Applications of Clifford Algebra in Mixed Reality Environment

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dc.contributor.authorHo, E.Y.T.en_US
dc.contributor.editorPeter Hall and Philip Willisen_US
dc.date.accessioned2016-02-09T10:27:07Z
dc.date.available2016-02-09T10:27:07Z
dc.date.issued2003en_US
dc.description.abstractThe 'beauty' of Clifford's Geometric Algebras is its ability to incorporate other algebras and it is the 'mother' algebra for all algebras. This paper introduces the advantage of using this algebra by combining and augmenting certain group of algebras, such as linear algebra, quaternion algebra, the Grassmann algebra and projective algebra to simplify mathematical manipulations in 3-dimensional rotations and projective geometry, especially in the context of mixed reality environment. Those 'augmented' representations are shown with applications in the mixed reality environment, especially for registration and computer vision based object recognition issues. Some simple scenarios with place-holder objects are described at the end for a full understanding of the mixed reality applications before other most recent engineering and computer science areas using this algebra for their applications are briefly discussed.en_US
dc.description.sectionheadersPoster Session 2en_US
dc.description.seriesinformationVision, Video, and Graphics (VVG) 2003en_US
dc.identifier.doi10.2312/vvg.20031027en_US
dc.identifier.isbn3-905673-54-1en_US
dc.identifier.pagesE.Y.T. Ho-Clifford algebra, rotors, projective split, mixed reality, registration, computer vision based object recognition, place holder objectsen_US
dc.identifier.urihttps://doi.org/10.2312/vvg.20031027en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectClifford algebraen_US
dc.subjectrotorsen_US
dc.subjectprojective spliten_US
dc.subjectmixed realityen_US
dc.subjectregistrationen_US
dc.subjectcomputer vision based object recognitionen_US
dc.subjectplace holder objectsen_US
dc.titleApplications of Clifford Algebra in Mixed Reality Environmenten_US
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