Experimental aspects of the approximate error formula for tomographic reconstruction

Journal Article · Sat Feb 01 04:00:00 EST 1997 · Materials Evaluation

OSTI ID:471083

Munshi, P ^[1]; Maisl, M; Reiter, H ^[2]

---

1. Indian Inst. of Tech., Kanpur (India). Nuclear and Mechanical Engineering
2. Fraunhofer Inst. for Nondestructive Testing, Univ., Saarbruecken (Germany)

Computed tomography (CT) has grown in the past few years as an effective tool for nondestructive testing of various types of components and materials. Most CT scanners for this purpose use the convolution backprojection (CBP) algorithm for reconstructing the density function in a cross section of interest. Natterer has developed Sobolev space theorems which predict the theoretical error in CBP for a given class of certain mathematical functions. Recently, Munshi et al. developed a Sobolev space model for CBP to study the theoretical error which incorporates a theorem to analyze and synthesize the filter functions (or convolvers) for the CBP algorithm. Reconstructions have been performed (from data collected by an X-ray CT scanner) for a test object comprised of 50 {micro}m adhesive tape and 50 {micro}m aluminum foils. The number of data rays is 512, the number of projections is 400, and the pixel size is 20 {micro}m. Reconstructed images with the standard CBP filters follow the trend predicted by the theory. These results are currently being used to develop special filters for nondestructive characterization of materials.

• OSTI ID: 471083
• Journal Information: Materials Evaluation, Journal Name: Materials Evaluation Journal Issue: 2 Vol. 55; ISSN MAEVAD; ISSN 0025-5327
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
ALGORITHMS
COMPUTERIZED TOMOGRAPHY
IMAGE PROCESSING
IMAGE SCANNERS
NONDESTRUCTIVE TESTING