Directional Denoising Using Fourier Spectrum Cloning

Fourier filtering for image denoising consists in masking parts of the Fourier spectrum of an image and using inverse Fourier transform of the masked image to obtain the denoised one. In cases of directional noise, this process can induce artifacts, mainly because of the spatial coherence that exists in the theoretical noisefree image. Moreover, it can lead to loss of low-frequency content that is important in applications such as fringe projection technique, which aims at measuring 3D elevations of a surface. A method based on the principle of Fourier spectrum cloning for the denoising of images is proposed in this chapter. This method improves the PSNR and the SSIM ratio in comparison with spectrum masking denoising. The method will be detailed first, and then examples of image denoising in two different applications will be presented.

[1]  D. Braun,et al.  Phase noise and the classification of natural images , 2006, Vision Research.

[2]  A.V. Oppenheim,et al.  The importance of phase in signals , 1980, Proceedings of the IEEE.

[3]  Anand Asundi,et al.  Phase error analysis and compensation for nonsinusoidal waveforms in phase-shifting digital fringe projection profilometry. , 2009, Optics letters.

[4]  Djemel Ziou,et al.  Image Quality Metrics: PSNR vs. SSIM , 2010, 2010 20th International Conference on Pattern Recognition.

[5]  Fu-Pen Chiang,et al.  High-speed 3-D shape measurement based on digital fringe projection , 2003 .

[6]  V. Valle,et al.  Optical Techniques for Relief Study of Mona Lisa’s Wooden Support , 2007 .

[7]  Jérôme Molimard,et al.  Corrigendum to “On the nonlinear deformations of thin unsymmetric 0/90 composite plates under hygrothermal loads” [Composites: Part A 37 (2006) 624–629] , 2007 .

[8]  J. Molimard,et al.  Grid Method, Moiré and Deflectometry , 2012 .

[9]  Cesar A. Sciammarella,et al.  High-accuracy contouring using projection moiré , 2005 .

[10]  J. Peipe,et al.  3D MODELING OF HERITAGE OBJECTS BY FRINGE PROJECTION AND LASER SCANNING SYSTEMS , 2007 .

[11]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.

[12]  Y Surrel,et al.  Additive noise effect in digital phase detection. , 1997, Applied optics.

[13]  D Black,et al.  Skin topography measurement by interference fringe projection: a technical validation , 2001, Skin research and technology : official journal of International Society for Bioengineering and the Skin (ISBS) [and] International Society for Digital Imaging of Skin (ISDIS) [and] International Society for Skin Imaging.

[14]  T. S. Huang,et al.  Advances in computer vision & image processing , 1988 .

[15]  Jérôme Molimard,et al.  Uncertainty analysis of temporal phase-stepping algorithms for interferometry , 2007 .

[16]  P. Picart,et al.  Demodulation of Spatial Carrier Images: Performance Analysis of Several Algorithms Using a Single Image , 2013, 1310.0725.

[17]  Peng Wang,et al.  Characterization of Liquid Resin Infusion (LRI) filling by fringe pattern projection and in situ thermocouples , 2010 .

[18]  Jérôme Molimard,et al.  Uncertainty on fringe projection technique: A Monte-Carlo-based approach , 2013 .