An edge-guided image interpolation algorithm via directional filtering and data fusion

Preserving edge structures is a challenge to image interpolation algorithms that reconstruct a high-resolution image from a low-resolution counterpart. We propose a new edge-guided nonlinear interpolation technique through directional filtering and data fusion. For a pixel to be interpolated, two observation sets are defined in two orthogonal directions, and each set produces an estimate of the pixel value. These directional estimates, modeled as different noisy measurements of the missing pixel are fused by the linear minimum mean square-error estimation (LMMSE) technique into a more robust estimate, using the statistics of the two observation sets. We also present a simplified version of the LMMSE-based interpolation algorithm to reduce computational cost without sacrificing much the interpolation performance. Experiments show that the new interpolation techniques can preserve edge sharpness and reduce ringing artifacts

[1]  P. P. Vaidyanathan,et al.  Efficient implementation of all-digital interpolation , 2001, IEEE Trans. Image Process..

[2]  D. Darian Muresan,et al.  Fast edge directed polynomial interpolation , 2005, IEEE International Conference on Image Processing 2005.

[3]  Thomas Martin Deserno,et al.  Survey: interpolation methods in medical image processing , 1999, IEEE Transactions on Medical Imaging.

[4]  Dimitris Anastassiou,et al.  Subpixel edge localization and the interpolation of still images , 1995, IEEE Trans. Image Process..

[5]  Sheila S. Hemami,et al.  Regularity-preserving image interpolation , 1999, IEEE Trans. Image Process..

[6]  S. Mallat A wavelet tour of signal processing , 1998 .

[7]  Hsieh Hou,et al.  Cubic splines for image interpolation and digital filtering , 1978 .

[8]  Ioannis Pitas,et al.  Digital Image Processing Algorithms and Applications , 2000 .

[9]  S. Carrato,et al.  A high quality 2 x image interpolator , 2000, IEEE Signal Processing Letters.

[10]  François Malgouyres,et al.  Edge Direction Preserving Image Zooming: A Mathematical and Numerical Analysis , 2001, SIAM J. Numer. Anal..

[11]  Michael Unser,et al.  Enlargement or reduction of digital images with minimum loss of information , 1995, IEEE Trans. Image Process..

[12]  Akira Taguchi,et al.  An enlargement method of digital images with the prediction of high-frequency components , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[13]  E. Meijering A chronology of interpolation: from ancient astronomy to modern signal and image processing , 2002, Proc. IEEE.

[14]  Thomas W. Parks,et al.  Prediction of image detail , 2000, Proceedings 2000 International Conference on Image Processing (Cat. No.00CH37101).

[15]  R. Keys Cubic convolution interpolation for digital image processing , 1981 .

[16]  E. Meijering,et al.  A chronology of interpolation: from ancient astronomy to modern signal and image processing , 2002, Proc. IEEE.

[17]  Michael T. Orchard,et al.  Wavelet domain image interpolation via statistical estimation , 2001, Proceedings 2001 International Conference on Image Processing (Cat. No.01CH37205).

[18]  P. Laguna,et al.  Signal Processing , 2002, Yearbook of Medical Informatics.

[19]  Michael Unser,et al.  Splines: a perfect fit for signal and image processing , 1999, IEEE Signal Process. Mag..

[20]  E. Kamen,et al.  Introduction to Optimal Estimation , 1999 .