Free-form surface reconstruction from arbitrary perspective images

In this paper, a new algorithm for surface reconstruction from their arbitrary perspective images is presented. An optimization formulation for such type of reconstruction problem, based on a Non-Uniform Rational B-Spline (NURBS) surface model is adopted. It converts reconstruction of a 3D surface into reconstruction of control points and weight vectors of a NURBS representation of the surface. Perspective invariance property of NURBS surface is used to formulate the 3D surface reconstruction problem as a nonlinear optimization problem. The fitting is obtained by solving a quadratic programming problem for finding the weight vectors of NURBS surface and then solving a system of linear equation for finding control points. A comparison study is shown in terms of various type of errors between proposed and triangulation based approach where point-to-point correspondence is required.