SGER: Developing New Geometric Modeling and Scientific Visualization Techniques for Curved Optical Surfaces

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The proposed research is suitable for an SGER, due to its interdisciplinary nature, involving applications of geometric modeling and scientific visualization to provide improved representation and display techniques for the cornea. The application has the potential of revolutionizing the field of optometry. Instead of the current trial-and-error method of fitting contact lenses a much faster and precise procedure can be developed. Furthermore, it will enable fitting contact lenses to people whose corneas have complex and/or irregular shapes, something which is impossible with the current state of the art. A successful completion of the project may induce the manufacturers of contact lenses to embark on a development effort, but at present they don't have the financial incentive to take the risk. Thus the small investment in this project can have significant impact. The PI is highly qualified and is strongly motivated, due to a personal vision problem. I recommend funding.