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Proceedings Paper

Discrete techniques for 3D digital images and patterns under transformations
Author(s): Zi Cai Li
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Paper Abstract

Three dimensional (3-D) digital images and patterns under transformations are facilitated by the splitting-shooting method (SSM) and the splitting-integrating method (SIM). The combination (CSIM) of SSM and SIM and the combination (CIIM) of SIM and SIM are proposed for a cycle conversion T-1T, where T is a nonlinear transformation, and T-1 is its inverse transformation. This paper focuses on exploitation of accuracy of the obtained image greyness. In our discrete algorithms, let a 3-D pixel be split into N3 subpixels. The convergence rates of sequential errors can be denoted by O(1/Nk), k >= 1. High convergence rates indicate less CPU time needed. Both error bounds and computation of pixel greyness have shown the following important conclusions: (1) O(1/N) for CSIM; (2) O(1/N) or O(1/N2) for CIIM; (3) O(1/N3) for CIIM using quadratic B-spline functions in antialiasing images.

Paper Details

Date Published: 18 January 1993
PDF: 20 pages
Proc. SPIE 1713, International Conference on Manufacturing Automation, (18 January 1993); doi: 10.1117/12.138483
Show Author Affiliations
Zi Cai Li, Concordia Univ. (Canada)


Published in SPIE Proceedings Vol. 1713:
International Conference on Manufacturing Automation

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