Title
A Geometric PDE for Interpolation of M-Channel Data
Abstract
We propose a partial differential equation to be used for interpolating M -channel data, such as digital color images. This equation is derived via a semi-group from a variational regularization method for minimizing displacement errors. For actual image interpolation, the solution of the PDE is projected onto a space of functions satisfying interpolation constraints. A comparison of the test results with standard and state-of-the-art interpolation algorithms shows the competitiveness of this approach.
Year
DOI
Venue
2009
10.1007/978-3-642-02256-2_35
SSVM
Keywords
Field
DocType
actual image interpolation,m-channel data,geometric pde,test result,displacement error,interpolating m,digital color image,partial differential equation,interpolation constraint,variational regularization method,channel data,state-of-the-art interpolation algorithm,satisfiability,color image,image interpolation
Nearest-neighbor interpolation,Applied mathematics,Multivariate interpolation,Spline interpolation,Mathematical analysis,Interpolation,Stairstep interpolation,Trilinear interpolation,Linear interpolation,Mathematics,Bilinear interpolation
Conference
Volume
ISSN
Citations 
5567
0302-9743
4
PageRank 
References 
Authors
0.50
13
2
Name
Order
Citations
PageRank
Frank Lenzen115716.85
Otmar Scherzer234652.10