Multiview Reconstruction of Space Curves

Is the real problem in resolving correspondence using current stereo algorithms the lack of the "right" matching criterion? In studying the related task of reconstructing threedimensional space curves from their projections in multiple views, we suggest that the problem is more basic: matching and reconstruction are coupled, and so reconstruction algorithms should exploit this rather than assuming that matching can be successfully performed before reconstruction. To realize this coupling, a generative model of curves is introduced which has two key components: (i) a prior distribution of general space curves and (ii) an image formation model which describes how 3D curves are projected onto the image plane. A novel aspect of the image formation model is that it uses an exact description of the gradient field of a piecewise constant image. Based on this forward model, a fully automatic algorithm for solving the inverse problem is developed for an arbitrary number of views. The...

• Type: Conference
• Year: 2003
• Where: ICCV
• Authors: Fredrik Kahl, Jonas August
• Keywords: Computer Vision, General Space Curves, ICCV 2003, Image Curve Extraction, Image Formation Model, Piecewise Constant Image, Threedimensional Space Curves