Towards tomography with random orientation

Fawaz Hjouj

doi:10.1145/3379299.3379309

Towards tomography with random orientation

Fawaz Hjouj

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

15 Scopus citations

Abstract

We consider the two-dimensional parallel beam Tomography problem in which both the object being imaged and the projection directions are unknown. Specifically: Given unsorted set of Radon projections that correspond to angles φ_j = 0^｡,1^｡ ... , 179^｡ . Our main goal is to determine (align) the projections with their angles. We introduce a type of Local Radon Transform from which we propose a distance formula between any two Radon projections. We solve the problem by combining the second order Geometric Moments of these projections together with this measure of distance. We validate our framework on synthetic images and real images.

Original language	British English
Title of host publication	DMIP 2019 - Proceedings of 2019 2nd International Conference on Digital Medicine and Image Processing
Pages	49-53
Number of pages	5
ISBN (Electronic)	9781450376983
DOIs	https://doi.org/10.1145/3379299.3379309
State	Published - 13 Nov 2019
Event	2nd International Conference on Digital Medicine and Image Processing, DMIP 2019 - Shanghai, China Duration: 13 Nov 2019 → 15 Nov 2019

Publication series

Name	ACM International Conference Proceeding Series

Conference

Conference	2nd International Conference on Digital Medicine and Image Processing, DMIP 2019
Country/Territory	China
City	Shanghai
Period	13/11/19 → 15/11/19

Keywords

Geometric moments
Local radon transform
Radon transform
Tomography
Unknown angles of Projections

Access to Document

10.1145/3379299.3379309

Cite this

@inproceedings{173030a8d33e49c884a16d27cb3e5d5b,

title = "Towards tomography with random orientation",

abstract = "We consider the two-dimensional parallel beam Tomography problem in which both the object being imaged and the projection directions are unknown. Specifically: Given unsorted set of Radon projections that correspond to angles φj = 0｡,1｡ ... , 179｡ . Our main goal is to determine (align) the projections with their angles. We introduce a type of Local Radon Transform from which we propose a distance formula between any two Radon projections. We solve the problem by combining the second order Geometric Moments of these projections together with this measure of distance. We validate our framework on synthetic images and real images.",

keywords = "Geometric moments, Local radon transform, Radon transform, Tomography, Unknown angles of Projections",

author = "Fawaz Hjouj",

note = "Publisher Copyright: {\textcopyright} 2019 Association for Computing Machinery.; 2nd International Conference on Digital Medicine and Image Processing, DMIP 2019 ; Conference date: 13-11-2019 Through 15-11-2019",

year = "2019",

month = nov,

day = "13",

doi = "10.1145/3379299.3379309",

language = "British English",

series = "ACM International Conference Proceeding Series",

pages = "49--53",

booktitle = "DMIP 2019 - Proceedings of 2019 2nd International Conference on Digital Medicine and Image Processing",

}

Hjouj, F 2019, Towards tomography with random orientation. in DMIP 2019 - Proceedings of 2019 2nd International Conference on Digital Medicine and Image Processing. ACM International Conference Proceeding Series, pp. 49-53, 2nd International Conference on Digital Medicine and Image Processing, DMIP 2019, Shanghai, China, 13/11/19. https://doi.org/10.1145/3379299.3379309

TY - GEN

T1 - Towards tomography with random orientation

AU - Hjouj, Fawaz

PY - 2019/11/13

Y1 - 2019/11/13

N2 - We consider the two-dimensional parallel beam Tomography problem in which both the object being imaged and the projection directions are unknown. Specifically: Given unsorted set of Radon projections that correspond to angles φj = 0｡,1｡ ... , 179｡ . Our main goal is to determine (align) the projections with their angles. We introduce a type of Local Radon Transform from which we propose a distance formula between any two Radon projections. We solve the problem by combining the second order Geometric Moments of these projections together with this measure of distance. We validate our framework on synthetic images and real images.

AB - We consider the two-dimensional parallel beam Tomography problem in which both the object being imaged and the projection directions are unknown. Specifically: Given unsorted set of Radon projections that correspond to angles φj = 0｡,1｡ ... , 179｡ . Our main goal is to determine (align) the projections with their angles. We introduce a type of Local Radon Transform from which we propose a distance formula between any two Radon projections. We solve the problem by combining the second order Geometric Moments of these projections together with this measure of distance. We validate our framework on synthetic images and real images.

KW - Geometric moments

KW - Local radon transform

KW - Radon transform

KW - Tomography

KW - Unknown angles of Projections

UR - https://www.scopus.com/pages/publications/85082523684

U2 - 10.1145/3379299.3379309

DO - 10.1145/3379299.3379309

M3 - Conference contribution

AN - SCOPUS:85082523684

T3 - ACM International Conference Proceeding Series

SP - 49

EP - 53

BT - DMIP 2019 - Proceedings of 2019 2nd International Conference on Digital Medicine and Image Processing

T2 - 2nd International Conference on Digital Medicine and Image Processing, DMIP 2019

Y2 - 13 November 2019 through 15 November 2019

ER -

Towards tomography with random orientation

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Keywords

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