William H. Payne

Correction for spectral artifacts in cross-sectional reconstruction from x rays.

A monoenergetic response correction is described which, along with adequate filtration, may be used to remove the spectral shift artifact encountered in three-dimensional reconstruction from x rays. Reconstructions were carried out by means of a convolution algorithm for simulated data using this method. These are compared with reconstructions obtained using fixed-length water-bath scans as a remedy for the special artifact. These studies suggest that the spectral artifact can be successfully eliminated from computerized cross-sectional scans without resorting to the use of the water bath while, at the same time, improving quantum statistics and/or permitting operation at a lower tube current.

Experimental and calculated bremsstrahlung spectra from a 25‐MeV linear accelerator and a 19‐MeV betatron

The bremsstrahlung spectra from a 25‐MeV linear accelerator and a 19‐MeV betatron have been measured using a NaI(Tl) spectrometer system. The spectra show a low energy cut‐off at 0.6 and 0.4 MeV, respectively, and the maximum photon energies were 26.8 and 19 MeV, respectively. Cross sections, thin‐ and thick‐target photon spectra and total electron energy losses (collision and radiative) were computed using a digital computer for tungsten ( Z = 74 ) and platinum ( Z = 78 ) targets. The measured spectra were compared to the calculated spectra for thin and thick targets using electron kinetic energies of 26.75 and 19 MeV. The photon spectra from the two therapy units are different; however, depth dose data (10 × 10 cm, 100 cm TSD) are approximately the same. In addition, narrow‐beam attenuation coefficients in lead for the two machines were measured. The effective energy derived from the first HVL was 8.1 MeV for the linear accelerator and 7.8 MeV for the betatron.

Calculated mammographic spectra confirmed with attenuation curves for molybdenum, rhodium, and tungsten targets

A model for calculating mammographic spectra independent of measured data and fitting parameters is presented. This model is based on first principles. Spectra were calculated using various target and filter combinations such as molybdenum/molybdenum, molybdenum/rhodium, rhodium/rhodium, and tungsten/aluminum. Once the spectra were calculated, attenuation curves were calculated and compared to measured attenuation curves. The attenuation curves were calculated and measured using aluminum alloy 1100 or high purity aluminum filtration. Percent differences were computed between the measured and calculated attenuation curves resulting in an average of 5.21% difference for tungsten/aluminum, 2.26% for molybdenum/molybdenum, 3.35% for rhodium/rhodium, and 3.18% for molybdenum/rhodium. Calculated spectra were also compared to measured spectra from the Food and Drug Administration [Fewell and Shuping, Handbook of Mammographic X-ray Spectra (U.S. Government Printing Office, Washington, D.C., 1979)] and a comparison will also be presented.

Spectral effects on three‐dimensional reconstruction from x rays

Continuous bremsstrahlung spectra were calculated for 120 kVp for constant and sinusoidal potentials. Fluorescent radiation for the tungsten target was added to the bremsstrahlung, and the spectra were attenuated through various filter materials. A drawing of an object to be scanned was divided into an array of small squares in which the composition was assumed to be constant. Transmission data for 120 rays at each of 120 angles spanning a range of 180 degrees were calculated. Two algorithms for the reconstruction of attenuation coefficients from projection data, an algebraic reconstruction technique (ART) and the convolution method, were utilized to reconstruct effective coefficients. The effect of spectral filtration on the quality of the reconstruction was evaluated. Lightly filtered x-ray beams give rise to severe distortions in image quality, with values of the reconstructed coefficients rising toward the periphery of the object. Highly filtered beams give rise to images with less pronounced distortion.

Estimation of chemical composition and density from computed tomography carried out at a number of energies.

A method is presented by whichcomputed tomography scans carried out at a number of energies may be utilized to obtain cross-sectional images of density and atomic number in addition to the conventional array of linear attenuation coefficients. This type of analysis has been carried out for various substances of biological relevance. Computer simulated reconstructions of clinical situations suggest that the method shows promise for providing additional diagnostic information and might dispense to some extent with the necessity of injecting contrast agents into the patient.

Correlating computed tomographic numbers with physical properties and operating kilovoltage

The decrease in the EMI values of a dextrose solution which is seen with increasing kVp may be predicted on the basis of its fractional composition by weight.

Extrapolation of linear attenuation coefficients of biological materials from diagnostic-energy x-ray levels to the megavoltage range.

A dual-energy algorithm is used in determining the effective atomic number, atomic density, and electron density of biological substances. These quantities are then used to calculate linear attenuation coefficients at the megavolttage level. The validity of this method is checked several ways, including a comparison of extrapolated values with experimental data reported by Rao and Gregg where linear attenuation coefficients at 60 and 122 keV are used to extrapolate coefficients at 662 keV. Except for a few instances, the extrapolated values agree quite well with the reported experimental values. This method is also used to calculate coefficients at the 60Co range, and these are compared with experimental values measured in water and various types of tissue-equivalent materials. An additional algorithm is developed to extrapolate coefficients in water and bone up to 10 MeV. These quantities are compared with accepted values previously reported in the literature.

Preprocessing X-Ray Transmission Data In CT Scanning

While the reconstruction algorithm utilized in computerized tomography (CT) is important, the overall performance of the system is limited by the quality of the measured transmission data which is used as the basis for the reconstruction process. If the projection values derived from the measured data do not adequately represent the line integrals of the linear attenuation coefficients within the slice being scanned, even a perfect reconstruction algorithm will give rise to a distorted image. Phenomena which tend to deteriorate the quality of the measured data, and hence the final image, include the effective finite dimensions of the scanning aperture, distortions introduced by the detector system such as afterglow, and nonlinearities related to the spectral distribution of x-ray photons used in scanning. Computer methods of preprocessing the x-ray transmission data to minimize these distortions are discussed and illustrated.

Treatment planning in Cobalt-60 radiotherapy using computerized tomography techniques.

Cobalt-60 transmission measurements were made through an Alderson phantom utilizing a transverse axial tomographic device and a NaI (Tl) detector. Measurements were made on different sections of the phantom for as many as 162 angles and 120 linear increments. The attenuation coefficients were reconstructed using both convolution and algebraic reconstruction techniques. Three-dimensional isodose distributions were obtained using the reconstructed attenuation coefficients. Comparison with standard treatment plans and measured isodose distribution using TLD techniques suggest that a more accurate isodose distribution may be obtained using the reconstructed attenuation coefficients, particularly in regions involving tissue heterogeneities.

Preprocessing X-Ray Transmission Data in CT Scanning

While the reconstruction algorithm utilized in computerized tomography (CT) is important, the overall performance of the system is limited by the quality of the measured transmission data which is used as a basis for the reconstruction process. If the projection values derived from the measured data do not adequately represent the line integrals of the linear attenuation coefficients within the slice being scanned, even a perfect reconstructruction algorithm will give rise to a distorted image. Phenomena which tend to deteriorate the quality of the measured data, and hence the final image, include the effective finite dimensions of the scanning aperture, distortions introduced by the detector system such as afterglow, and nonlinearities related to the spectral distribution of x-ray photons used in scanning. Computer methods of preprocessing the x-ray transmission data to minimize these distortions are discussed and illustrated.