Pattern Recognition and
Image Processing Group
Institute of Computer Graphics and Algorithms
PRIP Fakultät für Informatik, TU Wien Technische Universität Wien Fakultät für Informatik

Laplacian Pyramids

The building of a Laplacian pyramid is described and demonstrated. Afterwards, multiresolution splines of two images are explained and demonstrated. Finally, for basic fovea a rudimentary fovea is formed within the Laplacian pyramid and shown in an animated demonstration.


Laplacian Pyramids

A Laplacian pyramid can be obtained by subtracting each Gaussian pyramid level from the next lower level in the sequence. The levels differ in density.

Levels 1 - 2 - 3 - 4 - 5 - 6 - 7

Laplacian Pyramid Example

In this demonstration, we show seven levels and their histograms on building a Laplacian Pyramid. The original image shows the drill mask of a turntable. This image will be reduced step by step using a 2 x 2/4 pyramid.


Multiresolution Splines

This demonstration splines two images A and B using the following steps:

  • Step 1: Laplacian pyramids LA and LB are constructed for images A and B
  • Step 2: A third Laplacian pyramid LS is constructed (2N-1 denotes the center line):
  • Step 3: The splined image S is obtained by expanding and summing the levels of LS

Multiresolution Splines Example

This demonstration splines two images. The result is shown by the lower animation which consists of seven levels.

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