Title :
Closed Form Solution of Perspective 3-Point Problem (P3P) Based on Algebraic Resultant and SVD
Author_Institution :
Key Lab. of Geol. Hazards on Three Gorges Reservoir Area, China Three Gorges Univ., Yichang, China
Abstract :
Perspective 3-point problem (P3P) is one of the most fundamental issues in computer vision and photogrammetry. The paper puts forward the algebraic (multipolynomial) resultant to analytically determine the camera-point (camera projective center to control point) distances, and presents the closed form solution of camera position and orientation based on SVD. The numerical case study shows the approach is correct and efficient for the case of arbitrary pose angles image.
Keywords :
cameras; computer vision; geometry; photogrammetry; polynomials; singular value decomposition; SVD; algebraic resultant; camera orientation; camera position; camera-point distances; closed form solution; computer vision; multipolynomial resultant; perspective 3-point problem; photogrammetry; singular value decomposition; Cameras; Closed-form solution; Mathematical model; Matrix decomposition; Polynomials; Quaternions;
Conference_Titel :
Information Engineering and Computer Science (ICIECS), 2010 2nd International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-7939-9
Electronic_ISBN :
2156-7379
DOI :
10.1109/ICIECS.2010.5678137
