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- W1971154955 abstract "Abstract Measurement of length and distance is frequently required in image analysis. In digital images computing the length of a line is an estimation problem rather than a computational problem. In this paper for 3-D images an estimator of the form g = a · n a + b · n b is used to measure the length of a straight line from its digitization, where n a , n b , and n c are the number of digital string elements with a grid parallel, square diagonal and cube diagonal direction. To obtain unbiased results and to give the estimator isotropic characteristics it is optimized with respect to a , b , and c by minimizing the mean squared error between the estimate from discrete space and the Euclidean length before discretization. The resulting values of a , b , and c are a = 0.88750, b = 1.34224, and c = 1.59772, giving a residual error of 2.8%. For practical use in distance transformations, integer approximations of the optimal estimator are evaluated as well." @default.
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- W1971154955 date "1992-05-01" @default.
- W1971154955 modified "2023-10-14" @default.
- W1971154955 title "Optimization of length measurements for isotropic distance transformations in three dimension" @default.
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- W1971154955 doi "https://doi.org/10.1016/1049-9660(92)90027-z" @default.
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