Gaussian distance transform software

This software calculates the distance transform of a binary image using nonlinear distances. Providing a
binary image with object pixels shown by 0 and background pixels shown by 255, the program creates an
image where the value at a pixel will be the sum of distances of that pixel to all object pixels with distances
increasing proportional to inverse of a Gaussian.

Gaussian Distance Transform: The value at a pixel is the sum of distances of that pixel to all object
pixels, with distances inversely proportional to a Gaussian. The summation process has an averaging
effect and reduces the effect of noise. As the standard deviation of the Gaussian is increased, the effect of
noise decreases; however, local shape details are reduced as well.

If noise is not present Euclidean distance transform is preferred over the Gaussian distance transform
because it is faster. If noise is present, the Gaussian distance transform is preferred over the Euclidean
distance transform because it can reduce the effect of noise. Select the standard deviation of the
Gaussian proportion to the noise level in the image.

Differences between the Euclidean and Gaussian distances are shown below.

(a) (b)

(e) (f)

Fig. 1. (a) A binary image containing a circle. (b) The same binary image with 5 added random points. (c)
Euclidean distance transform of (a). (d) Euclidean distance transform of (b).(e) Gaussian distance transform of
(a). (f) Gaussian distance transform of (b).

To obtain a license for this software, please follow this link =>

Gaussian distance transform

Image Registration and Fusion Systems