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Details
Inventors: Cabral, Brian K.; Foran, James;
Assignee: Silicon Graphics, Inc. (Mountain View, CA)
Primary Examiner: Bruce; David Vernon
Assistant Examiner:
Attorney, Agent or Firm: Sterne, Kessler, Goldstein & Fox P.L.L.C.

Volume rendering and tomographic reconstruction center around solving two related integral equations: a volume rendering integral (a generalized Radon transform) and a filtered backprojection integral (the inverse Radon transform). Both of these equations are of the same mathematical form and can be dimensionally decomposed and approximated using Riemann sums over a series of resampled images. When viewed as a form of texture mapping and frame buffer accumulation, enormous hardware enabled performance acceleration is possible.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS I.
Nomenclature and Definitions The preferred embodiment of the invention is discussed in detail below.
While specific steps, configurations and arrangements are discussed, it should be understood that this is done for illustrative purposes only.
A person skilled in the relevant art will recognize that other steps, configurations and arrangements can be used without departing from the spirit and scope of the invention.
The preferred embodiment of the invention is described with reference to the figures where like reference numbers indicate identical or functionally similar elements.
Also in the figures, the left most digit of each reference number corresponds to the figure in which the reference number is first used.
The detailed descriptions which follow are presented in part in terms of algorithms and symbolic representations of operations on data bits within a computer memory representing attenuation data or other information.
These descriptions and representations are the means used by those skilled in the computer tomography and computer graphics arts to most effectively convey the substance of their work to others skilled in the art.
An algorithm is here, and generally, conceived to be a self-consistent sequence of steps leading to a desired result.
These steps are those requiring physical manipulations of physical quantities, e.
g.
, attenuation data.
Usually, though not necessarily, these quantities take the form of electrical or magnetic signals capable of being stored, transferred, combined, compared, and otherwise manipulated.
It proves convenient at times, principally for reasons of common usage, to refer to these signals as bits, values, symbols, characters, attenuation data, display data, terms, numbers, or the like.
It should be borne in mind, however, that all of these and similar terms are to be associated with the appropriate physical quantities or a discrete representation therein, and are merely used here as convenient labels applied to these quantities



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