Evaluation of quantization error in computer vision

Due to the important role that digitization error plays in the field of computer vision, a careful analysis of its impact on the computational approaches used in the field is necessary. The authors develop the mathematical tools for the computation of the average (or expected) error due to quantization. They can be used in estimating the actual error occurring in the implementation of a method. Also derived is the analytic expression for the probability density of error distribution of a function of an arbitrarily large number of independently quantized variables. The probability that the error of the function will be within a given range can thus be obtained accurately. The tools developed can be used in the analysis of the applicability of a given algorithm, hence revealing the intrinsic limitations of the approach.<
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