6533b7cffe1ef96bd1258611
RESEARCH PRODUCT
A New Set of Quartic Trivariate Polynomial Equations for Stratified Camera Self-calibration under Zero-Skew and Constant Parameters Assumptions
David FofiAdlane HabedKassem Al Ismaeilsubject
PolynomialZero skewCalibration (statistics)Mathematical analysisPrincipal point[INFO.INFO-CV]Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]020207 software engineering02 engineering and technology[ INFO.INFO-CV ] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]Set (abstract data type)[INFO.INFO-CV] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]Plane at infinityQuartic functionComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingConstant (mathematics)ComputingMilieux_MISCELLANEOUSMathematicsdescription
This paper deals with the problem of self-calibrating a moving camera with constant parameters. We propose a new set of quartic trivariate polynomial equations in the unknown coordinates of the plane at infinity derived under the no-skew assumption. Our new equations allow to further enforce the constancy of the principal point across all images while retrieving the plane at infinity. Six such polynomials, four of which are independent, are obtained for each triplet of images. The proposed equations can be solved along with the so-called modulus constraints and allow to improve the performance of existing methods.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-11-01 |