The Discrete Focal Stack Transform

Author

Perez Nava, F. ; Marichal-Hernandez, J.G. ; Rodriguez-Ramos, J.M.

Author_Institution

Dept. de Estadistica, Investig. Oper. y Comput., Univ. de La Laguna, La Laguna, Spain

fYear

2008

fDate

25-29 Aug. 2008

Firstpage

1

Lastpage

5

Abstract

This paper describes the Discrete Focal Stack Transform (DFST) that computes the focal stack (a collection of photographs focused at different depths) from a lightfield. It proposes a new discretization of the Photography operator based on the interpolation of the lightfield by means of 4D trigonometric polynomials and an approximation to the integration process. Our approach combines the Fourier decomposition of the Photography operator with a generalization of the discrete Radon transform and provides a fast and exact computation of the focal stack. We also generalize our formulation to compute the modified laplacian stack that can be used to solve the depth estimation problem. Finally we provide some computational results that show the validity of the approach.

Keywords

Laplace transforms; Radon transforms; discrete Fourier transforms; estimation theory; interpolation; photography; polynomials; stereo image processing; 4D trigonometric polynomials; DFST; Fourier decomposition; Laplacian stack; depth estimation problem; discrete Radon transform; discrete focal stack transform; integration process; lightfield; photography operator; Cameras; Europe; Fourier transforms; Lenses; Photography; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing Conference, 2008 16th European

Conference_Location

Lausanne

ISSN

2219-5491

Type

conf

Filename

7080334