Focus measurement in 3D focal stack using direct and inverse discrete radon transform

Óscar Gómez-Cárdenes; José G. Marichal-Hernández; Juan M. Trujillo-Sevilla; David Carmona-Ballester; José M. Rodríguez-Ramos

doi:10.1117/12.2261921

10 May 2017 Focus measurement in 3D focal stack using direct and inverse discrete radon transform

Óscar Gómez-Cárdenes, José G. Marichal-Hernández, Juan M. Trujillo-Sevilla, David Carmona-Ballester, José M. Rodríguez-Ramos

Author Affiliations +

Proceedings Volume 10219, Three-Dimensional Imaging, Visualization, and Display 2017; 102190R (2017) https://doi.org/10.1117/12.2261921
Event: SPIE Commercial + Scientific Sensing and Imaging, 2017, Anaheim, CA, United States

Abstract

The discrete Radon transform, DRT, calculates, with linearithmic complexity, the sum of pixels through a set of discrete lines covering all possible slopes and intercepts in an image. In 2006, a method was proposed to compute the inverse DRT that remains exact and fast, in spite of being iterative. In this work the DRT pair is used to propose a Ridgelet and a Curvelet transform that perform focus measurement of an image. Then the shape from focus approach based on DRT pair is applied to a focal stack to create a depth map of a scene.

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Óscar Gómez-Cárdenes, José G. Marichal-Hernández, Juan M. Trujillo-Sevilla, David Carmona-Ballester, and José M. Rodríguez-Ramos "Focus measurement in 3D focal stack using direct and inverse discrete radon transform", Proc. SPIE 10219, Three-Dimensional Imaging, Visualization, and Display 2017, 102190R (10 May 2017); https://doi.org/10.1117/12.2261921

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