The problem of quantiier elimination, or projection, is to reduce the dimensions of a constraint to the desired ones without changing the solution set. Such a method is best known for linear dense domains. Systems like ECL i PS e and CLP(R) provide a projection module to eliminate the dead variables of the linear part of answers. But elimination can be more than a lter of the answer. It can als...

Integrating different knowledge representation languages is clearly an important topic. This allows, for instance, for a unified representation of knowledge coming from different sources, each source using one of the integrated languages for its knowledge representation. This is of special importance for QSR languages, for such a language makes only a finite number of distinctions: integrating ...

The Polyhedral Active Set Algorithm (PASA) is designed to optimize a general nonlinear function over polyhedron. Phase one of the algorithm nonmonotone gradient projection algorithm, while phase two an active set that explores faces constraint A gradient-based implementation presented, where projected version conjugate employed in two. Asymptotically, only performed. Comparisons are given with ...

Preferences in constraint problems are common but significant in many real world applications. In this paper, we extend our conditional and composite CSP (CCCSP) framework, managing CSPs in a dynamic environment, in order to handle preferences. Unlike the existing CSP models managing one form of preferences, ours supports four types, namely : variable value and constraint preferences, composite...

CATADIOPTRIC PROJECTIVE GEOMETRY: THEORY AND APPLICATIONS Christopher Michael Geyer Supervisor: Kostas Daniilidis Catadioptric cameras are devices which use both mirrors (catadioptric elements) and lenses (dioptric elements) to form images. In computer vision and robotics, catadioptric cameras have been used for their wide field of view. Such cameras often have a field of view greater than 180Æ...

We present an algorithm for infinitesimal motion estimation from multiple central panoramic views. We first derive the optical flow equations for central panoramic cameras as a function of both pixel coordinates and back-projection rays. We then derive a rank constraint on the optical flows across many frames, which must lie in a six dimensional subspace of a higher-dimensional space. We then p...

We give an efficient method, combining number-theoretic and combinatorial ideas, to exactly compute black hole entropy in the framework of loop quantum gravity. Along the way we provide a complete characterization of the relevant sector of the spectrum of the area operator, including degeneracies, and explicitly determine the number of solutions to the projection constraint. We use a computer i...

By now, LFG is a well-established framework for natural language analysis based on the interrelated notions of structure, description and correspon-dence(Kaplan, 1995; Kaplan and Bresnan, 1981). The key idea is to analyze an utterance simultaneously along several dimensions — constituent structure, functional structure, semantic structure, with provision for additional dimensions. The analyses ...

We consider a class of neural networks whose performance can be analyzed and geometrically visualized in a signal space environment. Alternating projection neural networks (APNN’s) perform by alternatively projecting between two or more constraint sets. Criteria for desired and unique convergence are easily established. The network can he configured as either a content addressable memory or cla...

Systems with constraints pose problems when they are quantized. Moreover, the Dirac procedure of quantization prior to reduction is preferred. The projection operator method of quantization, which can be most conveniently described by coherent state path integrals, enables one to directly impose a regularized form of the quantum constraints. This procedure also overcomes conventional difficulti...