Representing the shapes of carpals solving boundary value problems by meshless methods

The differences between the chronological age, resulting from the date of birth, and the bone age may indicate an endocrine or growth disorders. The wrist bones, also called the carpal bones, can be used to assess the skeletal maturity of children, i.e., bone age. One possibility to represent shapes...

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Bibliographic Details
Published inSignal Processing Algorithms, Architectures, Arrangements, and Applications Conference proceedings pp. 28 - 33
Main Author Grabski, Jakub Krzysztof
Format Conference Proceeding
LanguageEnglish
Published Division of Signal Processing and Electronic Systems, Poznan University of Technology (DSPES PUT) 21.09.2022
Subjects
bone age assessment
Bones
Boundary conditions
carpals
global radial basis function collocation method
method of fundamental solutions
Poisson equations
Poisson's equation
Radiography
Shape
Signal processing algorithms
Trefftz method
Wrist
wrist bones
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Summary:The differences between the chronological age, resulting from the date of birth, and the bone age may indicate an endocrine or growth disorders. The wrist bones, also called the carpal bones, can be used to assess the skeletal maturity of children, i.e., bone age. One possibility to represent shapes is to solve a boundary value problem described by the Poisson's equation subject to the Dirichlet boundary condition on the given shape to be represented (boundary of the considered region). This paper proposes three numerical meshless methods, i.e., the Trefftz method, method of fundamental solutions, and global radial basis function collocation method, for the shape representation of the children's wrist bones obtained from hand radiographs. The obtained results are compared.
ISSN:2326-0262
DOI:10.23919/SPA53010.2022.9927986