A granulometry is a family of morphological openings by scaled structuring elements. As the scale increases, increasing image area is removed. Normalizing removed area by the total area yields the pattern spectrum of the image. The pattern spectrum is a probability distribution function and its moments are known as granulometric moments. Modeling the image as a random set, the pattern spectrum ...

The main aim of this paper is to investigate the nature invariance rectifying curve under conformal transformation and obtain a sufficient condition for which such remains conformally invariant. It shown that normal component geodesic curvature homothetic

The number of solved structures of macromolecules that have the same fold and thus exhibit some degree of conformational variability is rapidly increasing. It is consequently advantageous to develop a standardized terminology for describing this variability and automated systems for processing protein structures in di erent conformations. We have developed such a system as a 'front-end' server ...

Standard micro-founded macroeconomics starts with optimization exercises to derive the precise behavior of the representative agent and regards the macroeconomy as a homothetic enlargement of a micro agent. This paper takes a different approach and presents a new micro-foundation for Keynesian economics. The key concept is stochastic macro-equilibrium, which is a natural extension of the labor ...

In this paper, we study the geometry of a semi-Riemannian manifold M̄ of quasi-constant curvature. The main result is two characterization theorems for M̄ endowed with a statical, screen homothetic or screen totally umbilical half lightlike submanifold M . Mathematics Subject Classification: 53C25, 53C40, 53C50

it is easily seen that a motion and a homothetic transformation are both affine collineations and that an affine collineation preserves the curvature tensor. In [l ] one of the present authors proved that in a space of nonzero constant curvature a mapping preserving curvature is a motion. For an Einstein space with nonzero curvature scalar, a mapping preserving Ricci curvature is a motion; for ...

This paper considers the robust model predictive control synthesis problem for constrained linear discrete time systems. The manuscript introduces a simple homothetic tube model predictive control synthesis method. The proposed method employs several novel features including: a more general parameterization of the state and control tubes based on homothety and invariance; a more flexible form o...