Biometrics, biomathematics and the morphometric synthesis

DOI10.1007/BF02458311zbMath0855.92002OpenAlexW2025734273MaRDI QIDQ1915183

Fred L. Bookstein

Publication date: 9 February 1997

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458311

zbMATH Keywords

shape spacelandmarksschizophreniamorphometricsthin-plate splinebiological shape variationfocal neuroanatomical anomaliesmultivariate analysis of covariance matrices

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) General biology and biomathematics (92B05)

Related Items (10)

Elliptical affine shape distributions for real normed division algebras ⋮ Bayesian shape analysis of the complex Bingham distribution ⋮ GRID macroscopic growth law and its application to image inference ⋮ Elastic statistical shape analysis of biological structures with case studies: a tutorial ⋮ Data mining in brain imaging ⋮ Modeling shape distributions and inferences for assessing differences in shapes ⋮ Assessing shape differences in populations of shapes using the complex watson shape distribution ⋮ Complex elliptical distributions with application to shape analysis ⋮ Distance-based tests for planar shape ⋮ Estimating diffeomorphic mappings between templates and noisy data: Variance bounds on the estimated canonical volume form

Uses Software

• Edgewarp

Cites Work

• Multivariate interpolation at arbitrary points made simple
• A feature space for edgels in images with landmarks
• Size and shape spaces for landmark data in two dimensions (with discussion)
• Principal warps: thin-plate splines and the decomposition of deformations
• Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
• The statistical analysis of shape data
• A geometrical derivation of the shape density
• Growth-Invariant Discriminant Functions and Generalized Distances
• Size Allometry: Size and Shape Variables with Characterizations of the Lognormal and Generalized Gamma Distributions
• RELATIONS BETWEEN TWO SETS OF VARIATES
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