ETRep (version 1.2.1)

intrinsic_mean_tube: Calculate Intrinsic Mean of ETReps

Description

Computes the intrinsic mean of a set of ETReps. The computation involves transforming the non-convex hypertrumpet space into a convex space, calculating the mean in this transformed space, and mapping the result back to the original hypertrumpet space.

Usage

intrinsic_mean_tube(tubes, type = "sizeAndShapeAnalysis", plotting = TRUE)

Value

List representing the mean ETRep.

Arguments

tubes

List of ETReps.

type

String, "ShapeAnalysis" or "sizeAndShapeAnalysis" (default is "sizeAndShapeAnalysis").

plotting

Logical, enables visualization of the mean (default is TRUE).

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")

Examples

#Example 1
# Load tubes
data("tube_A")
data("tube_B")
intrinsic_mean<-
  intrinsic_mean_tube(tubes = list(tube_A,tube_B),
                      plotting = FALSE)
# Plotting
if (FALSE) {
plot_Elliptical_Tube(tube = intrinsic_mean,
                     plot_frames = FALSE,
                     plot_skeletal_sheet = FALSE,
                     plot_r_project = FALSE,
                     plot_r_max = FALSE,
                     add = FALSE)
 }

#Example 2
data("simulatedColons")
intrinsic_mean<-
  intrinsic_mean_tube(tubes = simulatedColons,
                      plotting = FALSE)
# Plotting
if (FALSE) {
plot_Elliptical_Tube(tube = intrinsic_mean,
                     plot_frames = FALSE,
                     plot_skeletal_sheet = FALSE,
                     plot_r_project = FALSE,
                     plot_r_max = FALSE,
                     add = FALSE)
 }