Home Research Teaching Forums Staff Contact Search Intranet
 
 

Research Projects
Past and current research projects in the areas of virtual reality, media processing and web-based information systems.

Student and Thesis Projects, Jobs
Available student and thesis projects and job offers.

Scientific Publications
Details and downloads publications, technical reports and thesis papers.

  

Dynamic Differential Geometry in Education

by Hannes Kaufmann

Abstract

We present an augmented reality application which introduces differential geometry in educational dynamic geometry software. New functionality such as a Frenet frame, center and circle of curvature in arbitrary curve points, and others were implemented. Dynamic geometry allows to study di erential geometric properties under movement. Using this tool we developed examples which enable teachers and learners to intuitively explore properties of interesting curves, to visualize contact of higher order between curves and surfaces, to construct Meusnier's sphere, Dupin's indicatrix and more.

Download

Follow the link below to download the document. To view PDF documents, you need Acrobat Reader. For PostScript files, use either Acrobat Distiller (commercial) or GhostScript (free).

Details

Dynamic Differential Geometry in Education
TR Number: TR-188-2-2009-06
First Published: 2009
Publishing History: to appear in Journal for Geometry and Graphics, vol. 13, 2, 2009.
Keywords: Differential Geometry, Dynamic Three-dimensional Geometry, Augmented Reality, Geometry Education, Construct3D, Studierstube
 
 

 

 

 

Print this Page
Display a printer-friendly version of this page.

  

 

 

 

Interactive Media Systems Group
Institute for Software Technology and Interactive Systems
Vienna University of Technology

Favoritenstrasse 9-11/188/2
A-1040 Vienna, Austria

http://www.ims.tuwien.ac.at/