elliptical_Tube_Euclideanization

Convert an ETRep to a Matrix in the Convex Transformed Space.

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.

Mohsen Taheri

ETRep

Analysis of Elliptical Tubes Under the Relative Curvature
Condition

Mohsen Taheri Shalmani

Jörn Schulz

Stephen M. Pizer

elliptical_Tube_Euclideanization function

<dl><dt>tube</dt>
<dd>A list containing the details of the ETRep.</dd></dl>

Arguments

Convert an ETRep to a Matrix in the Convex Transformed Space. — elliptical_Tube_Euclideanization

<dl>

<dt>tube</dt>
<dd>A list containing the details of the ETRep.</dd>

</dl>

elliptical_Tube_Euclideanization: Convert an ETRep to a Matrix in the Convex Transformed Space.

Description

Usage

Value

Arguments

Examples