IBM Journal of Research and Development
IBM Skip to main content
  Home     Products & services     Support & downloads     My account  

  Select a country  
Journals Home  
  Systems Journal  
Journal of Research
and Development
    Current Issue  
    Recent Issues  
    Papers in Progress  
    Recent publications  
    Author's Guide  
  Contact Us  
  Related links:  
     IBM Research  

IBM Journal of Research and Development  
Volume 31, Number 2, Page 213 (1987)
Mathematics and Computing
  Full article: arrowPDF   arrowCopyright info


Fourier transforms that respect crystallographic symmetries

by L. Auslander, M. Shenefelt
In crystallography one has to compute finite Fourier transforms that are often very large and often respect crystallographic symmetries. In this paper we discuss efficient finite Fourier transform algorithms on 5×5×5 points that respect a collection of crystallographic symmetries. Although the size is too small for any practical problems, the methods indicated in this paper can be extended to problems of meaningful size.
Related Subjects: Fourier transforms; Mathematics