Larry Thibos Collection

Permanent link for this collectionhttps://hdl.handle.net/2022/21112

This collection includes a downloadable, full text version of a monograph authored by IU Professor Emeritus Larry Thibos, Fourier Analysis for Beginners and an accompanying, downloadable set of Matlab files for readers who wish to review numerical examples and exercises mentioned in the text.

The book may be cited as
Thibos, L.N. (2014). Fourier Analysis for Beginners, 6th edition.
DOI: https://doi.org/10.5967/K8R20Z93


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    Matlab Files for Fourier Analysis for Beginners
    (2014) Thibos, Larry N.
    Matlab files to accompany book developed to serve a graduate-level course called “Quantitative Methods for Vision Research” taught for many years at Indiana University School of Optometry, Bloomington, Indiana.
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    Fourier Analysis for Beginners
    (2014) Thibos, Larry N.
    Fourier analysis is ubiquitous. In countless areas of science, engineering, and mathematics one finds Fourier analysis routinely used to solve real, important problems. Vision science is no exception: today's graduate student must understand Fourier analysis in order to pursue almost any research topic. This situation has not always been a source of concern. The roots of vision science are in "physiological optics", a term coined by Helmholtz which suggests a field populated more by physicists than by biologists. Indeed, vision science has traditionally attracted students from physics (especially optics) and engineering who were steeped in Fourier analysis as undergraduates. However, these days a vision scientist is just as likely to arrive from a more biological background with no more familiarity with Fourier analysis than with, say, French. Indeed, many of these advanced students are no more conversant with the language of mathematics than they are with other foreign languages, which isn't surprising given the recent demise of foreign language and mathematics requirements at all but the most conservative universities. Consequently, a Fourier analysis course taught in a mathematics, physics, or engineering undergraduate department would be much too difficult for many vision science graduate students simply because of their lack of fluency in the languages of linear algebra, calculus, analytic geometry, and the algebra of complex numbers.
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    Wavefront Measurement of Refractive State, 2012 Charles F. Prentice Lecture
    (Larry Thibos, 2013-02-05) Thibos, Larry
    The American Academy of Optometry awarded Dr. Thibos the 2012 Prentice Medal in recognition of contributions to advancement of knowledge in the visual sciences. In accepting the award, Dr. Thibos presented a lecture describing modern efforts to define and measure the refractive state of human eyes. These efforts have led to new insights about the nature of refractive error, the quality of the retinal image, the interplay of the crystalline lens and the eye's pupil during accommodation, dynamic changes in optical quality of eyes caused by tear film deterioration, and outcome assessment of refractive therapies. In this video recording of his lecture, Dr. Thibos explains in simple terms the underlying optical concepts of wavefront aberrometry to help educators, clinicians, and patients understand the approach used by researchers to learn about the eye's optical aberrations and treatment methodologies. A companion transcript is also available for the hearing impaired.