Paper
9 November 1993 Crystallographic phase retrieval through image processing under constraints
Kam Y. J. Zhang
Author Affiliations +
Abstract
The crystallographic image processing techniques of Sayre's equation, molecular averaging, solvent flattening and histogram matching are combined in an integrated procedure for macromolecular phase retrieval. It employs the constraints of the local shape of electron density, equal molecules, solvent flatness and correct electron density distribution. These constraints on electron density image are satisfied simultaneously by solving a system of non- linear equations using fast Fourier transform. The electron density image is further filtered under the constraint of observed diffraction amplitudes. The effect of each constraint on phase retrieval is examined. The constraints are found to work synergistically in phase retrieval. Test results on 2Zn insulin are presented.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Kam Y. J. Zhang "Crystallographic phase retrieval through image processing under constraints", Proc. SPIE 2029, Digital Image Recovery and Synthesis II, (9 November 1993); https://doi.org/10.1117/12.161989
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KEYWORDS
Crystals

Phase retrieval

Molecules

Chemical species

Image restoration

Image processing

Fourier transforms

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