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A Linear Time Algorithm for Computing the Euclidean Distance Transform in Arbitrary Dimensions

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Book cover Information Processing in Medical Imaging (IPMI 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2082))

Abstract

A sequential algorithm is presented for computing the Euclidean distance transform of a k-dimensional binary image in time linear in the total number of voxels. The algorithm may be of practical value since it is relatively simple and easy to implement and it is relatively fast (not only does it run in linear time but the time constant is small).

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References

  1. H Breu, J Gil, D Kirkpatrick, M Werman. Linear time Euclidean distance transform algorithms. IEEE Trans. Pattern Anal. Mach. Intell., 17: 529–533, 1995.

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© 2001 Springer-Verlag Berlin Heidelberg

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Maurer, C.R., Raghavan, V., Qi, R. (2001). A Linear Time Algorithm for Computing the Euclidean Distance Transform in Arbitrary Dimensions. In: Insana, M.F., Leahy, R.M. (eds) Information Processing in Medical Imaging. IPMI 2001. Lecture Notes in Computer Science, vol 2082. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45729-1_35

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  • DOI: https://doi.org/10.1007/3-540-45729-1_35

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42245-7

  • Online ISBN: 978-3-540-45729-9

  • eBook Packages: Springer Book Archive

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