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Image Processing and Jump Regression Analysis



Image Processing and Jump Regression Analysis

Peihua Qiu

ISBN: 978-0-471-73316-4 May 2005 344 Pages



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.


1. Introduction.

2. Basic Statistical Concepts and Conventional Smoothing Techniques.

3. Estimation of Jump Regression Curves.

4. Estimation of Jump Location Curves of Regression Surfaces.

5. Jump Preserving Surface Estimation By Local Smoothing.

6. Edge Detection In Image Processing.

7. Edge-Preserving Image Restoration.



"It has much to offer that is hard to find elsewhere." (Journal of the American Statistical Association, December 2006)

"…a well-written book offering comprehensive excellent reference and source book for statisticians, computer scientists, engineers, and other researchers…" (IIE Transactions- Quality and Reliability Engineering, June 2006)

"…an impressive resource for research statisticians…researchers in computer graphics and image processing…" (Technometrics, May 2006)