NDLI: Radon transform and Conformal Geometric Algebra with lines

Content Provider	IEEE Xplore Digital Library
Author	Falcon-Morales, L. Bayro-Corrochano, L.E.
Copyright Year	2008
Description	Author affiliation: Tecnol. de Monterrey, Monterrey (Falcon-Morales, L.) \|\| CINVESTAV, Unidad Guadalajara, Guadalajara (Bayro-Corrochano, L.E.)
Abstract	In this paper we apply the classic theory of harmonic analysis and the conformal geometric algebra (CGA) to evaluate the Fourier transform on the unit sphere $S^{2}$ and on the rotation group SO(3). Since the images taken by omnidirectional sensors can be mapped to the sphere, the problem of attitude estimation of a 3D camera rotation can be treated as a problem of estimating rotations between spherical images. Usually, this rotation estimation problem has been solved using the Radon transform with point correlation or with line correlation. Using a catadioptric system with a parabolic mirror, 3D lines will be projected as great circles on $S^{2}$ and then projected as circles on the image plane. CGA is a mathematical framework where its basic entities, spheres, circles, lines and planes can be used with incidence algebra operations to improve the line correlation in the Radon transform as a dual-circle correlation. Thus, harmonic analysis theory and conformal geometric algebra will be joined in this paper to improve the search of a 3D rotation correspondence between two omnidirectional images.
Starting Page	1
Ending Page	4
File Size	308119
Page Count	4
File Format	PDF
ISBN	9781424421749
ISSN	10514651
DOI	10.1109/ICPR.2008.4761341
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-12-08
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Algebra Harmonic analysis Fourier transforms Cameras Mirrors Mobile robots Argon Image sensors Computer vision Computational efficiency
Content Type	Text
Resource Type	Article
Subject	Computer Vision and Pattern Recognition

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Radon Transform and Harmonical Analysis Using Lines for 3D Rotation Estimation without Correpondences from Omnidirectional Vision

A Geometric Invariant Shape Descriptor Based on the Radon, Fourier, and Mellin Transforms

Rectified catadioptric stereo sensors

3D Rotation Estimation from Catadioptric Lines without Correspondences using the Radon Transform, Harmonic Analysis and Conformal Geometric Algebra

Blur kernel estimation using the radon transform

Feature extraction using Radon, wavelet and fourier transform

Moving object detection with mobile stereo omni-directional system (SOS) based on motion compensatory inter-frame depth subtraction

Analysis of wear particles using the Radon transform

Rotation Estimation from Catadioptric Lines without Correspondences using the Radon Transform , Harmonic Analysis and Conformal Geometric Algebra

Radon transform and Conformal Geometric Algebra with lines

Similar Documents

Radon Transform and Harmonical Analysis Using Lines for 3D Rotation Estimation without Correpondences from Omnidirectional Vision

A Geometric Invariant Shape Descriptor Based on the Radon, Fourier, and Mellin Transforms

Rectified catadioptric stereo sensors

3D Rotation Estimation from Catadioptric Lines without Correspondences using the Radon Transform, Harmonic Analysis and Conformal Geometric Algebra

Blur kernel estimation using the radon transform

Feature extraction using Radon, wavelet and fourier transform

Moving object detection with mobile stereo omni-directional system (SOS) based on motion compensatory inter-frame depth subtraction

Analysis of wear particles using the Radon transform

Rotation Estimation from Catadioptric Lines without Correspondences using the Radon Transform , Harmonic Analysis and Conformal Geometric Algebra

Radon transform and Conformal Geometric Algebra with lines