It has been argued that, for a spatially invariant imaging system, the information one can gain about the separation of two incoherent point sources decays quadratically to zero with decreasing separation. The effect is termed Rayleigh’s curse. Contrary to this belief, we identify a class of point-spread functions (PSFs) with a linear information decrease. Moreover, we show that any well-behaved symmetric PSF can be converted into such a form with a simple nonabsorbing signum filter. We experimentally demonstrate significant superresolution capabilities based on this idea.

中文翻译：

---

用PSF整形调和瑞利的诅咒

有人争辩说，对于一个空间不变的成像系统，人们可以获得的关于两个非相干点源的分离的信息随着分离的减小而二次衰减到零。这种效应被称为瑞利的诅咒。与此信念相反，我们确定了线性信息减少的一类点扩展函数（PSF）。此外，我们表明，任何行为良好的对称PSF都可以使用简单的非吸收性信号滤波器转换为这种形式。我们实验性地证明了基于此思想的超分辨率功能。