Abstract
The trace transform, a generalisation of the Radon transform, consists of tracing an image with straight lines along which certain functionals of the image function are calculated. Different functionals that can be used may be invariant to different transformations of the image. The paper presents the properties the functionals used must have for the constructed features to be invariant to rotation, translation and scaling, and for the recovery of the transformation parameters.
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References
S R Deans, 1981. “Hough Transform from the Radon Transform”. IEEE PAMI, Vol 3, pp 185–188.
S R Deans, 1983. “The Radon Transform and some of its applications”. Krieger Publishing Company.
P Toft, 1996. “The Radon Transform: Theory and Implementation”. PhD thesis, Technical University of Denmark.
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© 1998 Springer-Verlag London Limited
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Petrou, M., Kadyrov, A. (1998). The Trace transform and its applications. In: Marshall, S., Harvey, N.R., Shah, D. (eds) Noblesse Workshop on Non-Linear Model Based Image Analysis. Springer, London. https://doi.org/10.1007/978-1-4471-1597-7_33
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DOI: https://doi.org/10.1007/978-1-4471-1597-7_33
Publisher Name: Springer, London
Print ISBN: 978-3-540-76258-4
Online ISBN: 978-1-4471-1597-7
eBook Packages: Springer Book Archive