2014
DOI: 10.1007/s10851-014-0521-4
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Profile Detection in Medical and Astronomical Images by Means of the Hough Transform of Special Classes of Curves

Abstract: We develop a formal procedure for the automated recognition of rational and elliptic curves in medical and astronomical images. The procedure is based on the extension of the Hough transform concept to the definition of Hough transform of special classes of algebraic curves. We first introduce a catalogue of curves that satisfy the conditions to be automatically extracted from an image and the recognition algorithm, then we illustrate the power of this method to identify skeleton profiles in clinical X-ray tom… Show more

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Cited by 26 publications
(50 citation statements)
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“…In agreement with our previous experience [18, 19], visual inspection by an experienced nuclear medicine physician always confirmed the reliability of the segmentation algorithm.…”
Section: Methodssupporting
confidence: 91%
“…In agreement with our previous experience [18, 19], visual inspection by an experienced nuclear medicine physician always confirmed the reliability of the segmentation algorithm.…”
Section: Methodssupporting
confidence: 91%
“…Finally, we look for the cell corresponding to the maximum of the accumulator function: the parameter set associated to that cell provides the curve of the family which best approximates the profile of interest in the image. 4,5,7 Several curves and their properties have been presented in Refs. 4, 5, and 13: the Lamet curve, the curve with three convexities, and the conchoid of Slüse have been used to approximate the sternum, the spinal canal and the vertebra profiles, respectively (see Refs.…”
Section: Hough Transform For Algebraic Curvesmentioning
confidence: 99%
“…4, 5, and 13: the Lamet curve, the curve with three convexities, and the conchoid of Slüse have been used to approximate the sternum, the spinal canal and the vertebra profiles, respectively (see Refs. 4,5). To approximate axial sections of long bones, like the humerus and the femurs, the best curve seems to be the ellipse (see Ref.…”
Section: Hough Transform For Algebraic Curvesmentioning
confidence: 99%
“…Here, the aim is to reduce the amount of the dataset to be taken into account. Furthermore, the power of this procedure is then tested on 2-dimensional astronomical and medical real images in [12].…”
Section: Introductionmentioning
confidence: 99%