超越繞射極限的可能?

[Wah!!]

在Google看到一本關於 Super Resolution Image Reconstruction 的書:
http://books.google.com.hk/books?id=LuQ ... &q&f=false

其中一頁寫到: (參考附件)
有沒有物理高手能解解畫?

[Wah!!]

http://www.isprs.org/proceedings/XXXVII ... I-3/15.pdf

2.1 Definition of Super Resolution
Noncoherent transfer function of an optical system is the autocorrelation of its pupil function, which means that the transfer function is necessarily band-limited. In another way, the value of transfer function should be zero when frequency determined by diffraction limit is above certain value. Apparently, deconvolution can only restore the spectrum of object to diffraction limit and cannot surpass it. However, by using Fourier transformation, we can get resolution above diffraction limit in theory. The restoration technology which is trying to restore the information above diffraction limit is called Super-resolution techniques. And the methods used in these techniques can be called Extrapolation of Band-limited.
Diffraction limiting Images of space objects can be obtain through high-resolution restoration of speckle images of these objects. But, with super-resolution information, resolution can be improved further by restoration and reconstruction of near-diffraction-limit images.

2.2 Principle
Super-resolution image reconstruction is based on the theory of Analytic Continuation, which means reconstruction of the whole analytic function according to its values in certain area. Because of diffraction of lights, spectrum distribution of certain image is infinite in space and optical system truncates its frequency to obtain frequency-truncated image that is finite in space. Generally, truncation function cannot be band-limited, but a diffraction limited optical system’s truncation is band-limited, therefore, the reconstruction of whole spectrum function or just spectrum function above certain frequency is possible.

[Wah!!]

http://cds.aanda.org/articles/aa/pdf/20 ... 320-04.pdf

5. Conclusions
We have shown that super-resolution, i.e. resolution beyond the telescopic diffraction limit, is possible for point-like objects like stars in agreement with Lucy (1992b, and other work in the references) and Magain et al. (1998). However, superresolution cannot be achieved for extended objects which are not band-limited.

[funoooo]

等 昇仔回來啦！或者 Willis 可以幫忙。