The present paper proposes a novel method for 3D model content-based search based on the 3D Generalized Radon Transform. A set of descriptor vectors is extracted, which represent significant shape characteristics and completely invariant in terms of translation, scaling and rotation. Experimental results show that the proposed method can be used for 3D model search and retrieval in a highly eff...

Robotics research has made extensive use of techniques based on the Moore-Penrose inverse, or generalized-inverse, of matrices. Recently, it has been pointed out how non-invariant results may, in general, be obtained applying these techniques to some areas of robotics, namely hybrid control and inverse velocity kinematics. Unfortunately, the problems are not restricted to just these particular ...

a‎s we know, developing mathematical models and numerical procedures that would appropriately treat and solve systems of linear equations where some of the system's parameters are proposed as fuzzy numbers is very important in fuzzy set theory. for this reason, many researchers have used various numerical methods to solve fuzzy linear systems. in this paper, we define the concepts of midpoint a...

We extend the Mason-Newman Lax pair for the elliptic complex MongeAmpère equation so that this equation itself emerges as an algebraic consequence. We regard the function in the extended Lax equations as a complex potential. They imply the determining equation for symmetries of the complex Monge-Ampère equation as their differential compatibility condition. We shall identify the real and imagin...

We extend the Mason-Newman Lax pair for the elliptic complex MongeAmpère equation so that this equation itself emerges as an algebraic consequence. We regard the function in the extended Lax equations as a complex potential. They imply the determining equation for symmetries of the complex Monge-Ampère equation as their differential compatibility condition. We shall identify the real and imagin...

This paper presents a new synthesis procedure (design algorithm) for cellular neural networks (CNN’s) with a space-invariant cloning template with applications to associative memories. In the present synthesis procedure, the design problem is formulated as a set of linear inequalities, and the inequalities are solved using the well-known perceptron training algorithm. When desired memory patter...

| This paper presents a new synthesis procedure (design algorithm) for cellular neural networks with space-invariant cloning template with applications to associative memories. In the present synthesis procedure, the design problem is formulated as a set of linear inequalities and the inequalities are solved using the well-known percep-tron training algorithm. When desired memory patterns are g...

In this paper, we introduce a new entropy-like invariant, named Hausdorff metric entropy, for finitely generated semigroups acting on compact metric spaces from a set-valued view and study its properties. We establish the relation between Hausdorff metric entropy and topological entropy of a semigroup defined by Bis. Some examples with positive or zero Hausdorff metric entropy are given. Moreov...

It is well known that Landau's phenomenological description' of a continuous phase transition is very useful in classifying syminetry changes which can take place during such a transition. A good illustrative example is given by Lyubarskii. The procedure can be summarized as follows: (1) Find the space group 6 of the high-symmetry phase of a physical system (crystal, alloy, etc.) and the irredu...

Optical character recognition is undoubtedly considered as a one of the most active and dynamic fields of pattern recognition and artificial intelligence; it really provides in fact a solution for recognizing large volume of patterns automatically. The purpose of the present study is to compare in one hand between the performances of three novel hybrid methods used in OCR for extracting efficie...