Title: Stereo Vision-Based Conic Reconstruction Using a Ray-Quadric Intersection
Abstract:This paper presents a new method for inverse geometric reconstruction of conics in 3D space using a ray–surface intersection. The perspective views of the conic in both the image planes are used as th...This paper presents a new method for inverse geometric reconstruction of conics in 3D space using a ray–surface intersection. The perspective views of the conic in both the image planes are used as the input of the reconstruction algorithm. Least-square curve fitting is used in one of the 2D image planes to obtain the algebraic equation of the projected conic. The ray–surface intersection is performed using a second-order method, where a new criterion is given to provide the unique intersection. A plane is fitted through the evolved intersection points. The constructed plane cuts the conical surface to the desired conic. The proposed method does not require to establish correspondence between the two perspective views. Moreover, it requires only three intersection points. Various experiments are presented to support the validity of the proposed algorithm. Simulation studies are also performed to observe the effect of noise on errors of reconstruction. Effect of quantization errors are also considered in the final reconstruction.Read More
Publication Year: 2015
Publication Date: 2015-08-12
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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