A 3-D reconstruction algorithm for interpolation and extrapolation of planar cross sectional data

• Published in: IEEE transactions on medical imaging Vol. 14; no. 4; pp. 765 - 771
• Main Authors: Werahera, P.N., Miller, G.J., Taylor, G.D., Brubaker, T., Daneshgari, F., Crawford, E.D.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 1995; Institute of Electrical and Electronics Engineers
• Subjects: Biological and medical sciences; Cancer; Computerized, statistical medical data processing and models in biomedicine; Extrapolation; Geometry; Humans; Interpolation; Medical sciences; Models and simulation; Reconstruction algorithms; Shape; Solid modeling; Three dimensional displays; Volume measurement; Linear interpolation; Urinary system disease; Prostate disease; Three dimensional representation; Simulation; Volume; Surgery; Prostatectomy; Anatomical reconstruction; Algorithm; Prostate
• ISSN: 0278-0062; 1558-254X
• DOI: 10.1109/42.476120

A three dimensional (3-D) reconstruction algorithm utilizing both linear interpolation and linear extrapolation was developed for the study of human prostatic cancer. The algorithm was validated by comparing the volumes and shapes of original to reconstructed objects. Synthetic objects of known geometry and wax models with shapes characteristic of prostatic carcinomas were assessed with standard planimetry and by the digital interpolation-extrapolation method. Volume and multifocality measurements obtained by reconstructing excised prostate glands using histologic maps obtained from whole-mount sections were tested. The new algorithm provided greater accuracy in determining tumor volumes than conventional methods. This model provides a basis for mathematical analysis of prostate cancer lesions.