In this paper we compare two well-known techniques for reasoning with uncertainty {namely, Incidence Calculus and the Theory of Evidence { from a viewpoint not so frequently explored for such techniques. We argue that, despite the equivalence relations that these techniques have been proved to hold, they have intrinsically diierent r^ oles as representations of uncertainty for automated reasoni...

The paper is devoted to the question whether some kind of additional information makes it possible to determine the fundamental matrix of variational equations in 3 . An application concerning computation of a derivative of a scalar Poincaré mapping is given.

This chapter focuses on five main literature models of geometric tolerance analysis – vector loop, variational, matrix, Jacobian, and torsor – and makes a comparison between them in order to highlight the advantages and the weaknesses of each, with the goal of providing a criterion for selecting the most suitable one, depending on the application. The comparison is done at two levels: the first...

Surface representation is needed for almost all modeling and visualization applications, but unfortunately, 3D data from a passive vision system are often insufficient for a traditional surface reconstruction technique that is designed for densely scanned 3D point data. In this paper, we develop a new method for surface reconstruction by combining both 3D data and 2D image information. The silh...

Abstract. The aim of this article is to propose a new method for the grey-level image classification problem. We first present the classical variational approach without and with a regularization term in order to smooth the contours of the classified image. Then we present the general topological asymptotic analysis, and we finally introduce its application to the grey-level image classificatio...

The variational Bayesian (VB) approach is one of the best tractable approximations to the Bayesian estimation, and it was demonstrated to perform well in many applications. However, its good performance was not fully understood theoretically. For example, VB sometimes produces a sparse solution, which is regarded as a practical advantage of VB, but such sparsity is hardly observed in the rigoro...

A trend of recent R & D on display devices, especially flat panel display, are reviewed. In addition, historical growing process of liquid crystal display (LCD) is reviewed from both sides of a simple matrix LCD technology and an active matrix LCD technology, and a trend of recent advanced technology is also discussed.

although the genome is defined by its primary sequence, its functional properties, are determined by far more complex mechanisms and depend on multiple layers of nuclear organization. the architecture of the nucleus includes two overlapping structures: the chromatin and a framework structure named the nuclear matrix. ultra-structural studies reveal that the nuclear matrix is a network consistin...

Basener and Ross (2005) proposed a mathematical model that describes the dynamics of growth and sudden decrease in the population of Easter Island. We have applied Lie group analysis to this system and found that it can be integrated by quadrature if the involved parameters satisfy certain relationships. We have also discerned hidden linearity. Moreover, we have determined a Jacobi last multipl...

To extract elements of prosodic features which relate to speakers' intentional control is required for speech information processing. Speech rate variation should be a "caution signal" to call listeners' attention strongly. To express and detect such "caution signals", we have proposed a new speech rate model. This model introduces two kinds of force to control the speech rate. One is a driving...