Title :
Symmetry-constrained 3D interpolation for virus X-ray crystallography
Author :
Zheng, Yibin ; Doerschuk, Peter C. ; Johnson, John E.
Author_Institution :
Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN, USA
Abstract :
An interpolation problem that is important in viral X-ray crystallography is considered. The problem requires new methods because (1) the function is known to have icosahedral symmetry, (2) the data is corrupted by experimental errors and therefore lacks the symmetry, (3) the problem is 3D, (4) the measurements are irregularly spaced, and (5) the number of measurements is large (10**4). A least-squares approach is taken using two sets of basis functions: the functions implied by a minimum-energy band-limited exact interpolation problem and a complete orthonormal set of band-limited functions. A numerical example on Cowpea Mosaic virus is described
Keywords :
X-ray crystallography; X-ray diffraction; biological techniques; interpolation; least squares approximations; 3D problem; Cowpea Mosaic virus; band-limited functions; basis functions; experimental errors; icosahedral symmetry; interpolation problem; irregularly spaced measurements; least-squares approach; minimum-energy band-limited exact interpolation; orthonormal set; symmetry-constrained 3D interpolation; virus X-ray crystallography; Biology computing; Crystallization; Crystallography; Electrons; Fourier series; Fourier transforms; Interpolation; Proteins; Viruses (medical); X-ray diffraction;
Conference_Titel :
Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference on
Conference_Location :
Seattle, WA
Print_ISBN :
0-7803-4428-6
DOI :
10.1109/ICASSP.1998.678140
