Skip to main content
×
Home
    • Aa
    • Aa
  • Access
  • Cited by 17
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Frosini, Patrizio 2015. G-invariant persistent homology. Mathematical Methods in the Applied Sciences, Vol. 38, Issue. 6, p. 1190.


    Biasotti, Silvia Falcidieno, Bianca Giorgi, Daniela and Spagnuolo, Michela 2014. Mathematical Tools for Shape Analysis and Description. Synthesis Lectures on Computer Graphics and Animation, Vol. 6, Issue. 2, p. 1.


    Mémoli, Facundo 2011. A spectral notion of Gromov–Wasserstein distance and related methods. Applied and Computational Harmonic Analysis, Vol. 30, Issue. 3, p. 363.


    Mémoli, Facundo 2011. Gromov–Wasserstein Distances and the Metric Approach to Object Matching. Foundations of Computational Mathematics, Vol. 11, Issue. 4, p. 417.


    Reuter, Martin 2010. Hierarchical Shape Segmentation and Registration via Topological Features of Laplace-Beltrami Eigenfunctions. International Journal of Computer Vision, Vol. 89, Issue. 2-3, p. 287.


    Donatini, Pietro and Frosini, Patrizio 2009. Natural pseudo-distances between closed curves. Forum Mathematicum, Vol. 21, Issue. 6,


    Memoli, Facundo 2009. 2009 IEEE 12th International Conference on Computer Vision Workshops, ICCV Workshops. p. 256.

    Biasotti, S. Giorgi, D. Spagnuolo, M. and Falcidieno, B. 2008. Size functions for comparing 3D models. Pattern Recognition, Vol. 41, Issue. 9, p. 2855.


    Biasotti, S. Cerri, A. Frosini, P. Giorgi, D. and Landi, C. 2008. Multidimensional Size Functions for Shape Comparison. Journal of Mathematical Imaging and Vision, Vol. 32, Issue. 2, p. 161.


    Ishkhanov, Tigran 2008. 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops. p. 1.

    Cerri, A. Ferri, M. and Giorgi, D. 2006. Retrieval of trademark images by means of size functions. Graphical Models, Vol. 68, Issue. 5-6, p. 451.


    Frosini, Patrizio and Pittore, Massimiliano 1999. New methods for reducing size graphs. International Journal of Computer Mathematics, Vol. 70, Issue. 3, p. 505.


    Frosini, Patrizio 1996. Connections between Size Functions and Critical Points. Mathematical Methods in the Applied Sciences, Vol. 19, Issue. 7, p. 555.


    Verri, Alessandro and Uras, Claudio 1996. Metric-topological approach to shape representation and recognition. Image and Vision Computing, Vol. 14, Issue. 3, p. 189.


    Uras, C. and Verri, A. 1994. Proceedings of the 12th IAPR International Conference on Pattern Recognition (Cat. No.94CH3440-5). Vol. 2, Issue. , p. 334.

    Verri, A. Uras, C. Frosini, P. and Ferri, M. 1993. [1993] Proceedings IEEE Workshop on Qualitative Vision. p. 89.

    Verri, A. Uras, C. Frosini, P. and Ferri, M. 1993. On the use of size functions for shape analysis. Biological Cybernetics, Vol. 70, Issue. 2, p. 99.


    ×
  • Bulletin of the Australian Mathematical Society, Volume 42, Issue 3
  • December 1990, pp. 407-415

A distance for similarity classes of submanifolds of a Euclidean space

  • Patrizio Frosini (a1)
  • DOI: http://dx.doi.org/10.1017/S0004972700028574
  • Published online: 01 April 2009
Abstract

A distance is defined on the quotient of the set of submanifolds of a Euclidean space, with respect to similarity. It is then related to a previously defined function which captures the metric behaviour of paths.

    • Send article to Kindle

      To send this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      A distance for similarity classes of submanifolds of a Euclidean space
      Your Kindle email address
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about sending content to Dropbox.

      A distance for similarity classes of submanifolds of a Euclidean space
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about sending content to Google Drive.

      A distance for similarity classes of submanifolds of a Euclidean space
      Available formats
      ×
Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[2]L. Bers , ‘Uniformization, moduli and Kleinian groups’, Bull. London Math. Soc. 4 (1972), 257300.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax