-In this paper we consider a technique for pattern classification based upon the development of prototypes which capture the distinguishing features ("disjunctive prototypes") of each pattern class and, via cross-correlation with incoming test images, enable efficient pattern classification. We evaluate such a classification procedure with prototypes based on the images per se (direct code), Ga...

If S is noncompact, or has nonempty boundary, then π1(S) is free, and the answer to Question 1 is yes, by an old result of Magnus [7] on one-relator groups. (Essentially, the defining relator in a one-relator group on a given generating set is unique up to conjugacy and inversion.) We will show (see Theorem 3.4 below) that Question 1 also has an affirmative answer in the case of a closed surfac...

A theory of flexibility and rigidity is developed for general infinite bar-joint frameworks (G, p). Determinations of nondeformability through vanishing flexibility are obtained as well as sufficient conditions for deformability. Forms of infinitesimal flexibility are defined in terms of the operator theory of the associated infinite rigidity matrix R(G, p). The matricial symbol function of an ...

Let V n be an open manifold of non-negative sectional curvature with a soul Σ of co-dimension two. The universal cover Ñ of the unit normal bundle N of the soul in such a manifold is isometric to the direct productM×R. In the study of the metric structure of V n an important role plays the vector field X which belongs to the projection of the vertical planes distribution of the Riemannian subme...

We propose a novel method to analyze a sequence of color images. A series of color images is examined in a four-dimensional space, which we call the temporal-color space, whose axes are the three color axes red, green, and blue and one temporal axis. The significance of the temporal-color space lies in its ability to represent the change of image color with time. A conventional color space anal...

Among many skin color sources, hemoglobin and melanin components are regarded most significant in determining the final color of human skin. In extracting the two components, this paper proposes to use a more intuitive color model, HSV, than the RGB color space. For 3D rendering, we propose a novel method to reconstruct the fine-scale structure (normal map) of the human skin from a single highl...

The k-DNF resolution proof systems are a family of systems indexed by the integer k, where the k member is restricted to operating with formulas in disjunctive normal form with all terms of bounded arity k (k-DNF formulas). This family was introduced in [Krajı́ček 2001] as an extension of the wellstudied resolution proof system. A number of lower bounds have been proven on k-DNF resolution proof...