A Quick Tour of Differential Geometry by Jitendra Malik
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.
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Presentation Transcript
A quick tour of differential geometry Jitendra Malik
Principal curvatures for different surfaces Plane Cylinder Sphere Elliptic patch Hyperbolic patch
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
Surfaces of negative, zero and positive Gaussian Curvature
