WaveletImagePlot
WaveletImagePlot[dwd]
plots the basis tree of wavelet image coefficients in the DiscreteWaveletData dwd.
WaveletImagePlot[dwd,r]
plots coefficients up to refinement level r.
WaveletImagePlot[dwd,r,ifunc]
applies the image function ifunc to coefficients and wavelet indexes before plotting.
Details and Options
- WaveletImagePlot assembles a single image using a pyramid of images.
- WaveletImagePlot arranges coefficients in the same way as WaveletMatrixPlot.
- WaveletImagePlot[dwd] is equivalent to WaveletImagePlot[dwd,Automatic], corresponding to the basis of coefficients used in the InverseWaveletTransform.
- The wavelet indices used in the Automatic setting are given by dwd["BasisIndex"].
- The dwd should be generated from image data and produced by DiscreteWaveletTransform, DiscreteWaveletPacketTransform, or LiftingWaveletTransform.
- WaveletImagePlot[dwd,r] plots basis coefficient images up to refinement level r when dwd comes from DiscreteWaveletTransform or LiftingWaveletTransform.
- WaveletImagePlot[dwd,r] plots all coefficient images at refinement level r when dwd comes from DiscreteWaveletPacketTransform.
- In WaveletImagePlot[dwd,r,ifunc], each ifunc[coefi,windi] should yield an Image with the same dimensions as coefi.
- WaveletImagePlot has the same options as Image, with the following additions and changes:
-
BaseStyle Black what base color to use between images PlotLayout Automatic what layout to use for the plot - Possible settings for PlotLayout include: "Pyramid" and "Grid".
- BaseStyle is used to specify the color of pixels to use at coefficient boundaries.
- With the setting Method->"InverseTransform", the inverse transform of each coefficient array will be plotted.
- WaveletImagePlot returns an Image object.
Examples
open allclose allBasic Examples (2)
Scope (9)
Data (5)
DiscreteWaveletTransform of image data:
Plot image wavelet coefficients in a hierarchical grid:
The plotted coefficients are the Automatic coefficients used in the inverse transform:
Use WaveletImagePlot[dwd,r] to plot coefficients only up to refinement level r:
The hierarchical layout corresponds to the tree structure of the wavelet coefficients:
DiscreteWaveletPacketTransform of image data:
The DiscreteWaveletData object contains a full tree of coefficients at each level:
Default Automatic coefficients for packet transform correspond to the highest refinement level:
WaveletBestBasis computes a different Automatic tree of coefficients:
Specify an image function f to apply to wavelet coefficients before plotting:
By default, ImageAdjust[ImageApply[Abs,#]& is applied:
Options (4)
ImageSize (1)
Specify the size of the displayed image:
The pixel dimensions of the image are not affected by ImageSize:
Method (2)
Inverse transform each coefficient before plotting:
Inverse transform coefficients from stationary wavelet transform:
Inverse transform coefficients from lifting wavelet transform:
Choose which channel to plot in multichannel Image:
Properties & Relations (6)
WaveletImagePlot returns an Image object:
Pixel dimensions of generated images depend on padding, wavelet, and refinement level:
The generated image is generally larger than the original data:
WaveletImagePlot plots image wavelet coefficients in a hierarchical grid layout:
dwd[…,"Image"] gives each coefficient as a separate image:
WaveletImagePlot plots the Automatic coefficients used in the inverse transform:
WaveletBestBasis selects a different default tree of coefficients:
WaveletMatrixPlot plots matrix wavelet coefficients in a hierarchical grid:
WaveletScalogram plots vector coefficients with numerical magnitude indicated by color:
WaveletListPlot plots vector coefficients with a common horizontal or vertical axis:
Possible Issues (3)
Generated images may be saturated if a custom image function f is specified:
Compose the custom image function with ImageAdjust:
Wavelet coefficients from stationary wavelet transform cannot be plotted using pyramid layout:
Pyramid layout cannot be constructed for inverse transformed wavelet coefficients:
Text
Wolfram Research (2010), WaveletImagePlot, Wolfram Language function, https://reference.wolfram.com/language/ref/WaveletImagePlot.html.
CMS
Wolfram Language. 2010. "WaveletImagePlot." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/WaveletImagePlot.html.
APA
Wolfram Language. (2010). WaveletImagePlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/WaveletImagePlot.html