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arXiv · 1110.4339

Microlocal analysis of an ultrasound transform with circular source and receiver trajectories

Gaik Ambartsoumian·Venky P. Krishnan·Eric Todd Quinto
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Abstract

In this article, we consider a generalized Radon transform that comes up in ultrasound reflection tomography. In our model, the ultrasound emitter and receiver move at a constant distance apart along a circle. We analyze the microlocal properties of the transform $R$ that arises from this model. As a consequence, we show that for distributions with support sufficiently inside the circle, $R^*R$ is an elliptic pseudodifferential operator of order $-1$ and hence all the singularities of such distributions can be recovered.

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Gaik Ambartsoumian, Venky P. Krishnan, Eric Todd Quinto. 2011-10-19. Microlocal analysis of an ultrasound transform with circular source and receiver trajectories. https://arxiv.org/abs/1110.4339

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