The X-ray diffraction pattern of an object is the Fourier transform of its electron density distribution. Applying an inverse Fourier transformation to the diffraction pattern should in principle result in the restoration of the real-space structure of the object at different magnifications. However, the phase information is lost when the diffraction pattern is recorded on a detector, and the real-space structure is not restored without phase information. This is called the phase problem and has been the greatest obstacle in implementing X-ray diffraction techniques in wide fields. Recently, however, computer-based techniques have been developed to restore the real-space images of objects by recover or preserve phase information. These are collectively called coherent diffractive imaging (CDI). These techniques have been successfully implemented for high-contrast materials such as metal nanoparticles, but they have been less successful for low-contrast biological specimens. Also, it is generally believed that highly coherent X-ray beams are required such as the ones generated by X-ray free electron laser facilities. Here we show the results of implementation of the CDI techniques to diffraction patterns obtained in conventional storage-ring synchrotron radiation facilities. The materials include low-density biological specimens such as muscle and eukaryotic flagella. The successful implementation of the CDI techniques will greatly expand the usefulness of X-ray diffraction techniques.
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