A Novel Algebaric Variety Based Model for High Quality Free-Viewpoint View Synthesis on a Krylov Subspace

This paper presents a new depth-image-based rendering algorithm for free-viewpoint 3DTV applications. The cracks, holes, ghost countors caused by visibility, disocclusion, resampling problems associated with 3D warping lead to serious rendering artifacts in synthesized virtual views. This challenging problem of hole filling is formulated as an algebraic matrix completion problem on a higher dimensional space of monomial features described by a novel variety model. The high-level idea of this work is to exploit the linear or nonlinear structures of the data and interpolate missing values by solving algebraic varieties associated with Hankel matrices as a member of Krylov subspace. The proposed model effectively handles artifacts appear in wide-baseline spatial view interpolation and arbitrary camera movements. Our model has a low runtime and results excel with state-of-the-art methods in quantitative and qualitative evaluation.