A technique using least square cubic splines was developed to obtain an estimate of the MTF from edge response measurements. By making specific assumptions concerning the general nature of edges to be analyzed, an optimized procedure was developed to fit noise free cummulative gaussian edges. The procedure was evaluated using simulated data from various spread function shapes and levels of additive noise. The spline technique produced MTF estimates which had less bias and lower variance than the commonly used derivative - transform technique. Due to the various constraints which can be imposed on the spline, least square cubic splines actually comprise a class of edge analysis techniques which spans the range of characteristics from the derivative transform technique to the exact functional form fitting technique. Because of the nature of the spline calculation, the constrained, least square cubic spline can be thought of as a matched, yet adaptive nonlinear filter.
Library of Congress Subject Headings
Optical transfer function; Transfer functions; Spline theory
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Department, Program, or Center
School of Photographic Arts and Sciences (CIAS)
Porth, Roland Walter, "Application of least square cubic splines to the analysis of edges" (1984). Thesis. Rochester Institute of Technology. Accessed from
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