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Unsupervised clustering using diffusion maps for local shape modelling
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Valdes-Amaro, Daniel and Bhalerao, Abhir (2009) Unsupervised clustering using diffusion maps for local shape modelling. In: 12th International Conference on Computer Aided Systems Theory (EUROCAST 2009), Spain, February 15-20, 2009. Published in: Lecture Notes in Computer Science, Vol.5717 pp. 342-349.
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Official URL: http://dx.doi.org/10.1007/978-3-642-04772-5_45
Abstract
Understanding the biological variability of anatomical objects, is essential for statistical shape analysis and to distinguish between healthy and pathological structures. Statistical Shape Modelling (SSM) can be used to analyse the shapes of sub-structures aiming to describe their variation across individual objects and between groups of them [1]. However, when the shapes exhibit; self-similarity or are intrinsically fractal, such as often encountered in biomedical problems, global shape models result in highly non-linear shape spaces and it can be difficult; to determine a compact set; of modes of variation. In this work, we present, a method for local shape, modelling and analysis that uses Diffusion Maps [2] for non-linear, spectral clustering to build a set of linear shape spaces for such analysis. The method uses a curvature scale-space (CSS) description of shape to partition them into sets of self-similar parts and these are then linearly mixed to more compactly model the global shape.
| Item Type: | Conference Item (Paper) |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software |
| Divisions: | Faculty of Science > Computer Science |
| Series Name: | Lecture Notes in Computer Science |
| Journal or Publication Title: | Lecture Notes in Computer Science |
| Publisher: | Springer |
| ISBN: | 978-3-642-04771-8 |
| ISSN: | 0302-9743 |
| Editor: | MorenoDiaz, R and Pichler, F and QuesadaArencibia, A |
| Date: | 2009 |
| Volume: | Vol.5717 |
| Number of Pages: | 8 |
| Page Range: | pp. 342-349 |
| Identification Number: | 10.1007/978-3-642-04772-5_45 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | Mexican National Research Council for Science and Technology (CONACyT) |
| Conference Paper Type: | Paper |
| Title of Event: | 12th International Conference on Computer Aided Systems Theory (EUROCAST 2009) |
| Type of Event: | Conference |
| Location of Event: | Spain |
| Date(s) of Event: | February 15-20, 2009 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/6530 |
Data sourced from Thomson Reuters' Web of Knowledge
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