Radial radon transform dedicated to micro-object localization from radio frequency ultrasound signal

Abstract

Abstract-In this paper we describe a method for automatic electrode localization in soft tissue from radio-frequency signal. The method is exploiting a property of the Radon Transform (RT) that allows to localize a line-segment in 3D data. The method directly processes the radio-frequency (RF) signal provided by the ultrasound (US) probe. Thus, there's no need for ultrasound image reconstruction. The method is able to detect line-segments that are discontinuous. The low computational cost allows to process data in real-time. The algorithm was tested on a radiofrequency signal acquired by scanning a phantom containing a thin metal electrode of 150µm in diameter. The experiments show that the developed technique is capable of reliably finding an arbitrarily positioned line-segment in a 3D image.

P3A-3 Comparison of Methods for Tool Localization in Biological Tissue from 3D Ultrasound Data

“…If a 3D image contains a negligibly thin electrode, the PIP transformation P I has maximum when the line of integration coincides with the electrode axis [5]. Let (u max , v max , α max , β max ) be the point, where P I reaches the maximum.…”

“…1 depicts an example of a 3D ultrasound image of a polyvinyl alcohol (PVA) cryogel phantom [4] containing an electrode in water. In publications [5], [6] we presented two algorithms that permit to automatically determine the electrode position from 3D ultrasound images. First method is based on maximizing the parallel projection of input 3D image.…”

A hybrid camera- and ultrasound-based approach for needle localization and tracking using a 3D motorized curvilinear ultrasound probe

“…For example, principle component analysis (PCA) has been used to detect the needle in 3D ultrasound volumes (Novotny et al, 2003). Barva et al (2004) proposed the use of the Radon transform to localize the needle based on radio-frequency (RF) signals acquired by a 3D ultrasound probe. Novotny et al (2007) developed a real-time algorithm to track straight surgical instruments in 3D ultrasound volumes.…”

A Robust Watermarking Against Shearing Based On Improved S-Radon Transformation

“…Milanfar [15] exploits the shift property of Radon transformation to image processing. Barva et al [16] present a method for automatic electrode localization in soft tissue from radio-frequency signal, by exploiting a property of the Radon Transform. Challenor et al [17] generalize the two dimensional Radon transform to three dimensions and use it to study atmospheric and ocean dynamics phenomena.…”

“…When s is zero, the g function has the The Radon Transform computation The integration along the line whose normal vector is in θ direction and that passes the origin of ) , ( y x coordinate means the integration of ) , ( y x f only at the points satisfying the previous equation. With the help ofthe Dirac "function" δ , which is zero for every argument except to 0 and its integral is one, line with normal vector in θ direction and distance s from the origin is satisfying the following equation:So the general equation of the Radon transformation is acquired:[10,11,15,16, 18] is the Radon transformation, ρ is a filter and transformation is a kind of projective transformation of linear integration, It is the Radon transformation of linear integration projection for the signal wigner transformation, as shown in the Figure3.…”