6533b85dfe1ef96bd12bf18e

RESEARCH PRODUCT

Spline Algorithms for Deconvolution and Inversion of Heat Equation

Amir AverbuchValery A. ZheludevPekka Neittaanmäki

subject

Tikhonov regularizationBlind deconvolutionSmoothing splineSpline (mathematics)Computer scienceHeat equationDeconvolutionSpline interpolationThin plate splineAlgorithm

description

In this chapter, we present algorithms based on Tikhonov regularization for solving two related problems: deconvolution and inversion of heat equation. The algorithms, which utilize the SHA technique, provide explicit solutions to the problems in one and two dimensions.

https://doi.org/10.1007/978-94-017-8926-4_7