Thermoacoustic Tomography and the Circular Radon Transform: Exact Inversion Formula

Haltmeier, Markus; Scherzer, Otmar; Burgholzer, Peter; Nuster, Robert; Paltauf, Guenther

doi:10.1142/s0218202507002054

Cited by 83 publications

(76 citation statements)

References 32 publications

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“…Hence, we can reconstruct A by inverting the spherical Radon transform. We refer the reader to the papers [1,2,22,28,19,20,3] for uniqueness of the reconstruction and back-projection inversion procedures. See also [23] and [26] where the half-space problem has been considered.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Mathematical Modeling in Photoacoustic Imaging of Small Absorbers

Ammari¹,

Bossy²,

Jugnon³

et al. 2010

SIAM Rev.

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This paper is devoted to mathematical modelling in photo-acoustic imaging of small absorbers. We propose a new method for reconstructing small absorbing regions inside a bounded domain from boundary measurements of the induced acoustic signal. We also show the focusing property of the backpropagated acoustic signal. Indeed, we provide two different methods for locating a targeted optical absorber from boundary measurements of the induced acoustic signal. The first method consists of a MUltiple Signal Classification (MUSIC) type algorithm and the second one uses a multi-frequency approach. We also show results of computational experiments to demonstrate efficiency of the algorithms.

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Section: Mathematical Formulationmentioning

confidence: 99%

Mathematical Modeling in Photoacoustic Imaging of Small Absorbers

Ammari¹,

Bossy²,

Jugnon³

et al. 2010

SIAM Rev.

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“…Radon transform and 3D image reconstruction is illustrated in many applications, i.e., computed tomography [15] and thermoacoustic tomography [39]. Obtaining tomographic image from projections data and conversion has been introduced in [15,[18][19][20]40,41].…”

Section: Radon Transform and 3d Imaging Reconstructionmentioning

confidence: 99%

3D Imaging Millimeter Wave Circular Synthetic Aperture Radar

Zhang

Cao

2017

Preprint

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Abstract:In this paper, a new millimeter wave 3D imaging radar is proposed. The user just needs to move the radar along a circular track, a high resolution 3D imaging can be generated. The proposed radar uses the movement of itself to synthesize a large aperture in both the azimuth and elevation directions. It can utilize inverse Radon transform to resolve 3D imaging. To improve the sensing result, compressed sensing approach is further investigated. The simulation and experimental result further illustrated the design. Because a single transceiver circuit is needed, a light, affordable and high resolution 3D mmWave imaging radar is illustrated in the paper.

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“…The tomographic images are generated from PA signals by using a reconstruction algorithm based on the inversely solving the photoacoustic wave equation. Several reconstruction algorithms, such as back projection [23], Radon transform [25], and Fourier-domain algorithms [26], have been developed for PAT. The spatial resolution and the penetration depth of a PAT system are scalable with the ultrasonic frequency.…”

Section: Principles and Implementationsmentioning

confidence: 99%