Example data structures

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High-Performance Open-Source Archive

library(cardinalR)
library(langevitour)

This illustrates a variety of example data structures that can be generated. These synthetic datasets represent common and challenging shapes found.

A simple spherical Gaussian cluster with very small variance in \(4\text{-}D\) space.

gau_data <- gen_gaussian(n = 500, p = 4, s = diag(4) * 0.01)

langevitour(gau_data, pointSize = 2)

Uniform points in a hypercube with a hollow center, useful for detecting voids or gaps.

cube_grd_data <- gen_unifcubehole(n = 5000, p = 6)

langevitour(cube_grd_data, pointSize = 2)

A curvilinear loop structure that forms a closed cycle in \(4\text{-}D\).

curvy_cyc_data <- gen_curvycycle(n = 500, p = 4) 

langevitour(curvy_cyc_data, pointSize = 2)

A tree-like curvilinear structure with six branches in \(6\text{-}D\), ideal for studying bifurcation patterns.

tree_data <- gen_orgcurvybranches(n = 600, p = 5, k = 6) 

langevitour(tree_data, pointSize = 2)

A pointed cone shape in \(4\text{-}D\), controlled by height and radius ratio.

cone_data <- gen_cone(n = 500, h = 5, ratio = 0.5) 

langevitour(cone_data, pointSize = 2)

A spiral winding around a conical surface in \(5\text{-}D\) space.

spiral_data <- gen_conicspiral(n = 500, spins = 2)

langevitour(spiral_data, pointSize = 2)

A regularly spaced sphere with high point density, useful for manifold learning.

sphere_data <- gen_gridedsphere(n = 500, p = 4)

langevitour(sphere_data, pointSize = 2)

An S-shaped manifold in \(8\text{-}D\) with a missing section, to evaluate resilience to structural gaps.

scurve_data <- gen_scurvehole(n = 600) 

langevitour(scurve_data, pointSize = 2)

A \(4\text{-}D\) pyramid-shaped structure with a void at the center.

pyr_data <- gen_pyrfrac(n = 1000, p = 4)

langevitour(pyr_data, pointSize = 2)

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