Circular and Linear Regression: Fitting Circles and Lines by Least Squares 1st Edition by Nikolai Chernov (PDF)

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    Ebook Info

    • Published: 2010
    • Number of pages: 286 pages
    • Format: PDF
    • File Size: 5.40 MB
    • Authors: Nikolai Chernov

    Description

    Find the right algorithm for your image processing applicationExploring the recent achievements that have occurred since the mid-1990s, Circular and Linear Regression: Fitting Circles and Lines by Least Squares explains how to use modern algorithms to fit geometric contours (circles and circular arcs) to observed data in image processing and comput

    User’s Reviews

    Reviews from Amazon users which were colected at the time this book was published on the website:

    ⭐Finding Chernov’s 1984 circle estimation method was a huge boost for my applications in mid-90’s. Since then, I was closely following Nikolai’s developments until his untimely death. This book should be read or at least looked through by everyone who ever utters “Circle estimate”. It is amazing how people keep reinventing, publishing and using the same old crappy methods, including even professional mathematicians and computer scientists. Enough such highly regarded libraries as OpenCV, dlib and Geometric tools, all are using much worse and slower methods, compared to what you find in his book.The book is written very clearly, well designed and systematic. Despite Nikolai’s pioneership, he doesn’t put his name first in the discussion.I highly recommend the book to statisticians and computer professionals who deal with image and video processing.

    ⭐There are many hidden issues in the deceptively simple-looking problem of fitting circles to noisy data. This book combines the historical, mathematical, and practical approaches in a very informative manner. Many algorithms are compared at the analytical and empirical (synthetic data simulation) levels. A good balance is maintained between issue of academic interest and practical solutions.

    Keywords

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