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Probability And Image Enhancement

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Conference

2006 Annual Conference & Exposition

Location

Chicago, Illinois

Publication Date

June 18, 2006

Start Date

June 18, 2006

End Date

June 21, 2006

ISSN

2153-5965

Conference Session

New trends in ECE education

Tagged Division

Electrical and Computer

Page Count

13

Page Numbers

11.1023.1 - 11.1023.13

DOI

10.18260/1-2--18

Permanent URL

https://peer.asee.org/18

Download Count

312

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Paper Authors

biography

Maurice Aburdene Bucknell University

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MAURICE F. ABURDENE is the T. Jefferson Miers Professor of Electrical Engineering and Professor of Computer Science at Bucknell University. He has taught at Swarthmore College, the State University of New York at Oswego, and the University of Connecticut. His research areas include, parallel algorithms, simulation of dynamic systems, distributed algorithms, computer communication networks, control systems, computer-assisted laboratories, and signal processing.

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biography

Thomas Goodman Bucknell University

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THOMAS J. GOODMAN earned his B.S. degree in electrical engineering from Bucknell University and is currently pursuing a Master's degree at Bucknell, also in electrical engineering. His research interests include discrete transforms and efficient hardware implementation of transform algorithms and other operations used in digital signal processing. He will be graduating from Bucknell in May 2006 and plans to begin work as a hardware design engineer shortly thereafter. He grew up in Rochester, NY.

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Abstract
NOTE: The first page of text has been automatically extracted and included below in lieu of an abstract

Probability and Image Enhancement 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.

Introduction

ABET evaluation criteria for electrical engineering programs state “The program must demonstrate that graduates have: knowledge of probability and statistics, including applications appropriate to the program name and objectives; and knowledge of mathematics through differential and integral calculus, basic sciences, computer science, and engineering sciences necessary to analyze and design complex electrical and electronic devices, software, and systems containing hardware and software components, as appropriate to program objectives.”(See http://www.abet.org/criteria.html).

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. We introduce a way to make this topic more appealing to students. In the latest offering, the four other projects included linear averaging,1 computer networks and simulation,2 frequency response and least-squares estimation,1 and conditional probability and receivers in communication systems1.

The project focuses on the applications of probability to image enhancement using both histogram equalization and histogram specification methods. The histogram equalization technique directly uses the original image pixel values to compute the enhanced image’s pixel values. Histogram equalization is widely used in medical image processing, facial recognition, radar, and photo processing software. Image enhancement techniques demonstrate applications of functions of random variables (transformations of random variables, derived random variables) and the generation of random variables from specified distributions. Image processing examples are good in the sense of yielding immediate visual feedback; in addition, students may already have had experience with image editing software.

Aburdene, M., & Goodman, T. (2006, June), Probability And Image Enhancement Paper presented at 2006 Annual Conference & Exposition, Chicago, Illinois. 10.18260/1-2--18

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