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Additional Examples

In this section, we present further images which are enhanced by means of our min/max flows. We begin with a series of medical images in Figure 13; here, no noise is artificially added, and instead our goal is to enhance certain features within the given images.

  
Figure 13: Min/Max Flow with Selective Smoothing

Next, we study the effect of our min/max scheme on multiplicative noise added to a grey-scale image. In Figure 14 we show the reconstruction of an image with multiplicative noise.

  
Figure 14: Min/Max Flow Applied to Multiplicative Noise

Next, we add Gaussian grey-scale noise; that is, a random component drawn from a Gaussian distribution with mean zero is added to each (every) pixel. In Figure 15 we show the original with noise together with the reconstructed min/max flow image. Here we use the coupling .

  
Figure 15: Continuous Gaussian Noise added to Image

Finally, we apply our scheme to a color image with Gaussian color noise added; that is, Gaussian noise added to all three channels. In Figure 16(c) we show the original with noise and in Figure 16(d) we show the image reconstructed using min/max flow.

  
Figure 16: Reconstruction of color images using Min/Max flow: (This is a 24-bit color image; quality is degraded if grey-scale reproduced.)

Acknowledgements
: All calculations were performed at the University of California at Berkeley and the Lawrence Berkeley National Laboratory. We would like to thank Guillermo Sapiro for helpful discussions.



Bob Fisher
Fri Nov 7 13:12:05 GMT 1997