Lecture 7: Image Filtering & Edge Detection

image filtering
image warping

LSI (Linear Shift Invariance) - convolution

http://en.wikipedia.org/wiki/Convolution
Convolution is a mathematical operation on two functions f and g, producing a third function that is typically viewed as a modified version of one of the original functions.

http://en.wikipedia.org/wiki/Cross_correlation

http://en.wikipedia.org/wiki/Gaussian_filter
Mathematically, a Gaussian filter modifies the input signal by convolution with a Gaussian function; this transformation is also known as the Weierstrass transform.
Gaussian filters are designed to give no overshoot to a step function input while minimizing the rise and fall time (which leads to the steepest possible slope). This behavior is closely connected to the fact that the Gaussian filter has the minimum possible group delay.