Date of Award

January 2025

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Bryce Christopherson

Abstract

Image preprocessing is crucial in deep learning models for high performance and accuracy. This study implements AdaptBlur, a dynamic linear filter developed from a second-order partial differential equation using finite difference approximations, which enhances image quality while preserving the image structure with dynamic parameters that are optimized through the Nelder-Mead optimization, minimizing mean square error to improve the effectiveness of the filter. Moreover, the study evaluates the impact of the results on model performance on deep learning classification using publicly available datasets. Experimentally, image classifiers trained on preprocessed data with the AdaptBlur filter perform much better than those trained without filtering or with filtering using the conventional Gaussian filter, as this filter gives nearly a 10% increase in classification accuracy.

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