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. Author manuscript; available in PMC: 2009 Apr 6.
Published in final edited form as: Med Image Comput Comput Assist Interv. 2008;11(Pt 2):171–179. doi: 10.1007/978-3-540-85990-1_21

Fig. 1. NLMeans principle: A two-dimensional illustration.

Fig. 1

The restored value of voxel v with value x is a weighted average of all intensities xi of voxels vi in the search volume V. The weight wi is based on the similarity of the intensities in cubic neighbourhoods N and Ni around v and vi.