Multiscale Image Representation with Image Pyramids

Gaussian pyramid is a sequence of images blurred using the Gaussian kernel and downsampled:

In[1]:=

pyr=ImagePyramid

,"Gaussian"

Out[1]=

ImagePyramid

Type: Gaussian Levels: 8
Dimensions: {200,167} ↔ {2,1}



View all images:

In[2]:=

pyr[All]

Out[2]=



,



Laplacian pyramid is similar to the Gaussian pyramid, but saves the difference between original and blurred images at each level except for the smallest image. Saving the original at the last level allows for reconstruction at higher resolutions:

In[3]:=

pyr=ImagePyramid

,"Laplacian"

Out[3]=

ImagePyramid

Type: Laplacian Levels: 8
Dimensions: {200,167} ↔ {2,1}



View all image levels, adjusting the images to see the details:

In[4]:=

Map[ImageAdjust,pyr[All]]

Out[4]=



,



Reconstruct the image from the Laplacian pyramid:

In[5]:=

InverseImagePyramid[pyr]

Out[5]=

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