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## Distance To Agreement Formula

April 9th, 2021

Examples of surface deviation between two dose distributions and γ index in an IMRT patient plan. a) Distance map at the surface between the maps in Figure 1a,1a, ,1b,1b, b) Histogram of the distribution of the distance to the surface in (a), c) of a γ map with 2.79 mm/2.79% of criteria and (d) a map γ a (c) map. The k-d,19 tree, a data structure based on a recursive subdivision of a k-dimensional universe into separate sub-regions, was used to calculate both the surface distance and the index γ.18, 20 By defining the distance between pixels, one can quickly locate the nearest neighbor for each pixel in the tree structure. It should be noted that image resolution can affect the performance of the surface distance and the γ index, As has been discussed in various studies;3, 6 the effect may be even greater with the k-d tree method, as it searches the tree without interpolating the values between neighboring pixels.21 Objective: The purpose of this work was to clarify the interactions between the parameters used in the γ index with the surface distance method, which can be considered as a general version of the index γ. Among the parameters examined were the distance criteria from the agreement (DD) /dose difference (DD), the percentage used as a passing criterion and the passing percentage for certain DTA/DD criteria. The specific objectives of our work were (1) to understand the relationships between the parameters used in the γ index, (2) to determine the detection limit or minimum error of the γ index with a set of precise parameters and (3) to define a parameter determination procedure corresponding to the capacity of an IMRT quality guarantee system. We can continue to generalize the concept of distance to the distribution of the 3D dose, because the distribution of the dose can also be considered as a surface. For two 3D D1 and D2 dose distributions (standardized doses are always used Unless otherwise stated, the distance from one point to D1 (with a dose of D1 points (x1, y1, z1) compared to D2 is as follows: with the introduction of advanced radiotherapy techniques such as volumetric rainbow therapy (VMAT) and intensity modulated radiotherapy (IMRT), the three-dimensional (3D) dose distribution for radiotherapy has become both consistent and complex.

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