Conference material: "Proceedings of the International Conference on Computer Graphics and Vision “Graphicon” (22-25 September 2020, St. Petersburg)"
Authors:Markovsky A.N.
Polyharmonic Decomposition of a Digital Image
Abstract:
A decomposition of the space L2(Q) into a direct sum of polyharmonic subspaces is obtained. The completeness of shift systems of fundamental solution of polyharmonic equation is proved. A convergent algorithm for solving the problem of separating the polyharmonic component of a function from L2(Q) is developed. The resulting decomposition is applied to some digital image processing problems; the results of computational experiments are presented.
Keywords:
Polyharmonic Functions, Orthogonal Sum, Digital Images
