Trade-offs between pseudohexagonal and pseudocubic filters

Kendall Preston Jr.

doi:10.1117/12.44339

1 April 1991 Trade-offs between pseudohexagonal and pseudocubic filters

Kendall Preston Jr.

Proceedings Volume 1451, Nonlinear Image Processing II; (1991) https://doi.org/10.1117/12.44339
Event: Electronic Imaging '91, 1991, San Jose, CA, United States

Abstract

In 1990 it was discovered that the traditional FCC (face-centered-cubic) coordinates used in 3D logical x-filtering may be mapped into IJK-coordinates in many different ways. Before this discovery one of the hexagonal planes of the FCC tessellation had been used as a base plane with the hexagon distorted into a Northeast-Southwest parallelogram. Three other parallelograms for this pseudo-hexagonal representation have now been discovered. All of these four mappings are now called 'pseudo- hexagonal.' Furthermore, pseudo-cubic tessellation, using the cubic planes as the base planes has been invented. The frequency response of x-filters in both the pseudo- hexagonal and pseudo-cubic mappings have now been investigated for ranks three, four, and five and for from one to twelve iterations. Another related investigation reported here concerns the interpolation between 3D serial sections where the resolution within a section is more finely grained that from section to section. Results of this investigation are presented for both the pseudo-hexagonal and pseudo-cubic mappings as related to the reconstruction of various organs in the human abdomen from serial-section tomography.

Citation Download Citation

Kendall Preston Jr. "Trade-offs between pseudohexagonal and pseudocubic filters", Proc. SPIE 1451, Nonlinear Image Processing II, (1 April 1991); https://doi.org/10.1117/12.44339

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