Bayesian Multiscale Modeling of Closed Curves in Point Clouds

DOI10.1080/01621459.2014.934825zbMath1368.62278OpenAlexW1988877167WikidataQ34768453 ScholiaQ34768453MaRDI QIDQ4975620

Debdeep Pati, Kelvin Gu, David B. Dunson

Publication date: 7 August 2017

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc4275800

zbMATH Keywords

deformationhierarchical modelingfunctional databiomedical imagingcyclic basis

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Bayesian inference (62F15) Biomedical imaging and signal processing (92C55) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Robust and rate-optimal Gibbs posterior inference on the boundary of a noisy image ⋮ The Statistical Face of a Region Under Monsoon Rainfall in Eastern India ⋮ Nonparametric Bayes Models of Fiber Curves Connecting Brain Regions ⋮ Linear models for statistical shape analysis based on parametrized closed curves

Cites Work

• Unnamed Item
• Multi-scale geometric methods for data sets. II: Geometric multi-resolution analysis
• A cyclic basis for closed curve and surface modeling
• Nested and self-adaptive Bézier parameterizations for shape optimization
• Surfaces in computer aided geometric design: A survey with new results
• Developable \((1, n)\)-Bézier surfaces
• The approximation of certain classes of differentiable periodic functions of two variables by Fourier sums
• Active contours without edges
• Statistical Modeling of Curves Using Shapes and Related Features
• Fourier Descriptors for Plane Closed Curves

This page was built for publication: Bayesian Multiscale Modeling of Closed Curves in Point Clouds