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Prof. Dr. Kenneth C. Holmes

Telefon:+49 6221 486-270Fax:+49 6221 486-437

Referenzen

1
Klug, A.; Crowther, R. A.
Nature 238, 435 - 440 (1972)
2
Gilbert, P.
Ph.D. Thesis
University of Cambridge (1972)
3
Crowther, R. A.; DeRosier, D. J.; Klug, A.
Proc. R. Soc. Lond. A 317 (1530) 319 - 340 (1970)
4
Diamond, R.
Acta Cryst. B 25, 805 (1969)
5
Holmes, K. C.; Angert, I.; Kull, F. J.; Jahn, W.; Schröder, R. R.
Nature 425, 423 - 427 (2003)

Axial Tomography by filtered least squares

The Eigenfunctions


<p><strong>Fig 3</strong>: Each of the eigenvectors of H<sup>T</sup>H (one of the the columns of V) may be mapped onto the lattice since each component of the vector is associated with a lattice point. When we do this we generate two-dimensional functions in the circular space we have chosen for the solution. These functions are (by definition) orthonormal. Because we have chosen a circular boundary, they look rather like cylinder functions. In fact they have a symmetry characteristic of the geometry of the problem.</p>
Bild vergrößern

Fig 3: Each of the eigenvectors of HTH (one of the the columns of V) may be mapped onto the lattice since each component of the vector is associated with a lattice point. When we do this we generate two-dimensional functions in the circular space we have chosen for the solution. These functions are (by definition) orthonormal. Because we have chosen a circular boundary, they look rather like cylinder functions. In fact they have a symmetry characteristic of the geometry of the problem.

[weniger]

Each of the eigenvectors of HTH (one of the the columns of V) may be mapped onto the lattice since each component of the vector is associated with a lattice point. When we do this we generate two-dimensional functions in the circular space we have chosen for the solution. These functions are (by definition) orthonormal. Because we have chosen a circular boundary, they look rather like cylinder functions. In fact they have a symmetry characteristic of the geometry of the problem. Some examples from a case considered below are shown in Fig 3.

 
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