We explore the geometry linking the shape of a curved mirror sulface to the distortions it produces on a scene it re$ects. Our analysis is local and differential. We assume a simple calibrated scene composed of lines passing through a point. We demonstrate that local information about the geometry of the sulface may be recovered up to the second order from either the orientation and curvature of the images of two intersecting lines, or from the orientation of the images of three or more intersecting lines. An explicit solution for calculating shape and position of spherical mirror sulfaces is given.
REF analyzed the relationship between the image of a calibrated scene and the geometry of a curved mirror surface on which the scene is reflected.
Local analysis for 3D reconstruction of specular surfaces
Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001
Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001
Computer Science