Method computeVolume

src/collision/ConvexMesh.cpp:248–264

Compute the volume of the convex mesh We use the divergence theorem to compute the volume of the convex mesh using a sum over its faces.

// Compute the volume of the convex mesh
/// We use the divergence theorem to compute the volume of the convex mesh using a sum over its faces.
void ConvexMesh::computeVolume() {

    decimal sum = 0.0;

    // For each face of the mesh
    for (uint32 f=0; f < getNbFaces(); f++) {

        const HalfEdgeStructure::Face& face = mHalfEdgeStructure.getFace(f);
        const decimal faceArea = computeFaceNormal(f).length() * decimal(0.5);
        const Vector3 faceNormal = mFacesNormals[f];
        const Vector3& faceVertex = getVertex(face.faceVertices[0]);

        sum += faceVertex.dot(faceNormal) * faceArea;
    }

    mVolume = std::abs(sum) / decimal(3.0);
}