Surface and volume calculation example.

This commit is contained in:
Viktor Kovacs 2021-04-29 21:23:28 +02:00
parent 482a6958a7
commit dd3a56c003

View File

@ -78,4 +78,62 @@ describe ('Model Utils', function () {
]
});
});
it ('Mesh Volume Calculation', function () {
function GetTriangleArea (v0, v1, v2)
{
let a = OV.CoordDistance3D (v0, v1);
let b = OV.CoordDistance3D (v1, v2);
let c = OV.CoordDistance3D (v0, v2);
let s = (a + b + c) / 2.0;
let areaSquare = s * (s - a) * (s - b) * (s - c);
if (areaSquare < 0.0) {
return 0.0;
}
return Math.sqrt (areaSquare);
}
var model = new OV.Model ();
var cube = new OV.Mesh ();
cube.AddVertex (new OV.Coord3D (0.0, 0.0, 0.0));
cube.AddVertex (new OV.Coord3D (1.0, 0.0, 0.0));
cube.AddVertex (new OV.Coord3D (1.0, 1.0, 0.0));
cube.AddVertex (new OV.Coord3D (0.0, 1.0, 0.0));
cube.AddVertex (new OV.Coord3D (0.0, 0.0, 1.0));
cube.AddVertex (new OV.Coord3D (1.0, 0.0, 1.0));
cube.AddVertex (new OV.Coord3D (1.0, 1.0, 1.0));
cube.AddVertex (new OV.Coord3D (0.0, 1.0, 1.0));
cube.AddTriangle (new OV.Triangle (0, 1, 5));
cube.AddTriangle (new OV.Triangle (0, 5, 4));
cube.AddTriangle (new OV.Triangle (1, 2, 6));
cube.AddTriangle (new OV.Triangle (1, 6, 5));
cube.AddTriangle (new OV.Triangle (2, 3, 7));
cube.AddTriangle (new OV.Triangle (2, 7, 6));
cube.AddTriangle (new OV.Triangle (3, 0, 4));
cube.AddTriangle (new OV.Triangle (3, 4, 7));
cube.AddTriangle (new OV.Triangle (0, 3, 2));
cube.AddTriangle (new OV.Triangle (0, 2, 1));
cube.AddTriangle (new OV.Triangle (4, 5, 6));
cube.AddTriangle (new OV.Triangle (4, 6, 7));
model.AddMesh (cube);
OV.FinalizeModel (model, function () {
return new OV.Material ();
});
let surface = 0.0;
let volume = 0.0;
for (let i = 0; i < model.MeshCount (); i++) {
let mesh = model.GetMesh (i);
for (j = 0; j < mesh.TriangleCount (); j++) {
let triangle = mesh.GetTriangle (j);
let v0 = mesh.GetVertex (triangle.v0);
let v1 = mesh.GetVertex (triangle.v1);
let v2 = mesh.GetVertex (triangle.v2);
surface += GetTriangleArea (v0, v1, v2);
let signedVolume = OV.DotVector3D (v0, OV.CrossVector3D (v1, v2)) / 6.0;
volume += signedVolume;
}
}
assert (OV.IsEqual (volume, 1.0));
assert (OV.IsEqual (surface, 6.0));
});
});