Translator Disclaimer
18 January 1993 Discrete techniques for 3D digital images and patterns under transformations
Author Affiliations +
Proceedings Volume 1713, International Conference on Manufacturing Automation; (1993) https://doi.org/10.1117/12.138483
Event: International Conference on Manufacturing Automation, 1992, Hong Kong, Hong Kong
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.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Zi Cai Li "Discrete techniques for 3D digital images and patterns under transformations", Proc. SPIE 1713, International Conference on Manufacturing Automation, (18 January 1993); https://doi.org/10.1117/12.138483
PROCEEDINGS
20 PAGES


SHARE
Advertisement
Advertisement
Back to Top