Symmetry-constrained 3-D interpolation of viral X-ray crystallography data

A three-dimensional (3-D) interpolation problem that is important in viral X-ray crystallography is considered. The problem requires new methods because the function is known to have icosahedral symmetry, the data is corrupted by experimental errors and therefore lacks the symmetry, the problem is 3...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2000-01, Vol.48 (1), p.214-222
Main Authors: Yibin Zheng, Doerschuk, P.C., Johnson, J.E.
Format: Article
Language:English
Subjects:
Applied sciences
Biology computing
Cowpea mosaic virus
Cowpeas
Crystallization
Crystallography
Electrons
Exact sciences and technology
Fourier transforms
Image processing
Information, signal and communications theory
Interpolation
Lattices
Least squares method
Mathematical analysis
Mathematical models
Proteins
Research and development
Signal processing
Symmetry
Telecommunications and information theory
Viruses (medical)
X-rays
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Description
Summary:A three-dimensional (3-D) interpolation problem that is important in viral X-ray crystallography is considered. The problem requires new methods because the function is known to have icosahedral symmetry, the data is corrupted by experimental errors and therefore lacks the symmetry, the problem is 3-D, the measurements are irregularly spaced, and the number of measurements is large (10/sup 4/). A least-squares approach is taken using two sets of basis functions: the functions implied by a minimum-energy bandlimited exact interpolation problem and a complete orthonormal set of bandlimited functions. A numerical example of the Cowpea Mosaic Virus is described.
ISSN:1053-587X
1941-0476
DOI:10.1109/78.815491