Parametric medial shape representation in 3-D via the Poisson partial differential equation with non-linear boundary conditions.

Parametric medial shape representation in 3-D via the Poisson partial differential equation with non-linear boundary conditions. Research Abstract Details 

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Parametric medial shape representation in 3-D via the Poisson partial differential equation with non-linear boundary conditions. Abstract Text:

Paul A Yushkevich,Hui Zhang,James C Gee,

This paper presents a new shape representation for a special class of 3-D objects. In a generative approach to object modeling inspired by m-reps, skeletons of objects are explicitly defined as continuous manifolds and boundaries are derived from the skeleton by a process that involves solving a Poisson PDE with a non-linear boundary condition. This formulation helps satisfy the equality constraints that are imposed on the parameters of the representation by rules of medial geometry. One benefit of the new approach is the ability to represent different instances of an anatomical structure using a common parametrization domain, simplifying the problem of computing correspondences between instances. Another benefit is the ability to continuously parameterize the volumetric region enclosed by the representation's boundary in a one-to-one and onto manner, in a way that preserves two of the three coordinates of the parametrization along vectors normal to the boundary. These two features make the new representation an attractive candidate for statistical analysis of shape and appearance. In this paper, the representation is carefully defined and the results of fitting the hippocampus in a deformable templates framework are presented.

Parametric medial shape representation in 3-D via the Poisson partial differential equation with non-linear boundary conditions. Publishing Authors By Initials

PA Yushkevich,H Zhang,JC Gee,

For similar investigative techniques: epidemiologic methods: statistics as topic: sensitivity and specificity research abstracts see: investigative techniques: epidemiologic methods: statistics as topic: sensitivity and specificity research

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Parametric medial shape representation in 3-D via the Poisson partial differential equation with non-linear boundary conditions. Journal Published:

PUBLICATION TYPE: Research Support, N.I.H., Extr

Journal: Information processing in medical imaging : procee

VOLUME: 19

Page Numbers: 162-73

Journal Abbreviation:

ISSN: 1011-2499

DAY: 3

MONTH: 12

YEAR: 2005

Parametric medial shape representation in 3-D via the Poisson partial differential equation with non-linear boundary conditions. Information

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LANGUAGE: eng

NlmUniqueID: 9216871

Parametric medial shape representation in 3-D via the Poisson partial differential equation with non-linear boundary conditions. Keywords Mesh Terms:

KEYWORDS: Sensitivity and Specificity

MESH TERMS: methods

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Grant and Affiliation Information for Parametric medial shape representation in 3-D via the Poisson partial differential equation with non-linear boundary conditions.

AFFILIATION: Department of Radiology, University of Pennsylvania, USA.

Country: Germany

AGENCY: United States NINDS

GRANT: NS045839

ACRONYM: NS

MEDLINETA: Inf Process Med Imaging

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