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Abstract

In this paper we propose an affine invariant evolution scheme for discrete pointsets. A discrete parametrisation for pointsets in terms of vector distributions is introduced. Smoothing such a parametrisation with an affine invariant arclength-based Gaussian generates an affine invariant scale-space of curves. We demonstrate this for several pointsets. It is shown that self-intersections are preserved in the evolution process.

ESPRIT Basic Research Action ”Viewpoint Invariant Visual Acquisition” (VIVA), grantnr. EC-BRA-6448

Netherlands Organisation for Scientific Research (NWO), grant nr. 910–408–09–1.

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References

  1. Bart M. ter Haar R.omeny, editor. Geometry-Driven Diffusion in Computer Vision. Computational Imaging and Vision. Kluwer Academic Publishers, Dordrecht, 1994. ISBN 0–7923–3087–0.

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© 1995 Springer-Verlag London Limited

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Geraets, R., Salden, A.H., ter Haar Romeny, B.M., Viergever, M.A. (1995). Affine Scale-Space for Discrete Pointsets. In: Kappen, B., Gielen, S. (eds) Neural Networks: Artificial Intelligence and Industrial Applications. Springer, London. https://doi.org/10.1007/978-1-4471-3087-1_30

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  • DOI: https://doi.org/10.1007/978-1-4471-3087-1_30

  • Publisher Name: Springer, London

  • Print ISBN: 978-3-540-19992-2

  • Online ISBN: 978-1-4471-3087-1

  • eBook Packages: Springer Book Archive

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