Gaussian diffeons for surface and image matching within a Lagrangian framework
The author introduces---through an optimal control formalism---a new Galerkin-like numerical scheme that is particularly suitable for image matching on surfaces. In order to make use of gradient-based methods, optimality conditions are derived. Beyond stressing the theoretical basis of the approach (by handling the corresponding infinite-dimensional optimization problem through a modification of a general scheme introduced in a previous paper [\textit{L. Younes}, Found. Comput. Math. 12, No. 3, 295--325 (2012; Zbl 1254.49026)]), the author provides several nice detailed pictures illustrating the numerical performance of the method.
scientific article; zbMATH DE number 6423965