Projective reconstruction of approximately planar scenes

Robert T. Collins

doi:10.1117/12.142793

Projective reconstruction of approximately planar scenes

Robert T. Collins

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

The fundamental theorem of projective geometry states that the transformation mapping coplanar points from an object onto an image plane can be determined given the correspondence between four or more object points and their projections in the image. This theorem can be used to predict where other features in the object plane will appear in the image, and conversely, to project new image features back onto the object plane. In this paper we examine what happens when these mathematical results are applied to real-world data containing random sensor noise and deviations from coplanarity.

Original language	English (US)
Pages (from-to)	174-185
Number of pages	12
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	1838
DOIs	https://doi.org/10.1117/12.142793
State	Published - 1992
Event	21st AIPR Workshop on Interdisciplinary Computer Vision: An Exploration of Diverse Applications 1992 - Washington, United States Duration: Oct 14 1992 → Oct 16 1992

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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10.1117/12.142793

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title = "Projective reconstruction of approximately planar scenes",

abstract = "The fundamental theorem of projective geometry states that the transformation mapping coplanar points from an object onto an image plane can be determined given the correspondence between four or more object points and their projections in the image. This theorem can be used to predict where other features in the object plane will appear in the image, and conversely, to project new image features back onto the object plane. In this paper we examine what happens when these mathematical results are applied to real-world data containing random sensor noise and deviations from coplanarity.",

author = "Collins, {Robert T.}",

note = "Funding Information: This work was funded by DARPA/TACOM contract number DAAE07-91-C-R035, by NSF grant number CDA-8922572, and by the RADIUS project under DARPA/Army contract DACA76-92-C-0041. Funding Information: number DAAEO7-91-C-R035, by NSF grant number CDA-8922572,andby the RADIUS project under DARPA/Army contract DACA76-92-C-0041. Funding Information: ThiS work was funded by DARPA/TACOM contract; 21st AIPR Workshop on Interdisciplinary Computer Vision: An Exploration of Diverse Applications 1992 ; Conference date: 14-10-1992 Through 16-10-1992",

year = "1992",

doi = "10.1117/12.142793",

language = "English (US)",

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PY - 1992

Y1 - 1992

N2 - The fundamental theorem of projective geometry states that the transformation mapping coplanar points from an object onto an image plane can be determined given the correspondence between four or more object points and their projections in the image. This theorem can be used to predict where other features in the object plane will appear in the image, and conversely, to project new image features back onto the object plane. In this paper we examine what happens when these mathematical results are applied to real-world data containing random sensor noise and deviations from coplanarity.

AB - The fundamental theorem of projective geometry states that the transformation mapping coplanar points from an object onto an image plane can be determined given the correspondence between four or more object points and their projections in the image. This theorem can be used to predict where other features in the object plane will appear in the image, and conversely, to project new image features back onto the object plane. In this paper we examine what happens when these mathematical results are applied to real-world data containing random sensor noise and deviations from coplanarity.

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JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

SN - 0277-786X

T2 - 21st AIPR Workshop on Interdisciplinary Computer Vision: An Exploration of Diverse Applications 1992

Y2 - 14 October 1992 through 16 October 1992

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