On the Asymptotic Equivalence Between the Radon and the Hough Transforms of Digital Images

DOI10.1137/20M1344159zbMath1490.44002OpenAlexW3159139505MaRDI QIDQ5860292

Fabrice Delbary, Riccardo Aramini, Michele Piana, Claudio Estatico, Anna Maria Massone, Mauro C. Beltrametti

Publication date: 19 November 2021

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1344159

zbMATH Keywords

Radon transformimage processingimage reconstructionHough transformsinogram

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Biomedical imaging and signal processing (92C55) Radon transform (44A12)

Uses Software

• Mathematica
• ASTRA
• TomoPhantom

Cites Work

• Detecting curves of symmetry in images via Hough transform
• Profile detection in medical and astronomical images by means of the Hough transform of special classes of curves
• Generalizing the Hough transform to detect arbitrary shapes
• Real-time line detection through an improved Hough transform voting scheme
• Mathematical Methods in Image Reconstruction
• Hough Transform of Special Classes of Curves
• Use of the Hough transformation to detect lines and curves in pictures
• Integral Geometry and Radon Transforms
• The dynamic generalized Hough transform: Its relationship to the probabilistic Hough transforms and an application to the concurrent detection of circles and ellipses
• Inverse problems in biomedical imaging: modeling and methods of solution
• A formal definition of the Hough transform: properties and relationships
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