orx-math/org.openrndr.extra.math.eigenmodes/CycleEigenMode

CycleEigenMode

data class CycleEigenMode(val eigenvalue: Double, val frequencyRatio: Double, val n: Int, val values: DoubleArray)(source)

One eigenmode of n points arranged around a closed curve, as produced by extractCycleEigenModes -- the discrete, boundary-only analogue of GridEigenMode. These are the eigenvectors of the cycle graph Laplacian, i.e. a generalization of the sine/cosine basis used by classical Fourier shape descriptors to a curve sampled at non-uniform detail.

Constructors

CycleEigenMode

constructor(eigenvalue: Double, frequencyRatio: Double, n: Int, values: DoubleArray)

Properties

eigenvalue

val eigenvalue: Double

The Laplacian eigenvalue of this mode; larger means higher spatial frequency.

frequencyRatio

val frequencyRatio: Double

This mode's frequency relative to the fundamental mode, i.e. sqrt(eigenvalue / fundamentalEigenvalue). Mode 0 is always the trivial, patternless zero-eigenvalue constant mode (frequencyRatio == 0.0); the fundamental is mode 1.

val n: Int

Number of points/nodes around the curve.

values

val values: DoubleArray

The mode shape, one value per node in order around the curve.

Functions

equals

open operator override fun equals(other: Any?): Boolean

hashCode

open override fun hashCode(): Int

value

fun value(t: Double): Double

Circularly, linearly samples this mode at node coordinate t, which wraps around modulo n (so both -0.5 and n - 0.5 land halfway between the last and first node).