Visual immersive haptic rendering on the web
VRCAI '08 Proceedings of The 7th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry
Visual Immersive Haptic Mathematics in Shared Virtual Spaces
Transactions on Computational Science III
Function-based haptic collaboration in X3D
Proceedings of the 14th International Conference on 3D Web Technology
Constructive function-based modeling in multilevel education
Communications of the ACM - The Status of the P versus NP Problem
Six degree-of-freedom haptic rendering for biomolecular docking
Transactions on computational science XII
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Animated shape transformations should be an intrinsic part of visual cyberworlds. However, quite often only limited animation of the polygon-based shapes can be found there, specifically when using the virtual reality modeling language (VRML) and its successor extensible 3D (X3D). This greatly limits the expressive power of visual cyberworlds and has motivated our research in this direction. In this paper, we present function-based extensions of VRML and X3D, which allow for time-dependent shape modeling on the web. Our shape modeling approach is based on the concurrent use of implicit, explicit and parametric functions defining geometry, appearance and their transformations through time. The functions are typed straight in VRML/X3D code as individual formulas and as function scripts. We have also developed a web enabled interactive software tool for modeling function-based VRML/X3D objects.