thu Bon river basin, where the salinity varies signifi cant with seas...