Extrapolation of Incomplete Image Data with Discrete Orthogonal Transforms

Abstract

In image processing and transmission, interpolation andextrapolation are of great importance whenever missing pixels have tobe filled in, and many methods have been proposed to solve thisproblem. In this paper we present a method for extrapolating themissing data with an existing set of basis functions of a selectedorthogonal transform. The best extrapolation is found according tolinear approximation theory as a weighted sum of basis functions, wherecoefficients of the sum are solutions of the derived matrix equation.