Population-based fitting of medial shape models with correspondence optimization

Timothy B. Terriberry, James N. Damon, Stephen M. Pizer, Sarang C. Joshi, Guido Gerig

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    A crucial problem in statistical shape analysis is establishing the correspondence of shape features across a population. While many solutions are easy to express using boundary representations, this has been a considerable challenge for medial representations. This paper uses a new 3-D medial model that allows continuous interpolation of the medial manifold and provides a map back and forth between it and the boundary. A measure defined on the medial surface then allows one to write integrals over the boundary and the object interior in medial coordinates, enabling the expression of important object properties in an object-relative coordinate system. We use these integrals to optimize correspondence during model construction, reducing variability due to the model parameterization that could potentially mask true shape change effects. Discrimination and hypothesis testing of populations of shapes are expected to benefit, potentially resulting in improved significance of shape differences between populations even with a smaller sample size.

    Original languageEnglish (US)
    Title of host publicationInformation Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings
    Pages700-712
    Number of pages13
    Volume4584 LNCS
    StatePublished - 2007
    Event20th International Conference on Information Processing in Medical lmaging, IPMI 2007 - Kerkrade, Netherlands
    Duration: Jul 2 2007Jul 6 2007

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume4584 LNCS
    ISSN (Print)03029743
    ISSN (Electronic)16113349

    Other

    Other20th International Conference on Information Processing in Medical lmaging, IPMI 2007
    CountryNetherlands
    CityKerkrade
    Period7/2/077/6/07

    Fingerprint

    Correspondence
    Optimization
    Relative coordinates
    Population
    Boundary Representation
    Shape Feature
    Shape Analysis
    Small Sample Size
    Masks
    Hypothesis Testing
    Parameterization
    Sample Size
    Discrimination
    3D
    Mask
    Statistical Analysis
    Interpolation
    Interior
    Express
    Interpolate

    ASJC Scopus subject areas

    • Computer Science(all)
    • Biochemistry, Genetics and Molecular Biology(all)
    • Theoretical Computer Science

    Cite this

    Terriberry, T. B., Damon, J. N., Pizer, S. M., Joshi, S. C., & Gerig, G. (2007). Population-based fitting of medial shape models with correspondence optimization. In Information Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings (Vol. 4584 LNCS, pp. 700-712). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4584 LNCS).

    Population-based fitting of medial shape models with correspondence optimization. / Terriberry, Timothy B.; Damon, James N.; Pizer, Stephen M.; Joshi, Sarang C.; Gerig, Guido.

    Information Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings. Vol. 4584 LNCS 2007. p. 700-712 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4584 LNCS).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Terriberry, TB, Damon, JN, Pizer, SM, Joshi, SC & Gerig, G 2007, Population-based fitting of medial shape models with correspondence optimization. in Information Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings. vol. 4584 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4584 LNCS, pp. 700-712, 20th International Conference on Information Processing in Medical lmaging, IPMI 2007, Kerkrade, Netherlands, 7/2/07.
    Terriberry TB, Damon JN, Pizer SM, Joshi SC, Gerig G. Population-based fitting of medial shape models with correspondence optimization. In Information Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings. Vol. 4584 LNCS. 2007. p. 700-712. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
    Terriberry, Timothy B. ; Damon, James N. ; Pizer, Stephen M. ; Joshi, Sarang C. ; Gerig, Guido. / Population-based fitting of medial shape models with correspondence optimization. Information Processing in Medical lmaging - 20th International Conference, IPMI 2007, Proceedings. Vol. 4584 LNCS 2007. pp. 700-712 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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