June 2014
Intermediate to advanced
464 pages
11h 15m
English
book
Mathematical Foundations of Image Processing and Analysis, Volume 1
by Jean-Charles Jean-Charles Pinoli Pinoli
Content preview from Mathematical Foundations of Image Processing and Analysis, Volume 1Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
6
Mathematical Imaging Frameworks
The purpose of this chapter is to describe how and why mathematical imaging frameworks will be presented in this book. Section 6.1 focuses on the mathematical imaging framework notion and the key underlying concepts. Section 6.2 deals with the meaning of image representation and image modeling, which is more familiar to the image processing and analysis specialists, and their relations and overlaps with the mathematical imaging framework’s formalism. Section 6.3 briefly presents a methodology to implement a typical image processing and image analysis problem. Finally, a few books and articles are referred to and commented in section 6.4.
6.1. Mathematical imaging frameworks
In this book, a mathematical framework for Image Processing and Analysis (IPA) purposes will be systematically presented in a separate chapter, typically composed of the following four sections entitled: (1) paradigms, (2) mathematical notions and structures, (3) main approaches for IPA and (4) main applications to IPA.
In Epistemology (i.e. the theory of knowledge), a paradigm is a prerequisite distinct concept [KUH 96].
A mathematical imaging framework is based on some prerequisite paradigms and consists of different mathematical notions and structures, allowing us to build various approaches for image processing and analysis, in order to effectively address in fine real application issues.
In this book, the presentation of the mathematical imaging frameworks will be sequential, ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Read now
Unlock full access
More than 5,000 organizations count on O’Reilly
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.