Fix T41019: Calculate Mass does not calculate actual volume.
This was a ToDo item, for mesh-based rigid body shapes (trimesh, convex) the operator was simply using the bounding box volume, which can grossly overestimate the volume and mass. Calculating the actual volume of a mesh is not so difficult after all, see e.g. http://research.microsoft.com/en-us/um/people/chazhang/publications/icip01_ChaZhang.pdf This patch also allows calculating the center-of-mass in the same way. This is currently unused, because the rigid body system assumes the CoM to be the same as the geometric object center. This is fine most of the time, adding such user settings for "center-of-mass offset" would also add quite a bit of complexity in user space, but it could be necessary at some point. A number of other physical properties could be calculated using the same principle, e.g. the moment of inertia.
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@@ -238,6 +238,18 @@ float volume_tetrahedron_v3(const float v1[3], const float v2[3], const float v3
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return fabsf(determinant_m3_array(m)) / 6.0f;
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}
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/**
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* The volume from a tetrahedron, normal pointing inside gives negative volume
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*/
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float volume_tetrahedron_signed_v3(const float v1[3], const float v2[3], const float v3[3], const float v4[3])
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{
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float m[3][3];
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sub_v3_v3v3(m[0], v1, v2);
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sub_v3_v3v3(m[1], v2, v3);
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sub_v3_v3v3(m[2], v3, v4);
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return determinant_m3_array(m) / 6.0f;
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}
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/********************************* Distance **********************************/
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