Minimax Theory of Image Reconstruction is popular PDF and ePub book, written by A.P. Korostelev in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Minimax Theory of Image Reconstruction can be Read Online from any device for your convenience.
Minimax Theory of Image Reconstruction Book PDF Summary
There exists a large variety of image reconstruction methods proposed by different authors (see e. g. Pratt (1978), Rosenfeld and Kak (1982), Marr (1982)). Selection of an appropriate method for a specific problem in image analysis has been always considered as an art. How to find the image reconstruction method which is optimal in some sense? In this book we give an answer to this question using the asymptotic minimax approach in the spirit of Ibragimov and Khasminskii (1980a,b, 1981, 1982), Bretagnolle and Huber (1979), Stone (1980, 1982). We assume that the image belongs to a certain functional class and we find the image estimators that achieve the best order of accuracy for the worst images in the class. This concept of optimality is rather rough since only the order of accuracy is optimized. However, it is useful for comparing various image reconstruction methods. For example, we show that some popular methods such as simple linewise processing and linear estimation are not optimal for images with sharp edges. Note that discontinuity of images is an important specific feature appearing in most practical situations where one has to distinguish between the "image domain" and the "background" . The approach of this book is based on generalization of nonparametric regression and nonparametric change-point techniques. We discuss these two basic problems in Chapter 1. Chapter 2 is devoted to minimax lower bounds for arbitrary estimators in general statistical models.
Detail Book of Minimax Theory of Image Reconstruction PDF
- Author : A.P. Korostelev
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9781461227120
- Genre : Mathematics
- Total Page : 272 pages
- Language : English
- PDF File Size : 20,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Minimax Theory of Image Reconstruction by A.P. Korostelev, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.