Title :
Interactive Visualization of Mathematics in 3D Web
Author :
Lai, Danbo ; Sourin, Alexei
Author_Institution :
Nanyang Technol. Univ., Singapore, Singapore
Abstract :
We propose a new educational web-enabled 3D shape modeling framework that does not restrict to a list of predefined primitive geometric objects and allows the user to interactively create objects by incremental modifications of the basic shape with the tool shapes that are defined by analytical functions. The shape definition is eventually a function script which can be rendered on any suitable graphics system. The function script includes accelerating structures that significantly improve the shape rendering performance allowing us to sustain interactivity with large number of interactive operations applied.
Keywords :
Internet; computational geometry; computer aided instruction; data visualisation; interactive systems; mathematics computing; rendering (computer graphics); solid modelling; 3D Web; analytical functions; educational Web-enabled 3D shape modeling framework; function script; graphics system; incremental modifications; interactive mathematics visualization; predefined primitive geometric objects; shape rendering performance improvement; shared virtual reality; structure acceleration; tool shapes; Acceleration; Data structures; Geometry; Rendering (computer graphics); Shape; Solid modeling; Visualization; 3D web; Shape modeling; shared virtual reality;
Conference_Titel :
Cyberworlds (CW), 2012 International Conference on
Conference_Location :
Darmstadt
Print_ISBN :
978-1-4673-2736-7