LIE ANALYSIS SYMBOL

# MultiScaleCakeWaveletStack MultiScaleCakeWaveletStack[orientations, size, { , , n}]
Constructs a multi-scale cake wavelet stack having orientations orientations with dimensions size x size, and the scales going from to using n scales.

## DetailsDetails

• MultiScaleCakeWaveletStack extends CakeWaveletStack by dividing the wavelets (in the Fourier domain) in log-radial direction.
• The radial envelope is defined by: B( )=  ( ) := Bk( ) with al=a0 l sρ, where Bk(x) is the kth order B-spline function, ρ is the radial parameter in the polar coordinates, Nρ is the total number of scales to sample ans sρ > 0 is the step size in log-scale.
• The following options can be given:
•  "Directional" False Whenever the spatial wavelets are single or double headed "Design" "N" Specifies the design constraints for the wavelets "SplineOrder" 3 Specifies the order of the B-Spline that is used to create the wavelets "OverlapFactor" 1 Sets how many B-Splines overlap, thereby not narrowing the angular resolution
• Symmetry in the orientation axes is used whenever possible to limit the use of resources.

## ExamplesExamplesopen allclose all

### Basic Examples  (2)Basic Examples  (2)

Compute a multi scale cake wavelet stack having 12 orientations and 4 scales between = .1 and 0.9

 In:= Out= The shape of the cake wavelets can be modified using options

 In:= Out= To see the individual wavelets

 In:= Out= ### Properties & Relations  (4)Properties & Relations  (4)

CakeWaveletStack OrientationScoreTransform