ETRep: Analysis of Elliptical Tubes Under the Relative Curvature
Condition
Analysis of elliptical tubes with applications in biological modeling. The package is based on the references: Taheri, M., Pizer, S. M., & Schulz, J. (2024) "The Mean Shape under the Relative Curvature Condition." Journal of Computational and Graphical Statistics <doi:10.1080/10618600.2025.2535600> and arXiv <doi:10.48550/arXiv.2404.01043>. Mohsen Taheri Shalmani (2024) "Shape Statistics via Skeletal Structures", PhD Thesis, University of Stavanger, Norway <doi:10.13140/RG.2.2.34500.23685>. Key features include constructing discrete elliptical tubes, calculating transformations, validating structures under the Relative Curvature Condition (RCC), computing means, and generating simulations. Supports intrinsic and non-intrinsic mean calculations and transformations, size estimation, plotting, and random sample generation based on a reference tube. The intrinsic approach relies on the interior path of the original non-convex space, incorporating the RCC, while the non-intrinsic approach uses a basic robotic arm transformation that disregards the RCC.
| Version: | 1.2.1 | 
| Depends: | R (≥ 4.0.0) | 
| Imports: | rgl, shapes, Morpho, matlib, RSpincalc, rotations, Rvcg, fields, truncnorm, htmlwidgets | 
| Published: | 2025-09-27 | 
| DOI: | 10.32614/CRAN.package.ETRep | 
| Author: | Mohsen Taheri Shalmani  [aut, cre],
  Jörn Schulz [aut],
  Stephen M. Pizer [aut] | 
| Maintainer: | Mohsen Taheri Shalmani  <MohsenTaheriShalmani at gmail.com> | 
| License: | MIT + file LICENSE | 
| URL: | https://github.com/MohsenTaheriShalmani/Elliptical_Tubes | 
| NeedsCompilation: | no | 
| Materials: | NEWS | 
| CRAN checks: | ETRep results | 
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