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Geometric and Algebraic Aspects of 3D Affine and Projective Structures from Perspective 2D Views

dc.date.accessioned2004-10-20T20:50:03Z
dc.date.accessioned2018-11-24T10:23:24Z
dc.date.available2004-10-20T20:50:03Z
dc.date.available2018-11-24T10:23:24Z
dc.date.issued1993-07-01en_US
dc.identifier.urihttp://hdl.handle.net/1721.1/7216
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/1721.1/7216
dc.description.abstractWe investigate the differences --- conceptually and algorithmically --- between affine and projective frameworks for the tasks of visual recognition and reconstruction from perspective views. It is shown that an affine invariant exists between any view and a fixed view chosen as a reference view. This implies that for tasks for which a reference view can be chosen, such as in alignment schemes for visual recognition, projective invariants are not really necessary. We then use the affine invariant to derive new algebraic connections between perspective views. It is shown that three perspective views of an object are connected by certain algebraic functions of image coordinates alone (no structure or camera geometry needs to be involved).en_US
dc.format.extent14 p.en_US
dc.format.extent127845 bytes
dc.format.extent518493 bytes
dc.language.isoen_US
dc.subjectvisual recognitionen_US
dc.subjectstrucutre from motionen_US
dc.subjectprojectivesgeometryen_US
dc.subject3D reconstructionen_US
dc.titleGeometric and Algebraic Aspects of 3D Affine and Projective Structures from Perspective 2D Viewsen_US


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