Correlation and Convolution - UMD

Correlation and Convolution Class Notes for CMSC 426, Fall 2005 David Jacobs Introduction Correlation and Convolution are basic operations that we will perform to extract information from images. They are in some sense the simplest operations that we can perform on an image, but they are extremely useful. Moreover, because they are simple, they can be analyzed and understood very well, and they are also easy to implement and can be computed very efficiently. Our main goal is to understand exactly what Correlation and Convolution do, and why they are useful. We will also touch on some of their interesting theoretical properties; though developing a full understanding of them would take more time than we have. These operations have two key features: they are shift-invariant, and they are linear.

Correlation and Convolution Class Notes for CMSC 426, Fall 2005 David Jacobs Introduction Correlation and Convolution are basic operations that we will perform to extract information from images. They are in some sense the simplest operations that we can perform on an image, but they are extremely useful. Moreover, because they are simple,

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