By deriving the formula to determine the infinite homography matrix from a pair of fundamental matrixes, a new linear restoration algorithm of infinite homography matrix from a pair of feature point sets extracted from three-views under a pair of linearly independent motions is developed.

The homography induced by the plane at infinity between two images, namely the infinite homography, plays a very important role in 3D computer vision since many vision problems could be substantially simplified by knowing it.

In this paper, a new constraint on the homography of the plane at infinity is introduced and a new linear camera calibration technique is proposed based on it.

The boundedness of the set of infinite matrix transformations from convergence-free space to sequence spaces is studied,and a general form of it is deducted.

Let λ and μ be sequence space and have both the signed-weak gliding hump property,(λ,μ) be the algebra of the infinite matrix operators which transform λ to μ.

This paper introduces the research development of the important effect algebra in quantum mechanics,and points out that it is of great significance to the establishment of mathematical foundation of quantum mechanics by making use of infinite matrix theory to study its convergent theory and invariants.