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[doc] environment.md velocity field explanation corrected
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smsong committed Jul 25, 2019
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4 changes: 2 additions & 2 deletions docs/_docs/nips2019/environment.md
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Expand Up @@ -59,8 +59,8 @@ c_{eff} = \sum_{i \text{ in } step_i}^{} \sum_{m}^{muscles} A_m^2 \Delta t_i. $$

The observation or the input to your controller consists of a local target velociy map \\(V\\) and the body state \\(S\\).

\\(V\\) is a \\( 2 \times 11 \times 11 \times \\) matrix, representing a \\(2D\\) vector field on an \\(11 \times 11 \\) grid. The \\(2D\\) vectors are target velocities, and the \\(11 \times 11 \\) grid is for every \\(0.5 \\) meter within \\(\pm 5\\) meters back-to-front and left-to-side. For example, in the figure below, the global target velocity map (top-left) shows that the velocity field converges to \\((2.9, 5.7)\\) and the human model is at \\((3.5, 0.0)\\) (end of the black line).
Thus, the local target velocity map (bottom-left) shows that the human model should locomote to the right as the vector points towards the right (i.e. close to \\([0, 1]\\)).
\\(V\\) is a \\( 2 \times 11 \times 11 \times \\) matrix, representing a \\(2D\\) vector field on an \\(11 \times 11 \\) grid. The \\(2D\\) vectors are target velocities, and the \\(11 \times 11 \\) grid is for every \\(0.5 \\) meter within \\(\pm 5\\) meters back-to-front and left-to-side. For example, in the figure below, the global target velocity map (top-left) shows that the velocity field converges to \\((5.4, -1.4)\\) and the human model is at \\((5.4, 0.0)\\) (end of the black line).
Thus, the local target velocity map (bottom-left) shows that the human model should locomote to the right as the target velocity vector at \\((0.0, 0.0)\\) points towards the right (i.e. close to \\([0, -1]\\)).

<table style="background-color: #ffffff">
<caption align="bottom" style="padding-top: 0.3em; font-size: 0.8em">A 3D human musculoskeletal model (right) and target velocity maps (global map: top-left; local map: bottom-left).</caption>
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