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 operators
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11582/1450
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
social impact