Analytical Solution of Shape from Shading Problem
نویسندگان
چکیده
A new geometrical approach in solving the shape from shading problem of Lambertian model is discussed. It is shown that this problem is bound by two local constraints through the global and local geometrical analysis and through the direct geometrical interpretation of the problem. The analytical solutions, which are C continuous and which have two degrees of freedom due to the non-linear property of the problem, are derived. This proves existence and non-uniqueness of the solution.
منابع مشابه
Geometric Solution of Shape from Shading Problem
A new geometrical approach in solving the shape from shading problem of Lambertian model is discussed. It is shown, through the global and local geometrical analysis, that the problem is bound by two local constraints. The C 1 continuous analytic solution is derived. The solution has two degrees of freedom due to the non-linearity of the problem. This shows the existence and the non-uniqueness ...
متن کاملProject Proposal: A Multiresolution Stochastic Approach for Shape From Shading Using Intensity Gradient Constraint
The objective of this project is the study of Shape from Shading (SfS) problem in a variational framework. Among the other shape recovery methods, SfS is employed to obtain three-dimensional shape using spatial variations of brightness in an image. In this study, SfS problem will be addressed as an energy minimization problem. A constraint which establishes a connection between intensity gradie...
متن کاملNumerical Solution of the Perspective Shape-from-Shading Problem
We study the Perspective Shape from Shading problem from the numerical point of view presenting a simple algorithm to compute its solution. The scheme is based on a semi-Lagrangian approximation of the first order Hamilton-Jacobi equation related to the problem. The scheme is converging to the weak solution (in the viscosity sense) of the equation and allows to compute accurately regular as wel...
متن کاملShape Information From Shading: A Theory About Human Perception
I present evidence that people assume a simple, linear reflectance function when interpreting shading information. Using this reflectance function I derive a closed-form solution to the problem of extracting shape information from image shading. The solution does not employ an assumption about surface smoothness and so is directly applicable to complex natural surfaces such as hair or cloth. A ...
متن کامل"Perspective Shape from Shading" and Viscosity Solutions
This article proposes a solution of the Lambertian shape from shading (SFS) problem in the case of a pinhole camera model (performing a perspective projection). Our approach is based upon the notion of viscosity solutions of HamiltonJacobi equations. This approach allows us to naturally deal with nonsmooth solutions and provides a mathematical framework for proving correctness of our algorithms...
متن کامل