1. Calculating Inertia Tensor in CompuCell3D.
For each cell the inertia tensor is defined as follows:
where index 'i' denotes i-th pixel of a given cell and xi, yi,zi are coordinates of that pixel in a given coordinate frame.
where index 'i' denotes i-th pixel of a given cell and xi, yi,zi are coordinates of that pixel in a given coordinate frame.
In Figure 20 we show one possible coordinate frame in which one can calculate inertia tensor. If the coordinate frame is fixed calculating components of inertia tensor for cell gaining or losing one pixel is quite easy. We will be adding and subtracting terms like  or  .
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