2009
DOI: 10.1016/j.imavis.2009.01.003
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Multiple planes based registration using 3D Projective Space for Augmented Reality

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Cited by 9 publications
(6 citation statements)
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“…As illustrated in Figure 1, suppose Ȇ is one plane in the space, and the homography corresponding to Ȇ in the two images is H, select any two points P and Q outside of Ȇ, the image points of P and Q in the two images are p 1 q 1 p 2 q 2 . Suppose: Hq q (6) Then, the straight line In the 3D space, any three points out of one straight line can determine a plane. As illustrated in Figure 2, suppose Ȇ is the plane determined by x 1 x 2 and x 3 , and it is not parallel to the baseline.…”
Section: Calculated Homography Based On Three Pairs Of Pointsmentioning
confidence: 99%
See 3 more Smart Citations
“…As illustrated in Figure 1, suppose Ȇ is one plane in the space, and the homography corresponding to Ȇ in the two images is H, select any two points P and Q outside of Ȇ, the image points of P and Q in the two images are p 1 q 1 p 2 q 2 . Suppose: Hq q (6) Then, the straight line In the 3D space, any three points out of one straight line can determine a plane. As illustrated in Figure 2, suppose Ȇ is the plane determined by x 1 x 2 and x 3 , and it is not parallel to the baseline.…”
Section: Calculated Homography Based On Three Pairs Of Pointsmentioning
confidence: 99%
“…(6) In the case of direction is not defined, it can not decide to judge the direction in which side of plane Ȇ based on homography constraints, but the space points can be divided into two categories according to the symbol of k, they are located on both sides of Ȇ, thus, when to detect the multiple planes, the number of subsequent modeling will be greatly reduced. On this basis, this article proposes a fast multi-plane detection algorithm.…”
Section: Classification Of Feature Pointsmentioning
confidence: 99%
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“…For other purposes, plane registration is common in robotics and augmented reality to estimate the position of the camera in the scenario. For example, walls, floor and roof are used to extract the plane models that define them in (Pathak et al, 2009;Lee et al, 2012;Uematsu and Saito, 2009). Those planes are registered along the movement of robots to estimate robot position, but not in order to faithfully reconstruct the scenario.…”
Section: Introductionmentioning
confidence: 99%