Program MR2D_v2: 2D Multiresolution Image Analysis

Preliminaries

• This file is "Examples..." under the "Help" pull-down menu.
• Without a valid licence file, use is very restricted. The licence file is a one-line text file called: cea_lic. It can be set up using the "Install licence" option under the "File" pull-down menu. Or it can be copied as a file to the bin subdirectory.
• The self-extracting binaries for MR1, MR2, and MR3, produce the main program, and bin and images (data, in the case of MR1) subdirectories. The bin subdirectory contains all of the multiresolution analysis programs.
• If you would like to use the MR1, MR2, or MR3 packages, we would recommend that you put the cea_lic file in your c: or some other convenient directory; and then copy it into the bin directory corresponding to any one of the MR1, MR2, and MR3 packages.
• "Open..." under the "File" pull-down menu supports various 2D image formats: JPEG, PGM and FITS. FITS is recommended for most processing because it supports 32-bit floating pixel values.
• Possible warning: extremely long path names will cause a problem since a fixed total length is assumed for the path and file name.
• Sample images available in the images subdirectory are:

  

• Opening the galaxy image gives the following. Scroll bars allow for a very large image. Both halving and doubling the display size are possible (under the "View" pull-down menu).

  

  Segmentation

• A segmentation with 5 classes (Gaussian mixture modelling of the marginal distribution) gives the following. Numeric information is presented in a pop-up window which can be saved as a text file.

  

  Contrast Stretching

• Let us load galaxy.jpg.

  

  Instead of a histogram equalization we stretch the wavelet coefficients using under the "Tools" pull-down menu the "Contrast" program. The menu itself is as follows.

  

  The wavelet-based contrast stretching gives the following result.

  

  Wavelet Transform

• The wavelet transform allows for display of just one resolution scale, or an aggregate of a number of resolution scales. So let us look for the more smooth aspects of the galaxy image. We will use "Multiresolution Transform" under the "Filtering" pull-down menu.

  

  This then gives as output:

  

  Now we look for the sharper (more high frequency) information. We use the following resolution scales.

  

  This gives the following.

  

  Edge Detection

• Using the stones image, we apply "Edge detect" from the "Tools" pull-down menu.

  

  This gives:

  

  Applying the same wavelet coefficient contrast stretching as before gives the following.

  

  History of Processing

• A history of processing is kept in text file mr2d_v2.log