Isowarp and Conwarp: Warps that Exactly Comply with Weak-Perspective Projection of Deforming Objects
Daniel Pizarro, Adrien Bartoli, Toby Collins · 2013
This paper studies the problem of surface reconstruction from a single image, given a template of the surface. We investigate the variational structure of the reconstruction problem for isometric and conformal deformations and weak-perspective camera projections. We give analytical solutions for the surface shape given that the registration warp between the template and the input image meets specific differential constraints. We explore those constraints, giving an optimization strategy to compute warps that comply with isometric and conformal deformations under weak-perspective projection. We study the performance of the proposed algorithms with synthetic and real datasets. The experiments show that surface reconstruction with weak-perspective is accurate when using cameras with large focal lengths and improves state of the art methods.