Digital Geometry in Image Processing (IIT Kharagpur Research Monograph Series)

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Dr. Partha Pratim Das

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IIT Kharagpur Research Monograph Series

Our Stores. Apply Filter Remove Filter Categories. NZD Employs modern computational methods. Contains a variety of exercises, both computational and theoretical, together with answers, enabling use for self-study. An ideal text for students planning for a professional career as actuaries, providing a solid preparation for the modeling examinations of the major North American actuarial associations.

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Furthermore, this book is highly suitable reference for those wanting a sound introduction to the subject, and for those working in insurance, annuities and pensions. Unlike similar books, this one connects the two areas of image processing and digital geometry, highlighting important results of digital geometry that are currently used in image analysis and processing.


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The book discusses different digital geometries in multi-dimensional integral coordinate spaces. It also describes interesting properties of the geometries, including metric and topological properties, shapes of circles and spheres, proximity to Euclidean norms, and number theoretic representations of geometric objects such as straight lines and circles.

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The authors—all active researchers in image processing and digital geometry—demonstrate how these concepts and properties are useful in various techniques for image processing and analysis. In particular, the book covers applications in object representation and shape analysis. With many figures some in color and end-of-chapter exercises, this book provides an in-depth, unified account of digital metrics, the characterization of digital curves and straight lines, and their uses in shape analysis.

It gives you insight on the latest two- and three-dimensional image processing applications. Shlomo Sternberg Curvature in Mathematics and Physics This original Dover textbook is based on an advanced undergraduate course taught by the author for more than 50 years.

It introduces semi-Riemannian geometry and its principal physical application, Einstein's theory of general relativity, using the Cartan exterior calculus as a principal tool. Prerequisites include linear algebra and advanced calculus. As classical objects, curves may be viewed from many angles.

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This text also provides a foundation for the comprehension and exploration of modern work on singularities.

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