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ETRep (version 1.2.1)

intrinsic_Transformation_Elliptical_Tubes: Intrinsic Transformation Between Two ETReps

Description

Performs an intrinsic transformation from one ETRep to another, preserving essential e-tube properties such as the Relative Curvature Condition (RCC) while avoiding local self-intersections.

Usage

intrinsic_Transformation_Elliptical_Tubes(
  tube1,
  tube2,
  type = "sizeAndShapeAnalysis",
  numberOfSteps = 5,
  plotting = TRUE,
  colorBoundary = "blue"
)

Value

List containing intermediate ETReps.

Arguments

tube1

List containing details of the first ETRep.

tube2

List containing details of the second ETRep.

type

String defining the type of analysis as sizeAndShapeAnalysis or shapeAnalysis

numberOfSteps

Integer, number of transformation steps.

plotting

Logical, enables visualization during transformation (default is TRUE).

colorBoundary

String defining the color of the e-tube

References

Taheri, M., Pizer, S. M., & Schulz, J. (2024). "The Mean Shape under the Relative Curvature Condition." arXiv. tools:::Rd_expr_doi("10.48550/arXiv.2404.01043")

Taheri Shalmani, M. (2024). "Shape Statistics via Skeletal Structures." University of Stavanger. tools:::Rd_expr_doi("10.13140/RG.2.2.34500.23685")