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  • © 2004

Numerical Geometry of Images

Theory, Algorithms, and Applications

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  • ISBN: 978-0-387-21637-9
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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xiii
  2. Introduction

    • Ron Kimmel
    Pages 1-16
  3. Basic Differential Geometry

    • Ron Kimmel
    Pages 17-34
  4. Curve and Surface Evolution

    • Ron Kimmel
    Pages 35-49
  5. The Osher—Sethian Level Set Method

    • Ron Kimmel
    Pages 50-60
  6. Fast Marching Methods

    • Ron Kimmel
    Pages 87-108
  7. Shape from Shading

    • Ron Kimmel
    Pages 109-122
  8. 2D and 3D Image Segmentation

    • Ron Kimmel
    Pages 123-140
  9. Geometric Framework in Image Processing

    • Ron Kimmel
    Pages 141-162
  10. Solutions to Selected Problems

    • Ron Kimmel
    Pages 179-191
  11. Back Matter

    Pages 192-209

About this book

 

With the ever-rising volume worldwide of visual content on computers and communication networks, it becomes increasingly important to understand visual processing, to model and evaluate image formation, and to attempt to interpret image content.

Numerical Geometry of Images presents an authoritative examination of new computational methods and algorithms in image processing and analysis. In addition to providing the requisite vocabulary for formulating problems, the book describes and utilizes tools from mathematical morphology, differential geometry, numerical analysis, and calculus of variations. Many applications, such as shape reconstruction, color-image enhancement and segmentation, edge integration, path planning, and calculation invariant signatures are explored.

Topics and features:

* Introduces new concepts in geometric image modeling and image interpretation (computer vision)

* Provides the requisite theoretical basis and progresses to using key tools

* Offers a solution to the face-recognition problem by generalizing principles from texture-mapping methods in computer graphics

* Contains numerous helpful exercises and solutions to facilitate learning

* Presents a new perspective on solving classic problems, as well as classic approaches to solving new problems

* Uses industry-proven variational geometric methods and numerical schemes

With its well-organized structure, clarity of presentation, and intuitive style, this new text/reference expedites a solid grasp of the technical material. Only a good background in geometry, linear algebra, and basic calculus is required. Graduate students and professionals with interests in computational geometry, computer vision, image processing, computer graphics, and algorithms will find the book an invaluable and highly practical learning resource.

Keywords

  • Active contour
  • Diffusion
  • Image segmentation
  • algorithms
  • computational geometry
  • image processing
  • mathematical morphology

Reviews

From the reviews:

"After a brief introduction to differential geometry the book covers computational methods and algorithms in image processing and image analysis. … The author presents classic approaches as well as new solutions … . It would certainly be beneficial for the presumptive reader to be able to rely on a sound background in geometry, linear algebra and calculus." (Anton Gfrerrer, Zentralblatt MATH, Vol. 1049, 2004)

Authors and Affiliations

  • Department of Computer Science, Technion—Israel Institute of Technology, Haifa, Israel

    Ron Kimmel

Bibliographic Information

  • Book Title: Numerical Geometry of Images

  • Book Subtitle: Theory, Algorithms, and Applications

  • Authors: Ron Kimmel

  • DOI: https://doi.org/10.1007/978-0-387-21637-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2004

  • Hardcover ISBN: 978-0-387-95562-9

  • Softcover ISBN: 978-1-4684-9535-5

  • eBook ISBN: 978-0-387-21637-9

  • Edition Number: 1

  • Number of Pages: XIII, 209

  • Number of Illustrations: 254 b/w illustrations

  • Topics: Computer Vision, Computer Graphics, Computer Modelling

Buying options

eBook
USD 69.99
Price excludes VAT (USA)
  • ISBN: 978-0-387-21637-9
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 89.99
Price excludes VAT (USA)
Hardcover Book
USD 109.99
Price excludes VAT (USA)