Line Localization from Single Catadioptric Images

• DOI: 10.1007/s11263-011-0435-1
• Publication Date: 2011-03-30T18:03:50Z
• Authors: Simone Gasparini; Vincenzo Caglioti
• Keywords: Catadioptric system; Line (geometry); Parallel

Indoor environments often contain several line segments. The 3D reconstruction of such environ- ments can thus be reduced to the localization of lines in the 3D space. Multi-view reconstruction requires the solution of the correspondence problem. The use of a single image to localize space lines is attractive, since the correspondence problem can be avoided. However, using a central camera the line localization from sin- gle image is an ill-posed problem, because there are infinitely many lines sharing the same image. In this work we relaxed the constraint on single viewpoint imaging and considered a wide class of non-central catadioptric cameras, constituted by an axial symmetric mirror and a perspective camera placed at a generic relative position. In the paper we report the results of our study on line localization for such cameras, reporting the conditions that allow a line to be localized from a single image. We show how the analysis can be extended to other classes of non-central devices sharing a similar imaging model. We also present a brief overview of the main algorithms for line localization from single image that have been proposed.