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Segmentation and Length Estimation of 3D Discrete Curves

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Digital and Image Geometry

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2243))

Abstract

We propose in this paper an arithmetical definition of 3-D discrete lines as well as an efficient construction algorithm. From this notion, an algorithm of 3-D discrete lines segmentation has been developed. It is then used to calculate the length of a discrete curve. Ap roof of the multigrid convergence of length estimators is presented.

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© 2001 Springer-Verlag Berlin Heidelberg

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Coeurjolly, D., Debled-Rennesson, I., Teytaud, O. (2001). Segmentation and Length Estimation of 3D Discrete Curves. In: Bertrand, G., Imiya, A., Klette, R. (eds) Digital and Image Geometry. Lecture Notes in Computer Science, vol 2243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45576-0_18

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  • DOI: https://doi.org/10.1007/3-540-45576-0_18

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  • Print ISBN: 978-3-540-43079-7

  • Online ISBN: 978-3-540-45576-9

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