PERFECT RECONSTRUCTION OF CLASSES OF NON-BANDLIMITED SIGNALS FROM PROJECTIONS WITH UNKNOWN ANGLES

被引：1

作者：

Wang, Renke ^{[1
]}

Alexandru, Roxana ^{[1
]}

Dragotti, Pier Luigi ^{[1
]}

机构：

[1] Imperial Coll London, London, England

来源：

2022 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP) | 2022年

关键词：

2D tomography; point source and angle reconstruction; finite rate of innovation (FRI); sampling theory; FINITE RATE; TOMOGRAPHY;

D O I：

10.1109/ICASSP43922.2022.9746508

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper, we consider the 2D tomography problem for a finite number of point sources, where the line integral projections are taken at unknown angles. We address the problem of recovering the point sources and estimating the projection angles. Using the property of the Radon transform of a point source, which is a signal with Finite Rate of Innovation, we retrieve the projections using the annihilating filter method. The reconstruction method we propose is then able to unveil the 2D geometric information of the projection angles, as well as the locations of the point sources. Finally, we extend the approach to planar polygons.

引用

页码：5877 / 5881

页数：5

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