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InverseImagePyramid[pyr]

reconstructs an image from an ImagePyramid object pyr.

InverseImagePyramid[pyr,pyrtype]

assumes the specified pyramid type pyrtype.

InverseImagePyramid[pyr,pyrtype,n]

reconstructs up to pyramid level n.

InverseImagePyramid[pyr,pyrtype,{size}]

reconstructs up to the smallest pyramid level larger than the specified size.

Details
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Examples  
Basic Examples  
Scope  
Applications  
Properties & Relations  
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InverseImagePyramid

InverseImagePyramid[pyr]

reconstructs an image from an ImagePyramid object pyr.

InverseImagePyramid[pyr,pyrtype]

assumes the specified pyramid type pyrtype.

InverseImagePyramid[pyr,pyrtype,n]

reconstructs up to pyramid level n.

InverseImagePyramid[pyr,pyrtype,{size}]

reconstructs up to the smallest pyramid level larger than the specified size.

Details

  • InverseImagePyramid computes the inverse of ImagePyramid.
  • Image pyramid is a multi-resolution representation of an image to facilitate efficient multi-scale processing. Typical applications include noise removal, image blending, texture synthesis and efficient rendering.
  • An image pyramid consists of several images with consecutively lower resolutions. Typically, specific levels of the pyramid are processed and the result is reconstructed using the inverse process.
  • InverseImagePyramid works with 2D and 3D image pyramids.
  • The pyramid type pyrtype can be any of the following:
  • "Lowpass" or "Gaussian"iteratively blurs and downsamples
    "Bandpass" or "Laplacian"difference pyramid by upsampling and subtracting the lower levels from the upper levels
    {"Lowpass",ker}use ker for downsampling
    {"Bandpass",ker1,ker2}use ker1 for downsampling and ker2 for upsampling
    pyruse specifications of a reference pyramid pyr
  • Use InverseImagePyramid[pyr,n] to reconstruct the pyramid using the type embedded in pyr.

Examples

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Basic Examples  (2)

Reconstruct an image from a bandpass pyramid:

Wolfram Language code: pyr = ImagePyramid[[image], "Bandpass", 4]
Wolfram Language code: InverseImagePyramid[pyr]

Reconstruct an image to a specific size:

Wolfram Language code: pyr = ImagePyramid[[image], "Bandpass", 4]
Wolfram Language code: InverseImagePyramid[pyr, Automatic, {50, 50}]

Scope  (1)

Specify a single number for the reconstruction size:

Wolfram Language code: pyr = ImagePyramid[[image], "Bandpass", 4]
Wolfram Language code: InverseImagePyramid[pyr, Automatic, {100}]

Applications  (3)

Simulate decoding an image by incorporating more and more details:

Wolfram Language code: n = 3;
Wolfram Language code: image = [image];

Compute the Laplacian pyramid:

Wolfram Language code: pyr = ImagePyramid[image, "Laplacian", n];

Display more details by reconstructing with higher and higher levels of the pyramid:

Wolfram Language code: Table[ Image[ InverseImagePyramid[pyr, k], ImageSize -> ImageDimensions[image] ], {k, n, 1, -1} ]

Denoise an image by attenuating the lowest level of the Laplacian pyramid:

Wolfram Language code: noisy = [image];
Wolfram Language code: pyr = ImagePyramid[noisy, "Laplacian"];

Attenuate the noise in the lowest pyramid level by factor 0.1:

Wolfram Language code: pyr[1]
Wolfram Language code: pyr[1] = 0.1 * pyr[1];

Reconstruct the image without the noise:

Wolfram Language code: InverseImagePyramid[pyr]

Extract the small-scale components in a volumetric dataset:

Wolfram Language code: vol = ExampleData[{"TestImage3D", "CTengine"}]

Create four levels of a Laplacian image pyramid with scaling factor :

Wolfram Language code: pyramid = ImagePyramid[vol, "Laplacian", 4]

Discard the top level of the pyramid that contains the large-scale components:

Wolfram Language code: pyramid["Levels"] = Most[pyramid["Levels"]]

Reconstruct the original volume with only the small-scale components:

Wolfram Language code: InverseImagePyramid[pyramid, "Laplacian"]

Properties & Relations  (2)

Compare the result of a reconstruction to the original image:

Wolfram Language code: image = [image];
Wolfram Language code: result = InverseImagePyramid[ImagePyramid[image, "Bandpass", 4]]

Compute the difference between the reconstructed image and the original:

Wolfram Language code: ImageDistance[result, image, DistanceFunction -> "RootMeanSquare"]

The reconstructed image of a Gaussian pyramid is the same as the image of the bottom level:

Wolfram Language code: img = [image];
Wolfram Language code: pyramid = ImagePyramid[img, "Gaussian"]
Wolfram Language code: InverseImagePyramid[pyramid] === pyramid[1]
Wolfram Research (2019), InverseImagePyramid, Wolfram Language function, https://reference.wolfram.com/language/ref/InverseImagePyramid.html.

Text

Wolfram Research (2019), InverseImagePyramid, Wolfram Language function, https://reference.wolfram.com/language/ref/InverseImagePyramid.html.

CMS

Wolfram Language. 2019. "InverseImagePyramid." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/InverseImagePyramid.html.

APA

Wolfram Language. (2019). InverseImagePyramid. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/InverseImagePyramid.html

BibTeX

@misc{reference.wolfram_2026_inverseimagepyramid, author="Wolfram Research", title="{InverseImagePyramid}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/InverseImagePyramid.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_inverseimagepyramid, organization={Wolfram Research}, title={InverseImagePyramid}, year={2019}, url={https://reference.wolfram.com/language/ref/InverseImagePyramid.html}, note=[Accessed: 12-June-2026]}