Data-dependent rotations have been found to be a useful component for designing block cipher including MARS and RC6, two candidates for AES. Existing analysis indicates that data-dependent rotations play an important role in thwarting di erential and linear attacks. In this paper, we study di erential properties of data-dependent rotations, and derive a complete characterization of all possible...

This paper presents a matching method which is based on invariants of the luminance function. This makes matching possible in the case of important geometric transformations between images. The method is robust to occlusion, as local properties of the image signal are used. We propose to use di erential measures invariant to rotations in a multi-scale framework. Promising results are obtained w...

The di erential equation dX dt X k X where k is a Toeplitz annihilator has been suggested as a means to solve the inverse Toeplitz eigenvalue problem Starting with the diagonal matrix whose entries are the same as the given eigenvalues the solution ow has been observed numerically to always converge a symmetric Toeplitz matrix as t This paper is an attempt to understand the dynamics involved in...

We classify all partial di¤erential equations with polynomial coe¢ cients in x and y of the form A(x)uxx + 2B(x; y)uxy + C(y)uyy +D(x)ux + E(y)uy = nu; which has weak orthogonal polynomials as solutions and show that partial derivatives of all order are orthogonal. Also, we construct orthogonal polynomials in d-variables satisfying second order partial di¤erential equations in d-variables.

Based on the di erential action introduced in [12] we extend the action system framework into a hybrid action system framework. Hybrid action systems are to be used in modelling and analysing hybrid systems. The meaning of a hybrid action system is given as an ordinary action system. We also extended the de nition of a parallel composition for action systems to handle the continuous behaviour i...

We describe herein the parallel implementation of the Bi-CGSTAB method with a block Red-Black Gauss-Seidel (RBGS) preconditioner applied to the systems of linear algebraic equations that arise from the Hermite collocation discretization of partial di erential equations in two spatial dimensions. The method is implemented on the Cray T3E, a parallel processing supercomputer. Speedup results are ...

Recently, the notion of data as manifolds has come into being. The subject of image manifolds has been explored but not extensively and not from the point of view of di erential geometry. It is a well known fact that image manifolds are curved. Using some basic techniques of di erential geometry this paper explores image manifold curvature and attempts get a feel for the magnitude of this curva...

In this article we consider derive a macroscopic model for root length density evolution, starting from a discrete mesh of roots, using homogenization. In the microscopic model each roots grows vertically according to an ordinary di erential equation. The roots growth rates depend on the spatial repartition of nutrient in the soil, which also evolves in time, leading to a fully coupled nonlinea...

We describe a novel formulation of the range recovery problem, based on computation of the di erential variation in image intensities with respect to changes in camera position. The method uses a single stationary camera and a pair of calibrated optical attenuation masks to directly measure this di erential quantity. The subsequent computation of the range image is simple and should be suitable...

We study some classes of generalized a¢ ne functions, using a generalized di¤erential. We study some properties and characterizations of these classes and we devise some characterizations of solution sets of optimization problems involving such functions or functions of related classes. Key words: colinvex, colin…ne, generalized di¤erential, optimization problem, protoconvex function, pseudocon...