The inverse perspective problem from a single view for polyhedra location
- 1 January 1988
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- No. 10636919,p. 61-66
- https://doi.org/10.1109/cvpr.1988.196215
Abstract
A method to find the analytical solutions of the inverse perspective problem for the determination of the 3-D object attitude in space from a single perspective image is presented. Its principle is based on the interpretation of a triplet of any image lines as the perspective projection of triplet of linear ridges of the object model. The geometrical transformations to apply to the model to bring it into the corresponding location are obtained by the resolution of an eighth-degree equation. The number of admissible solutions can still be reduced, using simple pruning rules. This approach leads to very strong results useful for both location and recognition of 3D objects. Because few admissible hypotheses are retained, the line-matching procedure by prediction-verification is less complex.Keywords
This publication has 7 references indexed in Scilit:
- Vehicular air-bag control based on energy, momentum, and semimetric spacesIEEE Transactions on Vehicular Technology, 2000
- Polyhedra Recognition by Hypothesis AccumulationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1987
- New Methods for Matching 3-D Objects with Single Perspective ViewsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1987
- Perceptual Organization and Visual RecognitionPublished by Springer Nature ,1985
- Recovery of the three-dimensional shape of an object from a single viewArtificial Intelligence, 1981
- Random sample consensusCommunications of the ACM, 1981
- Using perspective transformations in scene analysisComputer Graphics and Image Processing, 1980