In this work, the phase-difference-based technique for disparity estimation in stereo vision is formulated in terms of variational calculus. In this formalism, non-local operations such as image convolutions with Gabor-like filters are replaced by solutions of systems of coupled differential equations (DE), whose degree depends on the smoothness of the convolution kernel. The variational formulation of the whole disparity-estimation problem allows introducing new computational features: 1) a regularization scheme that reduces irregularities in the computed disparity field, and 2) a coupling between the filter parameters and the system output in order to optimize DE system performance. In the perspective of analog computation on discrete lattice networks, this work indicates the possibility of performing a complex and a global filtering operation by means of local operators
Differential Equations for Phase-Based Stereo-Vision
1999-01-01
Abstract
In this work, the phase-difference-based technique for disparity estimation in stereo vision is formulated in terms of variational calculus. In this formalism, non-local operations such as image convolutions with Gabor-like filters are replaced by solutions of systems of coupled differential equations (DE), whose degree depends on the smoothness of the convolution kernel. The variational formulation of the whole disparity-estimation problem allows introducing new computational features: 1) a regularization scheme that reduces irregularities in the computed disparity field, and 2) a coupling between the filter parameters and the system output in order to optimize DE system performance. In the perspective of analog computation on discrete lattice networks, this work indicates the possibility of performing a complex and a global filtering operation by means of local operatorsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
