"Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion" . "11"^^ . . . "258817" . "114" . . "A number of minimal problems of structure from motion for cameras with radial distortion have recently been solved. These problems are known to be numerically very challenging and in several cases there were no practical algorithms yielding solutions in FP. We make some crucial observations concerning the floating point implementation of Groebner basis computations and use these new insights to formulate fast and stable algorithms for two minimal problems with radial distortion previously solved in exact rational arithmetic only: (i) simultaneous estimation of essential matrix and a common radial distortion parameter for two partially calibrated views and six image point correspondences and (ii) estimation of fundamental matrix and two different radial distortion parameters for two uncalibrated views and nine image point correspondences. We demonstrate that these two problems can be efficiently solved in floating point arithmetic in simulated and real experiments."@en . . "2"^^ . . . "[C9E17B3D17CE]" . "Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion"@en . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "1077-3142" . "A number of minimal problems of structure from motion for cameras with radial distortion have recently been solved. These problems are known to be numerically very challenging and in several cases there were no practical algorithms yielding solutions in FP. We make some crucial observations concerning the floating point implementation of Groebner basis computations and use these new insights to formulate fast and stable algorithms for two minimal problems with radial distortion previously solved in exact rational arithmetic only: (i) simultaneous estimation of essential matrix and a common radial distortion parameter for two partially calibrated views and six image point correspondences and (ii) estimation of fundamental matrix and two different radial distortion parameters for two uncalibrated views and nine image point correspondences. We demonstrate that these two problems can be efficiently solved in floating point arithmetic in simulated and real experiments." . "Pajdla, Tom\u00E1\u0161" . . "21230" . "Josephson, K." . "\u00C4str\u00F6m, K." . "Computer Vision and Image Understanding" . "Byr\u00F6d, M." . . "Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion" . . . "000274337400007" . . "2" . . . "P(7E09062), R, Z(MSM6840770038)" . . "Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion"@en . "RIV/68407700:21230/10:00162858!RIV11-MSM-21230___" . "radial distortion calibration; minimal problems; Groebner basis"@en . . "RIV/68407700:21230/10:00162858" . . "5"^^ . . "K\u00FAkelov\u00E1, Zuzana" . .