@article{Knight_Taylor_Khademi_2017, title={Equivalence of histogram equalization, histogram matching and the Nyul algorithm for intensity standardization in MRI}, volume={3}, url={https://openjournals.uwaterloo.ca/index.php/vsl/article/view/170}, DOI={10.15353/vsnl.v3i1.170}, abstractNote={<p>Intensity standardization is an important preprocessing step in automated<br />analysis of MRI. A popular method by Nyul et al. uses a<br />piece-wise linear approximation of histogram matching. We show<br />that this method is a non-uniform trapezoidal Riemann approximation<br />of the ideal histogram matching operation, and suggest that<br />histogram matching is no better than histogram equalization for intensity<br />standardization in MRI. Experimental results are derived using<br />synthetic data.</p>}, number={1}, journal={Journal of Computational Vision and Imaging Systems}, author={Knight, Jesse and Taylor, Graham W. and Khademi, April}, year={2017}, month={Oct.} }