The Inverse of Perspective Projections
Summary :
A perspective projection is a useful two dimensional representation of a three dimensional world. In general, it is difficult to reconstruct the three dimensional information from the two dimensional image because some of the three dimensional information is lost in the perspective projection. The inverse of perspective projections is difined as a procedure to reconstruct the three dimensional information from a perspective projection. Characteristics of perspective projections, especially their degeneracy, are discussed in detail. Generally, even by treating several points at the same time and knowing the geometric relations between those points, the problem cannot be solved uniquely. We give several sufficient conditions for making the inverse unique. We discuss the inverse of perspective projections mainly from the theoretical point of view in this paper but possible applications of the method are also discussed briefly. A computer simulation of the algorithm is also given.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E64-E No.6 pp.406-413
- Publication Date
- 1981/06/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Data Processing
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Masaaki SHIMASAKI, "The Inverse of Perspective Projections" in IEICE TRANSACTIONS on transactions,
vol. E64-E, no. 6, pp. 406-413, June 1981, doi: .
Abstract: A perspective projection is a useful two dimensional representation of a three dimensional world. In general, it is difficult to reconstruct the three dimensional information from the two dimensional image because some of the three dimensional information is lost in the perspective projection. The inverse of perspective projections is difined as a procedure to reconstruct the three dimensional information from a perspective projection. Characteristics of perspective projections, especially their degeneracy, are discussed in detail. Generally, even by treating several points at the same time and knowing the geometric relations between those points, the problem cannot be solved uniquely. We give several sufficient conditions for making the inverse unique. We discuss the inverse of perspective projections mainly from the theoretical point of view in this paper but possible applications of the method are also discussed briefly. A computer simulation of the algorithm is also given.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e64-e_6_406/_p
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@ARTICLE{e64-e_6_406,
author={Masaaki SHIMASAKI, },
journal={IEICE TRANSACTIONS on transactions},
title={The Inverse of Perspective Projections},
year={1981},
volume={E64-E},
number={6},
pages={406-413},
abstract={A perspective projection is a useful two dimensional representation of a three dimensional world. In general, it is difficult to reconstruct the three dimensional information from the two dimensional image because some of the three dimensional information is lost in the perspective projection. The inverse of perspective projections is difined as a procedure to reconstruct the three dimensional information from a perspective projection. Characteristics of perspective projections, especially their degeneracy, are discussed in detail. Generally, even by treating several points at the same time and knowing the geometric relations between those points, the problem cannot be solved uniquely. We give several sufficient conditions for making the inverse unique. We discuss the inverse of perspective projections mainly from the theoretical point of view in this paper but possible applications of the method are also discussed briefly. A computer simulation of the algorithm is also given.},
keywords={},
doi={},
ISSN={},
month={June},}
Copy
TY - JOUR
TI - The Inverse of Perspective Projections
T2 - IEICE TRANSACTIONS on transactions
SP - 406
EP - 413
AU - Masaaki SHIMASAKI
PY - 1981
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E64-E
IS - 6
JA - IEICE TRANSACTIONS on transactions
Y1 - June 1981
AB - A perspective projection is a useful two dimensional representation of a three dimensional world. In general, it is difficult to reconstruct the three dimensional information from the two dimensional image because some of the three dimensional information is lost in the perspective projection. The inverse of perspective projections is difined as a procedure to reconstruct the three dimensional information from a perspective projection. Characteristics of perspective projections, especially their degeneracy, are discussed in detail. Generally, even by treating several points at the same time and knowing the geometric relations between those points, the problem cannot be solved uniquely. We give several sufficient conditions for making the inverse unique. We discuss the inverse of perspective projections mainly from the theoretical point of view in this paper but possible applications of the method are also discussed briefly. A computer simulation of the algorithm is also given.
ER -
English
