Applications of differential geometry to cartography

Differential Geometry Applications to Vision Systems

Integrating ideas from differential geometry and optimization, this chapter develops and applies novel parameterization-based framework to address optimization problems formulated on a smooth manifold, particularly those arise in computer vision. The framework views the manifold as a collection of local coordinate charts. It involves successive parameterizations of a manifold, carrying out opti...

Differential Geometry Applications to Nonlinear Oscillators Analysis

In this work a new approach to stability analysis is applied to nonlinear oscillators. Based on the use of local metrics properties of curvature and torsion resulting from Differential Geometry and while considering trajectory curves as plane or space curves, these properties directly provide their slow manifold analytical equation and its stable and unstable parts. Van der Pol and Colpitts mod...

Differential Geometry and its Applications

Article history: Received 19 June 2010 Available online 22 April 2011 Communicated by Z. Shen

An Introduction to Differential Geometry with Applications to Elasticity

Applications of Partial Differential Equations To Problems in Geometry

Preface These notes are from an intensive one week series of twenty lectures given to a mixed audience of advanced graduate students and more experienced mathematicians in Japan in July, 1983. As a consequence, these they are not aimed at experts, and are frequently quite detailed, especially in Chapter 6 where a variety of standard techniques are presented. My goal was to introduce geometers t...