Image Enhancement and Denoising by Complex Di usion Processes
نویسندگان
چکیده
The linear and nonlinear scale spaces are generalized in the complex domain, by combining the di usion equation with the simpli ed Schr odinger equation. A fundamental solution for the linear case is developed. Preliminary analysis of the complex di usion shows that the generalized di usion has properties of both forward and inverse di usion. An important observation, supported theoretically and numerically, is that the imaginary part can serve as an edge detector (smoothed second derivative scaled by time), when the complex di usion coeÆcient approaches the real axis. Based on this observation, we develop two nonlinear complex processes: a regularized shock lter for image enhancement and a ramp preserving denoising process.
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