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dc.contributor.authorUgail, Hassan*
dc.contributor.authorSourin, A.*
dc.contributor.authorSourina, O.*
dc.contributor.authorGonzalez Castro, Gabriela*
dc.date.accessioned2011-07-23T15:36:28Z
dc.date.available2011-07-23T15:36:28Z
dc.date.issued2009
dc.identifier.citationUgail H., Gonzalez Castro, G., Sourin, A. and Sourina, O. (2009). Towards a definition of virtual objects with Partial Differential Equations. In: Proceedings of International Conference on Cyberworlds, Bradford, 7-11 Sept, 2009. pp. 138-145.en_US
dc.identifier.urihttp://hdl.handle.net/10454/4967
dc.descriptionNoen_US
dc.description.abstractWe propose an efficient alternative to commonly used parametric surfaces such as NURBS surfaces for definition of complex geometry in shared virtual spaces. Our mathematical model allows to define objects by only providing coordinates of the section curves in 3-space. The resulting parametric functions allow fast calculation of the coordinates of the points on the surface of the objects. We devise an algorithm which evaluates the coefficients of these functions in real time. Given the small size of the resulting formulas and interactive rates for their calculation, we are able to efficiently use such PDE-based models for making virtual objects in shared virtual spaces. We describe the modeling framework and illustrate the proposed theoretical concepts with our function-based extension of VRML and X3D.en_US
dc.language.isoenen_US
dc.subjectPDEen_US
dc.subjectShape modellingen_US
dc.subjectShared virtual spacesen_US
dc.subjectX3Den_US
dc.subjectVRMLen_US
dc.titleTowards a definition of virtual objects with Partial Differential Equationsen_US
dc.status.refereedYesen_US
dc.typeConference paperen_US
dc.type.versionNo full-text available in the repositoryen_US


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