  A well-known diagnostic imaging modality, termed ultrasound tomography, was
quickly developed for the detection of very small tumors whose sizes are
smaller than the wavelength of the incident pressure wave without ionizing
radiation, compared to the current gold-standard X-ray mammography. Based on
inverse scattering technique, ultrasound tomography uses some material
properties such as sound contrast or attenuation to detect small targets. The
Distorted Born Iterative Method (DBIM) based on first-order Born approximation
is an efficient diffraction tomography approach. Compressed Sensing (CS)
technique was applied to the detection geometry configuration of ultrasound
tomography as a powerful tool for improved image reconstruction quality.
However, this configuration is very difficult to implement in practice.
Inspired of easier hardware implementation of deterministic CS, in this paper,
we propose the chaos measurements in the detection geometry configuration and
the image reconstruction process is implemented using L1 regularization. The
simulation results of the proposed method have demonstrated the high
performance of the proposed approach, the normalized error is approximately 90%
reduced, compared to the conventional approach. Furthermore, with the same
quality, we can save half of number of measurements and only use two iterations
when using the proposed method.
