A Quick Tour of Differential Geometry by Jitendra Malik

A Quick Tour of Differential Geometry by Jitendra Malik
Slide Note
Embed
Share

Discover the captivating world of differential geometry through a concise journey exploring two ways of defining surfaces, normal curvature, principal curvatures for various surfaces, Gaussian and Mean Curvature, and surfaces with negative, zero, and positive Gaussian Curvature. Delve into the fundamental concepts and visual representations provided in this insightful presentation.

  • Geometry
  • Surfaces
  • Curvature
  • Mathematics
  • Education

Uploaded on Apr 19, 2025 | 0 Views


Download Presentation

Please find below an Image/Link to download the presentation.

The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.

You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.

The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.

E N D

Presentation Transcript


  1. A quick tour of differential geometry Jitendra Malik

  2. Two ways of defining surfaces

  3. Defining normal curvature

  4. Principal curvatures for different surfaces Plane Cylinder Sphere Elliptic patch Hyperbolic patch

  5. Principal curvatures for different surfaces Plane both zero Cylinder one zero, other is 1/r Sphere both are 1/r Elliptic patch both have same sign Hyperbolic patch have opposite signs

  6. Gaussian and Mean Curvature

  7. Surfaces of negative, zero and positive Gaussian Curvature

More Related Content