# Detection of the intersection lines in multiplanar environments: Application to real-time estimation of the camera-scene geometry

##### Citations

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### Cites background from "Detection of the intersection lines..."

...This paper is an expanded version of [25]....

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### Cites background or methods from "Detection of the intersection lines..."

...Most of the AR markerless approaches [12,21,22] are based on feature point tracking and commonly fail with untextured planes unless some flaws are present on the surface....

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...In [21], the authors used a similar consistency approach to [2] and realized that detecting the projection of the intersection line between any two planes gives enough information to build a polyhedral representation of the environment, although these projections are just intermediate results toward the Euclidean reconstruction of planes....

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...The use of planar surfaces for camera localization and structure recovery has recently received attention from the computer vision [2,21,22] and robotics [8,23] communities, because the presence of planar surfaces in man-made environments is common: planes are present as walls, doors, posters, books, facades, desks and other furniture....

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### Cites background or methods from "Detection of the intersection lines..."

...The use of our framework for video processing is direct and may require non-linear filtering theory as has been shown in [2,7]....

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...The use of planar surfaces for camera localization and structure recovery have recently received attention from the computer vision community [2,7,8,10,11]....

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...In [7] he shows how to recover the localization and reconstruction parameters of multi-planar scenes with minimal user assistance, which consists of manual selection of a base plane, additional planes are considered as...

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...The intersection between planes [7] i and j implies that a given point x belonging to this intersection satisfies x ′ ∼ Hix and x ∼ Hjx....

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### Cites background or methods from "Detection of the intersection lines..."

...Although there exist some works intending to deal with these problems, most of them are based on the estimation of the epipolar geometry, non-linear optimization, or linear systems that do not incorporate geometrical consistency and may produce undesirable side-effects....

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...…induced by planarity in the scene in order to estimate calibration, localization and reconstruction by using only linear systems of equations, instead of solving non-linear problems with the corresponding instability due to errors in the initial parameters guess or multi-linear problems....

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##### References

10,977 citations

3,776 citations

### "Detection of the intersection lines..." refers methods in this paper

...The core of this system is a robust and accurate procedure for detecting the intersection line between two planes....

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3,319 citations

### "Detection of the intersection lines..." refers methods in this paper

...The core of this system is a robust and accurate procedure for detecting the intersection line between two planes....

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545 citations