A Geometrical Interpretation of Frequency

A geometrical interpretation of the inverse matrix

A New Geometrical Interpretation of Trilinear Constraints

We give a new geometrical interpretation of the well-known algebraic trilinear constraints used in motion analysis from three views observation. We show that those algebraic equations correspond to depth errors appropriately weighted by a function of the relative reliability of the corresponding measurements. Therefore directly minimizing the algebraic trilinear equations, in the least squares ...

Geometrical Interpretation of Constrained Systems

The standard approach to classical dynamics is to form a Lagrangian which is a function of n generalized coordinates qi, n generalized velocities q̇i and parameter τ . The 2n variables qi, q̇i form the tangent bundle TQ. The passage from TQ to the cotangent bundle T ∗Q is achieved by introducing generalized momenta and a Hamiltonian. However, this procedure requires that the rank of Hessian matrix

Geometrical interpretation of solutions of certain PDEs

In §1 the authors define the notion of harmonic map between two generalized Lagrange spaces. In §2 it is proved that for certain systems of differential or partial differential equations, the solutions belong to a class of harmonic maps between two generalized Lagrange spaces. §3 describes the main properties of the generalized Lagrange spaces constructed in §2. These spaces, being convenient r...

Geometrical Interpretation of Ifs Based Image Coding

In most classical coding methods, a global optimization is carried out to ensure a given bit-rate or a given quality. In IFS based coding, some heuristic choices are made at each step of the algorithm: No method has, for instance, been proposed to optimize the domain blocks position, or the quantization of the transformations parameters. In this article we rst analyze the limits of the existing...