Valdes-Amaro, Daniel and Bhalerao, Abhir (2009) Unsupervised clustering using diffusion maps for local shape modelling. In: Moreno-Díaz, Roberto and Pichler, Franz, 1936- and Quesada-Arencibia, Alexis, (eds.) Computer Aided Systems Theory : EUROCAST 2009. Lecture Notes in Computer Science, Volume 5717 . Springer Berlin Heidelberg, pp. 342-349. ISBN 9783642047718
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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: | Book Item |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QH Natural history > QH301 Biology T Technology > TA Engineering (General). Civil engineering (General) |
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science |
| Library of Congress Subject Headings (LCSH): | Brain -- Mathematical models, Brain -- Statistical methods, Shapes -- Statistical methods, Image processing |
| Series Name: | Lecture Notes in Computer Science |
| Publisher: | Springer Berlin Heidelberg |
| ISBN: | 9783642047718 |
| ISSN: | 0302-9743 |
| Book Title: | Computer Aided Systems Theory : EUROCAST 2009 |
| Editor: | Moreno-Díaz, Roberto and Pichler, Franz, 1936- and Quesada-Arencibia, Alexis |
| Official Date: | 2009 |
| Dates: | Date Event 2009 Published |
| Volume: | Volume 5717 |
| Number of Pages: | 8 |
| Page Range: | pp. 342-349 |
| DOI: | 10.1007/978-3-642-04772-5_45 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Date of first compliant deposit: | 3 December 2015 |
| Date of first compliant Open Access: | 3 December 2015 |
| Funder: | Consejo Nacional de Ciencia y Tecnología (Mexico) [Mexican 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: | Las Palmas de Gran Canaria, Spain |
| Date(s) of Event: | 15-20 Feb 2009 |
| URI: | https://wrap.warwick.ac.uk/6530/ |
Data sourced from Thomson Reuters' Web of Knowledge
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