Projection and interpolation based techniques for structured and impulsive noise filtering

作者: Bishnu Lamichhane , Laura Rebollo Neira

DOI:

关键词: Missing dataProjection (set theory)Artificial intelligenceMathematicsInterpolationBilinear interpolationOblique projectionComputer visionImage processing

摘要: In this chapter we present the relevant mathematical background to address two well defined signal and image processing problems. Namely, problem of structured noise filtering interpolation missing data. The former is addressed by recourse oblique projection based techniques whilst latter, which can be considered equivalent impulsive filtering, tackled appropriate methods.

参考文章(29)
Endre Süli, David F. Mayers, An Introduction to Numerical Analysis Cambridge University Press. ,(2003) , 10.1017/CBO9780511801181
Aurél Galántai, Projectors and Projection Methods ,(2003)
Tony F. Chan, Jianhong (Jackie) Shen, Image Processing And Analysis: Variational, Pde, Wavelet, And Stochastic Methods Image Processing and Analysis: Variational, PDE, Wavelet, and Stochastic Methods. ,(2005) , 10.1137/1.9780898717877
Laura Rebollo-Neira, Bishnu P. Lamichhane, Sparse Representations for Structured Noise Filtering arXiv: Functional Analysis. ,(2008)
Richard Franke, Gregory M. Nielson, Scattered Data Interpolation and Applications: A Tutorial and Survey Geometric Modeling. pp. 131- 160 ,(1991) , 10.1007/978-3-642-76404-2_6
Michael I. Shamos, Franco P. Preparata, Computational Geometry: An Introduction ,(1978)
Laura Rebollo-Neira, Oblique Matching Pursuit IEEE Signal Processing Letters. ,vol. 14, pp. 703- 706 ,(2007) , 10.1109/LSP.2007.898317
Yonina C. Eldar, Sampling with Arbitrary Sampling and Reconstruction Spaces and Oblique Dual Frame Vectors Journal of Fourier Analysis and Applications. ,vol. 9, pp. 77- 96 ,(2003) , 10.1007/S00041-003-0004-2
Miroslav Andrle, Laura Rebollo-Neira, A swapping-based refinement of orthogonal matching pursuit strategies Signal Processing. ,vol. 86, pp. 480- 495 ,(2006) , 10.1016/J.SIGPRO.2005.05.034