Driven by the inspiration to develop a new aircraft that incorporates all fields of aeronautical engineering, the focal point of this designapproach is the geometric modelling. Since innovative technologies need to be included in novel configurations, every new idea has to be modelled in a comprehensible manner. Feedbacks coming from the analysed models are easily integrated in the next iterati...

We consider for the wave equation the inverse problem of identifying locations of point sources and dipoles from limited-view data. Using as weights particular background solutions constructed by the geometrical control method, we recover Kirchhoff-, back-propagation-, MUSIC-, and arrival time-type algorithms by appropriately averaging limited-view data. We show that if one can construct accura...

0. Systems theory I. Part 1: Convergence A. Two approaches to convergence B. A mathematical formulation of convergence C. Convergence is a Markov process D. Starting configuration doesn’t matter II. Part 2: Analysis A. Background and mathematical foundation 1. Stochastic matrices 2. The Eigenvalue problem 3. Spectral Decomposition 4. Spectral Decomposition of M B. The Algebraic View 1. Partitio...

Motivated by the notion of perceptual error, as a core concept of the perceptual control theory, we propose an action-amplitude model for controlled entropic self-organization (CESO). We present several aspects of this development that illustrate its explanatory power: (i) a physical view of partition functions and path integrals, as well as entropy and phase transitions; (ii) a global view of ...

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We present a personal view of the most important open problems and areas for research in symplectic integration and in the more general study of geometric structure in numerical methods.

In this note we study Banach spaces of traces of real polynomials on R to compact subsets equipped with supremum norms from the point of view of Geometric Functional Analysis.

We present a geometric approach to diffeomorphism invariant full Colombeau algebras which allows a particularly clear view on the construction of the intrinsically defined algebra Ĝ(M) on the manifold M given in [8]. MSC 2000: Primary: 46T30; secondary: 46F30.

The goal of the proposed research is to capture a concise representation of human deformation and appearance in a low-cost environment that can be seamlessly integrated into entertainment and Virtual Reality applications–applications that often require relighting, high levels of realism, and rendering from novel viewpoints. Techniques for modeling geometric deformation of humans exist in the cu...

This paper investigates the design of the relative motion orbits of geostationary satellites in the presence of geometric constraints. A geometric constraint is defined by a sensor’s pointing direction and field of view. An analyis was made of the underlying geometry of the relative orbits associated to geometric constraints. This resulted in the derivation of novel relations between relative o...