Image Pyramid

Gaussian Pyramid

Gaussian Pyramid

For each level

  1. Blur image with an Gaussian filter
  2. Down sample image

Convolution as matrix multiplication

1D Case

1D Gaussian

Laplacian Pyramid

Downsampled Gaussian Pyramid Level 0
Upsampled Gaussian Pyramid Level 0

Laplacian Filter =

Compute the difference between upsampled Gaussian pyramid level k+1 and Gaussian pyramid level k.

Laplacian Pyramid
Laplacian Pyramid