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

dc.creator	Shashua, Amnon
dc.date	2004-10-20T20:50:03Z
dc.date	2004-10-20T20:50:03Z
dc.date	1993-07-01
dc.date.accessioned	2013-10-09T02:48:35Z
dc.date.available	2013-10-09T02:48:35Z
dc.date.issued	2013-10-09
dc.identifier	AIM-1405
dc.identifier	CBCL-078
dc.identifier	http://hdl.handle.net/1721.1/7216
dc.identifier.uri	http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description	We 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).
dc.format	14 p.
dc.format	127845 bytes
dc.format	518493 bytes
dc.format	application/octet-stream
dc.format	application/pdf
dc.language	en_US
dc.relation	AIM-1405
dc.relation	CBCL-078
dc.subject	visual recognition
dc.subject	strucutre from motion
dc.subject	projectivesgeometry
dc.subject	3D reconstruction
dc.title	Geometric and Algebraic Aspects of 3D Affine and Projective Structures from Perspective 2D Views

Files in this item

Files	Size	Format	View
There are no files associated with this item.