This paper presents an image synthesis algorithm for rendering views of a real scene taken with a virtual camera which is located between two real cameras. Specifically, this paper presents how, under certain conditions, a pair of views is enough to obtain a full set of possible views by following the line that joins their optical centers (baseline) without reconstructing explicit 3D models. Test results show the viability of the proposed algorithm for simple scenes (an object with a simple geometry, which is opaque, and does not present any occlusions). [ABSTRACT FROM AUTHOR]
Pineda-Torres, Franklin, Hurtado-Cortés, Luini Leonardo, and Chica-Leal, Alonso de Jesús
Subjects
*ALGORITHMS, *MATRICES (Mathematics), *UNIVERSAL algebra, *ABSTRACT algebra, *POLYNOMIALS, *SET theory
Abstract
This paper presents an extension of Gauthier's algorithm, which solves the problem of searching for the multivariable minimal realization starting from square transference matrices. Previously, the algorithm incorporates the coprime fractions developed with Silvester matrices and qr factorization. Since the coprime fractions have a special relation with matrices in polynomial fraction, they show their differences by analyzing them independently. The general features are set out, and the developed functions named, in order to emphasize the different search paths and their representation in state space (neither of which are not unique) for the coprime fraction. For demonstration we used a multivariable dynamic system, where the efficiency and limitations of the developed algorithm are checked based on the functions performed with the Matlab® Control Toolbox. [ABSTRACT FROM AUTHOR]
Published
2009
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