Applications of nonlinear and fractional diffusion processes tosignal processing in Raman spectroscopy

André Persechino

Resumo


Raman Spectroscopy (RS) is a powerful analytical technique, based on the inelastic scatteringof light by the analyte. Its versatility lies on the fact that a wide range of materials can be analyzedin a non-destructive testing (NDT) fashion, ranging from bulk mineralogy to characterization ofhighly sensitive biological samples [6]. Despite such “universality”, Raman scattering cross-sectionis quite small, in such a manner signals are very often observed in noisy environments, accountingdifferent contributions, e.g. from fluorescence and CCD shot noise. [...]

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Referências


Du, P., Kibbe, W. A., Lin, S. M. Improved peak detection in mass spectrum by incorporatingcontinuous wavelet transform-based pattern matching.Bioinformatics, 22:2059–2065, 2006.DOI: 10.1093/bioinformatics/btl355.

Duits, R., Florack, L., de Graaf, J., Romeny, B. ter Haar. On the Axioms of ScaleSpace Theory.Journal of Mathematical Imaging and Vision, 20:267–298, 2004. DOI:https://doi.org/10.1023/B:JMIV.0000024043.96722.aa.

Li, Y., Ding, Y., Li, T. Nonlinear diffusion filtering for peak-preserving smoothing of aspectrum signal.Chemometrics and Intelligent Laboratory Systems, 156:157–165, 2016. DOI:http://dx.doi.org/10.1016/j.chemolab.2016.06.007.

Perona, P., Malik, J. Scale-space and edge detection using anisotropic diffusion.IEEE Transac-tions on Pattern Analysis and Machine Intelligence, 12:629–639, 1990. DOI: 10.1109/34.56205

Persechino, A. Introduction to fractional calculus:Numerical methods and appli-cation to HF dielectric response.Advanced Electromagnetics, 9:19–30, 2020. DOI:https://doi.org/10.7716/aem.v9i1.1192

Turrell, G., Corset, J. (Edits.).Raman Microscopy: developments and applications, 1st ed.Elsevier Academic Press, Oxford, 1996.


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