The first text to bridge the gap between image processing and jump
regression analysis
Recent statistical tools developed to estimate jump curves and
surfaces have broad applications, specifically in the area of image
processing. Often, significant differences in technical
terminologies make communication between the disciplines of image
processing and jump regression analysis difficult. In
easy-to-understand language, "Image Processing and Jump Regression
Analysis" builds a bridge between the worlds of computer graphics
and statistics by addressing both the connections and the
differences between these two disciplines. The author provides a
systematic analysis of the methodology behind nonparametric jump
regression analysis by outlining procedures that are easy to use,
simple to compute, and have proven statistical theory behind
them.
Key topics include: Conventional smoothing procedures Estimation
of jump regression curves Estimation of jump location curves of
regression surfaces Jump-preserving surface reconstruction based on
local smoothing Edge detection in image processing Edge-preserving
image restoration
With mathematical proofs kept to a minimum, this book is
uniquely accessible to a broad readership. It may be used as a
primary text in nonparametric regression analysis and image
processing as well as a reference guide for academicians and
industry professionals focused on image processing or curve/surface
estimation.
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