Numerical Geometry of Images

Theory, Algorithms, and Applications

  • Ron Kimmel

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Ron Kimmel
    Pages 1-16
  3. Ron Kimmel
    Pages 17-34
  4. Ron Kimmel
    Pages 35-49
  5. Ron Kimmel
    Pages 50-60
  6. Ron Kimmel
    Pages 87-108
  7. Ron Kimmel
    Pages 109-122
  8. Ron Kimmel
    Pages 123-140
  9. Ron Kimmel
    Pages 141-162
  10. 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.


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

Authors and affiliations

  • Ron Kimmel
    • 1
  1. 1.Department of Computer ScienceTechnion—Israel Institute of TechnologyHaifaIsrael

Bibliographic information