Author

Teresa Sano

Defense Date

5-7-2009

Graduation Date

2009

Availability

Immediate Access

Submission Type

thesis

Degree Name

MS

Department

Computational Mathematics

School

McAnulty College and Graduate School of Liberal Arts

Committee Chair

Stacey Levine

Committee Member

Carl Toews

Committee Member

Mark Mazur

Keywords

image processing, denoising, sparsity, geometric features

Abstract

Digital image denoising is a widely know problem in image processing. In this work, we focus on removing additive white Gaussian noise from a given image. We use a denoising method that was extended from the Sparseland model. This method builds sparse image patch representations using redundant dictionaries and has been shown to denoise images fairly well. We look to improve this method by adapting the dictionaries to more accurately represent specific image features. The image features were chosen to be the details, textures, and smooth regions of the image. Two different dictionaries were tested, the Discrete Cosine Transform and a learned dictionary based off of the noisy image patches. The dictionary's patch size was also varied to find the optimal patch size for denoising each image feature. Numerical and visual comparisons show the promise of this method improvement.

Format

PDF

Language

English

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