1) The document presents a method for reconstructing a 3D model of a piece of paper from a single 2D image by using a template, when the paper deformations result in parallel rulings like pages of a book. 2) It shows that under the assumption of parallel rulings, the problem can be reduced to reconstructing 2D points given a pair of 1D cameras, making the problem well-posed. 3) The paper formulates the reconstruction as a functional optimization problem that is solved numerically to recover the 3D shape and pose of the paper. Experimental results demonstrate applications like texture replacement and occlusion handling.

1. Template-based Paper Reconstruction from a Single Image is Well Posed when the Rulings are Parallel Pierluigi Taddei , Politecnico di Milano, Milano, Italy [email_address] Adrien Bartoli, LASMEA (CNRS / UBP), Clermont-Ferrand, France [email_address]

6. a well-posed problem

9. reduction to a 2D problem

13. solving the problem

18. recover the generatrix plane

23. experimental results

24. Experimental results

25. Experimental results

26. Experimental results (texture replacement)

27. Experimental results (augmentation)

28. Experimental results (handling occlusion)