Abstract
The 4×4 determinant method makes it possible to unify geometric processing by the computations of 4×4 determinants composed of homogeneous coordinants vectors of four points or coefficient vectors of four plane equations. Because the method needs not require a division operation, error-free geometric computation is not difficult to realize by means of integer arithemtic of appropriate data length. The present paper proposes an error-free, efficient computing method, which computes the 4×4 determinants by adaptively selecting integer arithmetic of variable data length. This technique is discussed theoretically and experimentally.
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Yamaguchi, F., Toshimitsu, K., Sato, H. et al. An adaptive, error-free computation based on the 4×4 determinant method. The Visual Computer 9, 173–181 (1993). https://doi.org/10.1007/BF01901722
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DOI: https://doi.org/10.1007/BF01901722