Quadric reconstruction from dual-space geometry

Author

Cross, Geoffrey ; Zisserman, Andrew

Author_Institution

Dept. of Eng. Sci., Oxford Univ., UK

fYear

1998

fDate

4-7 Jan 1998

Firstpage

25

Lastpage

31

Abstract

We describe the recovery of a quadric surface from its image in two or more perspective views. The recovered quadric is used in 3D modeling and image registration applications. There are three novel contributions. First, it is shown that a one parameter family of quadrics is recovered from outlines in two views. The ambiguity is reduced to twofold given a point correspondence. There is no ambiguity from outlines in three or more views. Second, it is shown that degenerate quadrics reduce the ambiguity of reconstruction. Third, it is shown that surfaces can be piecewise quadric approximated from piecewise conic approximations of their outlines. All these cases are illustrated by examples with real images. Implementation details are given and the quality of the results is assessed

Keywords

image reconstruction; image registration; 3D modeling; degenerate quadrics; dual-space geometry; image registration applications; piecewise conic approximations; point correspondence; quadric reconstruction; Cameras; Computational geometry; Engine cylinders; Image reconstruction; Image sequences; Robots; Surface reconstruction; Surface texture; Symmetric matrices; Tensile stress;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Vision, 1998. Sixth International Conference on

Conference_Location

Bombay

Print_ISBN

81-7319-221-9

Type

conf

DOI

10.1109/ICCV.1998.710697

Filename

710697