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IEEE Transactions on Pattern Analysis and Machine Intelligence
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International Journal of Computer Vision
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiple view geometry in computer visiond
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International Journal of Computer Vision
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IEEE Transactions on Pattern Analysis and Machine Intelligence
Epipolar geometry estimation based on evolutionary agents
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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Pattern Recognition
A general expression of the fundamental matrix for both perspective and affine cameras
IJCAI'97 Proceedings of the Fifteenth international joint conference on Artifical intelligence - Volume 2
International Journal of Computer Vision
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IEEE Transactions on Circuits and Systems for Video Technology
Two-View geometry and reconstruction under quasi-perspective projection
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part II
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The paper investigates geometric properties of quasi-perspective projection model in one and two-view geometry. The main results are as follows. (i) Quasi-perspective projection matrix has nine degrees of freedom (DOF), and the parallelism along X and Y directions in world system are preserved in images. (ii) Quasi-fundamental matrix can be simplified to a special form with only six DOFs. The fundamental matrix is invariant to any non-singular projective transformation. (iii) Plane induced homography under quasi-perspective model can be simplified to a special form defined by six DOFs. The quasi-homography may be recovered from two pairs of corresponding points with known fundamental matrix. (iv) Any two reconstructions in quasi-perspective space are defined up to a non-singular quasi-perspective transformation. The results are validated experimentally on both synthetic and real images.