nonIntrinsic_Transformation_Elliptical_Tubes: Non-Intrinsic Transformation Between Two ETReps

In ETRep: Analysis of Elliptical Tubes Under the Relative Curvature Condition

Non-Intrinsic Transformation Between Two ETReps

Description

Performs a non-intrinsic transformation from one ETRep to another. This approach is inspired by robotic arm transformations and does not account for the Relative Curvature Condition (RCC).

Usage

nonIntrinsic_Transformation_Elliptical_Tubes(
  tube1,
  tube2,
  type = "sizeAndShapeAnalysis",
  numberOfSteps = 4,
  plotting = TRUE,
  colorBoundary = "blue",
  add = FALSE
)

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
add	Logical, enables overlay plotting

Value

List containing intermediate ETReps.

References

Taheri, M., Pizer, S. M., & Schulz, J. (2024). "The Mean Shape under the Relative Curvature Condition." arXiv. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.48550/arXiv.2404.01043")}

Taheri Shalmani, M. (2024). "Shape Statistics via Skeletal Structures." University of Stavanger. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.13140/RG.2.2.34500.23685")}

Examples

# Load tubes
data("tube_A")
data("tube_B")
numberOfSteps <- 10
transformation_Tubes<-
  nonIntrinsic_Transformation_Elliptical_Tubes(
    tube1 = tube_A,tube2 = tube_B,
    numberOfSteps = numberOfSteps,
    plotting = FALSE)
# Plotting
## Not run: 
for (i in 1:length(transformation_Tubes)) {
  plot_Elliptical_Tube(tube = transformation_Tubes[[i]],
  plot_frames = FALSE,plot_skeletal_sheet = FALSE
  ,plot_r_project = FALSE,
  plot_r_max = FALSE,
  add = FALSE)
}
 
## End(Not run)

ETRep documentation built on Nov. 5, 2025, 6:34 p.m.