Local Analysis for 3D Reconstruction of Specular Surfaces - Part II
Abstract
We analyze the problem of recovering the shape of a mirror surface. We generalize the results of [ 1 ], where the special case of planar and spherical mirror surfaces was considered, extending that analysis to any smooth surface. A calibrated scene composed of lines passing through a point is assumed. The lines are reflected by the mirror surface onto the image plane of a calibrated camera, where the intersection and orientation of such reflections are measured. The relationship between the local geometry of the surface around the point of reflection and the measurements is analyzed. We give necessary and sufficient conditions, as well as a practical algorithm, for recovering first order local information (positions and normals) when three intersecting lines are visible. A small number of ‘ghost solutions’ may arise. Second order surface geometry may also be obtained up to one unknown parameter. Experimental results with real mirror surfaces are presented.
Cite
Text
Savarese and Perona. "Local Analysis for 3D Reconstruction of Specular Surfaces - Part II." European Conference on Computer Vision, 2002. doi:10.1007/3-540-47967-8_51Markdown
[Savarese and Perona. "Local Analysis for 3D Reconstruction of Specular Surfaces - Part II." European Conference on Computer Vision, 2002.](https://mlanthology.org/eccv/2002/savarese2002eccv-local/) doi:10.1007/3-540-47967-8_51BibTeX
@inproceedings{savarese2002eccv-local,
title = {{Local Analysis for 3D Reconstruction of Specular Surfaces - Part II}},
author = {Savarese, Silvio and Perona, Pietro},
booktitle = {European Conference on Computer Vision},
year = {2002},
pages = {759-774},
doi = {10.1007/3-540-47967-8_51},
url = {https://mlanthology.org/eccv/2002/savarese2002eccv-local/}
}