Title

Probability and Image Enhancement

Document Type

Conference Paper

Publication Date

2006

Conference/Sponsorship/Institution

ASEE Annual Conference and Exposition, Conference Proceedings

Location

Chicago, IL

Department

Electrical Engineering

Abstract

We present one of five projects used in our course, Probability with Applications in Electrical Engineering. The course is required for all electrical engineering students and is open to third and fourth year students. The project focuses on the applications of probability to image enhancement using histogram equalization and histogram specification methods. These techniques demonstrate applications of functions of random variables, transformations of random variables, and the generation of random variables from specified distributions. We begin by introducing the continuous random variable transformation and demonstrating the process of transforming any random variable distribution to a uniform distribution through the use of the cumulative density function. We then explore the concept of histogram equalization: how it works, its effects on image contrast, and its applications in image processing and image enhancement. Finally, we generalize the histogram equalization problem by showing how the cumulative density function can be used to specify an arbitrary probability distribution and to transform the image accordingly. © American Society for Engineering Education, 2006.

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