From Event: SPIE Commercial + Scientific Sensing and Imaging, 2017
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.
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 (Presented at SPIE Commercial + Scientific Sensing and Imaging: April 11, 2017; Published: 10 May 2017); https://doi.org/10.1117/12.2261921.
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