| 摘要 |
A method and apparatus for enhancing signals such as images, speech, remotely sensed data, medical, tactile, radar and audio. It proceeds by the construction of certain discrete approximations to certain nonlinear time-dependent partial differential equations. These approximations preserve the variation of the discrete solution as discrete time increases for one space dimension. The approximate solutions satisfy certain maximum principles in one and two dimensions. Thus, the method enhances images and other general signals without being plagued by the phenomenon of ringing near edges and other features, or by smearing of these edges and other features, typical of the prior art. As discrete time increases the signal is enhanced. The process may reach steady state, but for some applications, the dynamical procedure is important. The method is fast, requiring only local operations on a special purpose computer described herein.
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