Abstract for carr_cranioplasty_ieeeTMI97

IEEE Transactions on Medical Imaging, Vol. 16, No 1, pp 96-107, February 1997.


Jonathan C. Carr, W. Richard Fright, Richard K. Beatson

February 1997

Radial basis functions are presented as a practical solution to the problem of interpolating incomplete surfaces derived from three-dimensional (3D) medical graphics. The specific application considered is the design of cranial implants for the repair of defects, usually holes, in the skull.

Radial basis functions impose few restrictions on the geometry of the interpolation centers and are suited to problems where the interpolation centers do not form a regular grid. However, their high computational requirements have previously limited their use to problems where the number of interpolation centers is small (<300). Recently developed fast evaluation techniques have overcome these limitations and made radial basis interpolation a practical approach for larger data sets.

In this paper radial basis functions are fitted to depth-maps of the skull's surface, obtained from X-ray CT data using ray-tracing techniques. They are used to smoothly interpolate the surface of the skull across defect regions. The resulting mathematical description of the skull's surface can be evaluated at any desired resolution to be rendered on a graphics workstation, or to generate instructions for operating a CNC mill.

(ftp:) carr_cranioplasty_ieeeTMI97.ps.gz (http:) carr_cranioplasty_ieeeTMI97.ps.gz
PDF (automatically generated from original PostScript document - may be badly aliased on screen):
  (ftp:) carr_cranioplasty_ieeeTMI97.pdf | (http:) carr_cranioplasty_ieeeTMI97.pdf

If you have difficulty viewing files that end '.gz', which are gzip compressed, then you may be able to find tools to uncompress them at the gzip web site.

If you have difficulty viewing files that are in PostScript, (ending '.ps' or '.ps.gz'), then you may be able to find tools to view them at the gsview web site.

We have attempted to provide automatically generated PDF copies of documents for which only PostScript versions have previously been available. These are clearly marked in the database - due to the nature of the automatic conversion process, they are likely to be badly aliased when viewed at default resolution on screen by acroread.