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. Author manuscript; available in PMC: 2013 Nov 7.
Published in final edited form as: Phys Med Biol. 2012 Oct 9;57(21):6981–6997. doi: 10.1088/0031-9155/57/21/6981

Figure 7.

Figure 7

(a) A nominal example of the reference dose grid (circles), evaluated dose grid (crosses), and cubic interpolation of the evaluated dose (solid line). In this case, numerical methods will determine γ correctly, represented by the length of the arrow, (b) An example where the numerical methods could be distorted by a local minimum (γn) instead of the true γ. (c) A maximum in the evaluated dose that exactly coincides with a reference dose grid position will fail to give the true γ at that grid point, (d) Discontinuities can lead to a failure due to negative dose from the cubic interpolation and local minima.