nonIntrinsic_Distance_Between2tubes

Calculating the non-intrinsic distance between two ETReps

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

nonIntrinsic_Distance_Between2tubes function

<dl><dt>tube1</dt>
<dd>List containing ETRep details.</dd>
<dt>tube2</dt>
<dd>List containing ETRep details.</dd></dl>

Arguments

Calculating the non-intrinsic distance between two ETReps — nonIntrinsic_Distance_Between2tubes

<dl>

<dt>tube1</dt>
<dd>List containing ETRep details.</dd>


<dt>tube2</dt>
<dd>List containing ETRep details.</dd>

</dl>

nonIntrinsic_Distance_Between2tubes: Calculating the non-intrinsic distance between two ETReps

Description

Usage

Value

Arguments

References

Examples