Relevant bibliographies by topics / Transformation de Radon sphérique

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Transformation de Radon sphérique'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 February 2022

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Journal articles on the topic "Transformation de Radon sphérique"

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Kangni, Kinvi, and Saliou Toure. "Transformation de Fourier sphérique de type \delta." Annales mathématiques Blaise Pascal 3, no. 2 (1996): 117–33. http://dx.doi.org/10.5802/ambp.71.

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Saygili, K. "Trkalian fields and Radon transformation." Journal of Mathematical Physics 51, no. 3 (2010): 033513. http://dx.doi.org/10.1063/1.3293982.

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Hjouj, Fawaz. "Linear Transformation Recognition Using Radon Transform." Journal of Mathematical Sciences & Computer Applications 1, no. 2 (June 10, 2017): 40–47. http://dx.doi.org/10.5147/jmsca.v1i2.90.

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Given two regular functions (images) f and g on R2 where g is formed from f by a general linear transformation, g(x) = f (Ax + b). We present a procedure to determine the transformation ‘parameters’ A and b using Radon projections of f and only two projections of g. We use these projections together with simple facts on matrix vector multiplication to recover the matrix A. The assumptions we have here are: f is nonnegative and A is nonsingular. Commonly used transformations in image processing such as rotation, scaling and others are special cases of our approach.
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Felix, Rainer. "Radon-Transformation auf nilpotenten Lie-Gruppen." Inventiones Mathematicae 112, no. 1 (December 1993): 413–43. http://dx.doi.org/10.1007/bf01232441.

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Kangni, Kinvi, and Saliou Touré. "Transformation de Fourier sphérique de type \delta . Applications aux groupes de Lie semi-simples." Annales mathématiques Blaise Pascal 8, no. 2 (2001): 77–88. http://dx.doi.org/10.5802/ambp.143.

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Lyakhov, L. N., M. G. Lapshina, and S. A. Roshchupkin. "Complete transformation of Radon-Kipriyanov. Some properties." Доклады Академии наук 489, no. 2 (November 20, 2019): 125–30. http://dx.doi.org/10.31857/s0869-56524892125-130.

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The even Radon-Kipriyanov transform (Kg-transform) is suitable for investigating problems with the Bessel singular differential operator Bi = 2i2+iii,i 0. In this paper, we introduce the odd Radon-Kipriyanov transform and complete Radon-Kipriyanov transform to investigation more general equations containing odd B‑derivativesiBik, k = 0, 1, 2, ... (in particular, gradients of functions). Formulas of K-transforms of singular differential operators are given. Based on the Bessel transforms introduced by B. M. Levitan and the odd Bessel transform introduced by I. A. Kipriyanov and V. V. Katrakhov, a connection was obtained between the complete Radon-Kipriyanov transform with the Fourier transform and the mixed Fourier-Levitan-Kipriyanov-Katrakhov transform. An analogue of Helgasons support theorem and an analogue of the Paley-Wiener theorem are presented.
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Cai, Lian, Sidan Du, and Duntang Gao. "Geometrically invariant watermarking based on radon transformation." Journal of Electronics (China) 22, no. 3 (May 2005): 301–6. http://dx.doi.org/10.1007/bf02687987.

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Reimer, Manfred. "Die Wirkung der Radon-Transformation auf Polynomräume." Results in Mathematics 16, no. 3-4 (November 1989): 323–44. http://dx.doi.org/10.1007/bf03322482.

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Matkan, A. A., M. Hajeb, M. Eslami, H. Pourali, and S. Sadeghian. "GAP FILLING IN ROAD EXTRACTION USING RADON TRANSFORMATION." ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences I-4 (July 16, 2012): 47–52. http://dx.doi.org/10.5194/isprsannals-i-4-47-2012.

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Petrov, E. E. "Cavalieri conditions for a k-dimensional radon transformation." Mathematical Notes of the Academy of Sciences of the USSR 50, no. 5 (November 1991): 1135–41. http://dx.doi.org/10.1007/bf01157700.

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Dissertations / Theses on the topic "Transformation de Radon sphérique"

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Bonnefond, Xavier. "Contributions à la tomographie thermoacoustique : modélisation et inversion." Toulouse 3, 2010. http://thesesups.ups-tlse.fr/1155/.

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La Tomographie ThermoAcoustique (TTA) est une technique d'imagerie médicale où un corps exposé à une impulsion électromagnétique génère une onde acoustique mesurée autour de celui-ci. Le modèle établi pour la TTA conduit au problème inverse suivant : étant connue la solution d'une équation des ondes sur une hypersurface, il s'agit de reconstruire sa condition initiale. Malgré l'existence de formules explicites, aucune procédure d'inversion rapide, stable et valable en situation clinique n'existe à ce jour. Outre une synthèse des travaux existants, l'objet de ce travail a été, dans un premier temps, d'élaborer une approche variationnelle pour le problème de la TTA. Nous avons considéré la régularisation par mollification, où l'objet à reconstruire est remplacé par une version à résolution limitée, tandis que les données sont traitées pour plus de cohérence. De plus, une stratégie de sélection de paramètre de régularisation utilisant les méthodes de Krylov, et valable pour les régularisations de type Tikhonov, est proposée. Dans un deuxième temps, le modèle usuel de la TTA a été remis en question afin de prendre en compte l'atténuation subie en pratique par l'onde mesurée. On propose plusieurs équations des ondes atténuées causales. Cette évolution du modèle nous a conduit à tester la méthode du Back and Forth Nudging (BFN), issue du champ de l'assimilation de données, consistant à introduire un rappel aux données newtonien dans l'équation des ondes, puis à alterner des résolutions en temps direct et rétrograde. La convergence de la méthode est démontrée dans un cas idéal, mais le procédé offre d'excellents résultats en situation de données incomplètes et atténuées
ThermoAcoustic Tomography (TAT) is a medical imaging technique using the pressure wave generated by a body illuminated by an electromagnetic pulse. Since the acoustic signal is recorded around the body, the resulting inverse problem can be formulated as follows : from the knowledge of a solution of the wave equation on some hypersurface, reconstruct its initial condition. Despite several inversion formulas, so far no efficient procedure, taking partial data and damping into account, is known. As well as a state of the art, this work is dedicated to the introduction of a variational approach for the TAT problem. We studied the regularization by mollification, which consists in replacing the original object by a limited resolution version of it, and treating the data so that they fit this new objective. Moreover, we used a noise level estimation provided by the Golub-Kahan bidiagonalization process to allow an accurate regularization parameter selection. In the second part of this work, we investigate the usual TAT model and put forward some damped wave equation with a finite wave front speed. This improvement yields to the use of the Back and Forth Nudging (BFN) method, which was first implemented for data assimilation purposes, to invert the TAT problem. This technique provides a sequence of approximations of the solution by iterating forward and backward implementations of a wave equation including a newtonian recall to the data. This method, which is proved to be convergent in an ideal framework, leads to convincing results in both partial data and attenuated wave cases
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Khayata, Mohamed. "Inversion de la transformation de Radon." Grenoble 2 : ANRT, 1987. http://catalogue.bnf.fr/ark:/12148/cb376065397.

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Quellmalz, Michael. "A generalization of the Funk–Radon transform to circles passing through a fixed point." Universitätsbibliothek Chemnitz, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-192513.

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The Funk–Radon transform assigns to a function on the two-sphere its mean values along all great circles. We consider the following generalization: we replace the great circles by the small circles being the intersection of the sphere with planes containing a common point ζ inside the sphere. If ζ is the origin, this is just the classical Funk–Radon transform. We find two mappings from the sphere to itself that enable us to represent the generalized Radon transform in terms of the Funk–Radon transform. This representation is utilized to characterize the nullspace and range as well as to prove an inversion formula of the generalized Radon transform.
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Hielscher, Ralf. "The Radon transform on the rotation group." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola&quot, 2009. http://nbn-resolving.de/urn:nbn:de:bsz:105-3614018.

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Ein zentrales Problem der quantitativen Texturanalyse ist die numerische Inversion der eindimensionalen Radontransformation auf der Lie--Gruppe SO(3) aller Rotationen im dreidimensionalen euklidischen Raum. In der vorliegenden Dissertation wird die Lösbarkeit und Eindeutigkeit dieses inversen Problems untersucht und Fehlerabschätzungen unter Berücksichtigung unvollständiger und fehlerbehafteter Daten hergeleitet. Weiterhin wird ein Algorithmus zur Lösung des inversen Problems vorgeschlagen, welcher auf einer Diskretisierung mittels radialer Basisfunktionen basiert und schnelle Fouriermethoden auf der Kugel und der Lie-Gruppe SO(3) benutzt. In numerischen Tests wird gezeigt, dass der Algorithmus für die Rekonstruktion scharfer Texturen aus Beugungsdaten gemessen auf einem hochauflösenden, ungleichmäßigen Messraster geeignet ist.
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Quellmalz, Michael. "A generalization of the Funk–Radon transform to circles passing through a fixed point." Technische Universität Chemnitz, 2015. https://monarch.qucosa.de/id/qucosa%3A20372.

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The Funk–Radon transform assigns to a function on the two-sphere its mean values along all great circles. We consider the following generalization: we replace the great circles by the small circles being the intersection of the sphere with planes containing a common point ζ inside the sphere. If ζ is the origin, this is just the classical Funk–Radon transform. We find two mappings from the sphere to itself that enable us to represent the generalized Radon transform in terms of the Funk–Radon transform. This representation is utilized to characterize the nullspace and range as well as to prove an inversion formula of the generalized Radon transform.
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Touma, Hamid. "Imagerie en astronomie spatiale par transformation inverse de Radon : application au télescope à pupille fente." Nice, 1985. http://www.theses.fr/1985NICE4065.

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Mise au point d'un algorithme de restitution d'images à partir de l'ensemble de ses projections suivant différentes directions (Transformation de Radon). Les projections sont ici les images unidimensionnelles issues d'un télescope à pupille fente (T. P. F. ), supposé placé dans l'espace et en rotation autour de son axe optique. L'algorithme utilise essentiellement la transformation de Fourier sous forme numérique. On montre en exemples des restitutions d'images issues de simulation purement numérique ou de clichés astronomiques digitalisés. On propose une solution au problème de l'effet du déplacement de l'axe de rotation du T. P. F. On montre l'intérêt de l'association du T. P. F. à un spectrographe, ce qui permet la restitution d'images astronomiques simultanément en plusieurs longueurs d'ondes
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Hielscher, Ralf. "The Radon transform on the rotation group inversion and application to texture analysis /." Doctoral thesis, [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=985235330.

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Gourion, Daniel. "Correction d'atténuation à partir des seules données d'émission en tomographie d'émission monophotonique : un problème inverse mal posé." Toulouse 3, 2002. http://www.theses.fr/2002TOU30071.

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Meo, Michel. "Transformations intégrales pour les courants positifs fermés et théorie de l'intersection." Grenoble 1, 1996. http://www.theses.fr/1996GRE10015.

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On etudie tout d'abord la transformation integrale qui permet d'etendre aux courants positifs fermes la definition des coordonnees de chow des cycles effectifs de l'espace projectif. A un courant de bidegre (q,q) est associe un courant de bidegre (1,1), obtenu par integration sur les sous-espaces projectifs de dimension q-1 et dont les potentiels jouent le role des formes de chow. On verifie que cette transformation est elle aussi injective. La demonstration repose, apres utilisation d'un tranchage, sur une formule classique d'inversion de la transformation de radon des fonctions. Dans la seconde partie on etablit, pour un courant positif ferme defini sur une varite projective, des inegalites auto-intersection qui permettent de borner le degre des strates ou la multiplicite est constante. La demonstration consiste d'abord a se ramener par plongement au cas de l'espace projectif. On applique alors la theorie des operateurs de monge-ampere pour effectuer l'intersection du courant avec les regularises d'un courant auxiliaire de bidegre (1,1) qui a le meme degre et les memes nombres de lelong. Pour definir ce dernier, plusieurs constructions differentes sont etudiees. Dans la derniere partie, on etudie l'existence de l'image inverse d'un courant positif ferme quelconque par une application analytique surjective. Sauf dans le cas de la codimension 1, cette image inverse n'existe pas en general: le cas d'un eclatement donne un contre-exemple. Dans le cas d'une application ouverte, on peut en revanche definir l'image inverse. On se ramene grace a un tranchage au cas d'un morphisme fini et on utilise alors un potentiel local associe au courant. On donne ensuite des inegalites entre les nombres de lelong du courant et ceux de son image inverse
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Brazey, Denis. "Reconnaissance de formes et suivi de mouvements en 4D temps-réel : Restauration de cartes de profondeur." Thesis, Rouen, INSA, 2014. http://www.theses.fr/2014ISAM0019.

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Dans le cadre de cette thèse, nous nous intéressons à plusieurs problématiques liées au traitement de données 3D. La première concerne la détection et le suivi de personnes dans des séquences d'images de profondeur. Nous proposons une amélioration d'une méthode existante basée sur une étape de segmentation, puis de suivi des personnes. La deuxième problématique abordée est la détection et la modélisation de têtes dans un nuage de points 3D. Pour cela, nous adoptons une approche probabiliste basée sur un nouveau modèle de mélange sphérique. La dernière application traitée est liée à la restauration d'images de profondeur présentant des données manquantes. Nous proposons pour cela d'utiliser une méthode d'approximation de surface par Dm-splines d'interpolation avec changements d'échelle pour approximer et restaurer les données. Les résultats présentés illustrent l'efficacité des algorithmes développés
In this dissertation, we are interested in several issues related to 3D data processing. The first one concerns people detection and tracking in depth map sequences. We propose an improvement of an existing method based on a segmentation stage followed by a tracking module. The second issue is head detection and modelling in 3D point clouds. In order to do this, we adopt a probabilistic approach based on a new spherical mixture model. The last considered application deals with the restoration of deteriorated depth maps. To solve this problem, we propose to use a surface approximation method based on interpolation Dm-splines with scale transforms to approximate and restore the image. Presented results illustrate the efficiency of the developed algorithms
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Books on the topic "Transformation de Radon sphérique"

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Deans, Stanley R. The radon transform and some of its applications. Malabar, Fla: Krieger Pub. Co., 1993.

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1942-, Goldschmidt Hubert, ed. Radon transforms and the rigidity of the Grassmannians. Princeton: Princeton University Press, 2004.

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The Fourier transform and its applications. 3rd ed. Boston: McGraw Hill, 2000.

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The Fourier transform and its applications. 2nd ed. New York: McGraw-Hill, 1986.

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Deans, Stanley R. The Radon Transform and Some of Its Applications. Dover Publications, 2007.

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Book chapters on the topic "Transformation de Radon sphérique"

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Gopi, E. S. "Radon Transformation." In Digital Signal Processing for Medical Imaging Using Matlab, 1–25. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3140-4_1.

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Lehmann, Thomas, Walter Oberschelp, Erich Pelikan, and Rudolf Repges. "Die Radon-Transformation." In Bildverarbeitung für die Medizin, 283–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60487-4_11.

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Hall, Eric J., Tom K. Hei, and Gerhard Randers-Pehrson. "Radon-Induced Transformation." In Anticarcinogenesis and Radiation Protection, 329–34. Boston, MA: Springer US, 1987. http://dx.doi.org/10.1007/978-1-4615-6462-1_49.

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Unterberger, André. "The Radon transformation and applications." In Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms, 47–80. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0166-9_2.

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Ohser, Joachim. "Radon-Transformation und tomographische Rekonstruktion." In Angewandte Bildverarbeitung und Bildanalyse, 248–59. München: Carl Hanser Verlag GmbH & Co. KG, 2018. http://dx.doi.org/10.3139/9783446453081.006.

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Helgason, Sigurdur. "Lie Transformation Groups and Differential Operators." In Integral Geometry and Radon Transforms, 253–63. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-6055-9_8.

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Hei, Tom K. "Oncogenic Transformation by Asbestos Fibers and Radon-Simulated Alpha Particles." In Effects of Mineral Dusts on Cells, 389–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-74203-3_49.

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Kagawade, Vishwanath C., C. S. Vijayashree, and T. Vasudev. "Transformation of Artistic Form Text to Linear Form Text for OCR Systems Using Radon Transform." In Lecture Notes in Electrical Engineering, 747–56. New Delhi: Springer India, 2013. http://dx.doi.org/10.1007/978-81-322-1157-0_76.

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Tóth, Márton József, and Balázs Csébfalvi. "Distribution Interpolation of the Radon Transforms for Shape Transformation of Gray-Scale Images and Volumes." In Communications in Computer and Information Science, 15–28. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-25117-2_2.

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"STABILITY OF THE INVERSE RADON TRANSFORMATION." In Stability Problems for Stochastic Models, 95–102. De Gruyter, 1994. http://dx.doi.org/10.1515/9783112319062-010.

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Conference papers on the topic "Transformation de Radon sphérique"

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Abdulaziz, Eman, and Khalil I. Alsaif. "Radon transformation for Arabic character recognition." In 2008 International Conference on Computer and Communication Engineering (ICCCE). IEEE, 2008. http://dx.doi.org/10.1109/iccce.2008.4580642.

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Wood, John C., and Daniel T. Barry. "Radon transformation of the Wigner spectrum." In San Diego '92, edited by Franklin T. Luk. SPIE, 1992. http://dx.doi.org/10.1117/12.130943.

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Zhou, Yunxuan, and Dominic Koosimile. "Potential‐field continuation via the radon transformation." In SEG Technical Program Expanded Abstracts 1992. Society of Exploration Geophysicists, 1992. http://dx.doi.org/10.1190/1.1822139.

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Chang, Haoran, Rhodri Smith, Stephen Paisey, Rostyslav Boutchko, and Debasis Mitra. "Deep Learning Image Transformation under Radon Transform." In 2020 IEEE Nuclear Science Symposium and Medical Imaging Conference (NSS/MIC). IEEE, 2020. http://dx.doi.org/10.1109/nss/mic42677.2020.9507793.

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Wang, Xiongwen, and Huazhong Wang. "High-Resolution Linear Radon Transformation WithL0-norm Constraint." In Beijing 2014 International Geophysical Conference & Exposition, Beijing, China, 21-24 April 2014. Society of Exploration Geophysicists and Chinese Petroleum Society, 2014. http://dx.doi.org/10.1190/igcbeijing2014-073.

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Pascal, Guillaume, Andreas Møgelmose, and Andreas Kappel. "Evaluation of Knee Implant Alignment using Radon Transformation." In 16th International Conference on Computer Vision Theory and Applications. SCITEPRESS - Science and Technology Publications, 2021. http://dx.doi.org/10.5220/0010192405870594.

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Leavers, V. F., and G. F. Miller. "Radon transformation of S-function Curves. A Geometric Approach." In Alvey Vision Conference 1987. Alvey Vision Club, 1987. http://dx.doi.org/10.5244/c.1.45.

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Singh, Prerna, and Priti Sehgal. "Automated caries detection based on Radon transformation and DCT." In 2017 8th International Conference on Computing, Communication and Networking Technologies (ICCCNT). IEEE, 2017. http://dx.doi.org/10.1109/icccnt.2017.8204030.

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Hua, Yuming, Junhai Guo, and Hua Zhao. "The usage of inverse-radon transformation in ISAR imaging." In 2014 IEEE International Conference on Control Science and Systems Engineering (CCSSE). IEEE, 2014. http://dx.doi.org/10.1109/ccsse.2014.7224530.

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Dong, Yinwen, Bingcheng Yuan, Hangyu Wang, Zhaoming Shi, and Yuntao Liu. "An Algorithm for Recognizing Runway Based on Improved Radon Transformation." In 2011 International Conference on Information Technology, Computer Engineering and Management Sciences (ICM). IEEE, 2011. http://dx.doi.org/10.1109/icm.2011.13.

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