Image Processing and the 2D Stockwell Transform
Speaker: Allan Caine
In this talk, we will present the 2D Stockwell transform (2D
s-transform) and its application to image processing. The 2D
s-transform will be compared to the 2D Fourier transform. We will
show that the 2D s-transform gives resolution in space while the 2D
Fourier transform does not. To understand why this difference exists
between the two transforms, we will look in detail at the Stockwell
and Fourier transforms in their 1D versions. We will show that the
Stockwell transform is a function of space and frequency; the Fourier
transform is a function of frequency only.
In its 2D version, the Stockwell transform is a function of frequency
in x and in y. These two parameters can be adjusted independently of
each other. By varying the values of the two parameters, we can draw
meaningful conclusions about the image under investigation.
We will conclude this talk with a summary of future directions in this
exciting area of research.