Here is the excerpt from my script that calculates the area and facial area of a mesh on OnMouseDown Event.
private void OnMouseDown ()
{
Mesh selectedMesh = this.gameObject.GetComponent().mesh;
float surfaceArea = CalculateSurfaceArea (selectedMesh);
float areaFromXFace = CalculateFacingArea (selectedMesh, new Vector3 (1, 0, 0));
float areaFromYFace = CalculateFacingArea (selectedMesh, new Vector3 (0, 1, 0));
float areaFromZFace = CalculateFacingArea (selectedMesh, new Vector3 (0, 0, 1));
float areaFromClickedFace = ProjectionPlaneClickedArea (selectedMesh);
string area = " n Surface:" + surfaceArea;
areas + = " n Area of the X-axis face:" + areaFromXFace;
areas + = " n Area of the Y-axis face:" + areaFromYFace;
areas + = " n Zone of the Z-axis face:" + areaFromZFace;
areas + = " n Area of the selected face:" + areaFromClickedFace;
Debug.Log ("Zones:" + zones);
}
float ProjectionPlaneClickedArea (Mesh selcectedMesh)
{
Camera c = Camera.main;
Ray ray = c.ScreenPointToRay (Input.mousePosition);
RaycastHit hit;
if (Physics.Raycast (ray, out hit, 100f))
{
Debug.DrawRay (ray.origin, ray.direction * 100, Color.yellow);
Debug.Log ("normal:" + hit.normal);
Debug.Log ("Normal / Direction Zone:" + CalculateFacingArea (selcectedMesh, hit.normal));
return CalculateFacingArea (selcectedMesh, hit.normal);
}
return 0f;
}
float CalculateSurfaceArea (mesh)
{
// Limitation: note that if your mesh has double-sided faces or internal faces, they can skew this result.
var triangles = mesh.triangles;
var vertices = mesh.vertices;
double sum = 0.0;
for (int i = 0; i <triangles.Length; i + = 3) // iterates on the triangles of the mesh
{
Vector3 corner = vertices[triangles[i]]; // for each triangle, we calculate vectors representing both edges
Vector3 a = highs[triangles[i + 1]]- corner;
Vector3 b = highs[triangles[i + 2]]- corner;
sum + = Vector3.Cross (a, b) .magnitude; // half of the crossed product of these edges gives us the area of the triangle
}
return (float) (sum / 2.0);
}
///
/// only calculates the mesh surface in a particular direction, you can try this version instead.
/// Specify the direction in which you want to display the mesh. The projected area must then be calculated.
/// the faces turned at least partially in this direction.
///
///
///
///
float CalculateFacingArea (mesh, Vector3 direction)
{
direction = direction.normalized;
var triangles = mesh.triangles;
var vertices = mesh.vertices;
double sum = 0.0;
for (int i = 0; i < triangles.Length; i += 3) //iterate over the triangles of the mesh
{
//"Subtracting each 2nd & 3rd vertex" just gives the two edges of the triangle radiating from the initial corner.
Vector3 corner = vertices[triangles[i]];
Vector3 a = vertices[triangles[i + 1]] - corner;
Vector3 b = vertices[triangles[i + 2]] - corner;
//The cross product divided by two gives the area of the triangle.
//The dot product is what handles projecting this area onto the plane of interest.
float projection = Vector3.Dot(Vector3.Cross(b, a), direction);
if (projection > 0f) // add only the projected triangles
sum + = projection;
}
return (float) (sum / 2.0);
}
I am able to calculate the surface of the face by CalculateFacingArea method, it takes a mesh and the direction that works well, as if I want to calculate the area of x direction, I can use it
float areaFromXFace = CalculateFacingArea (selectedMesh, new Vector3 (1, 0, 0));
BUT I need to provide the face / direction information dynamically, what I do in this function ProjectionPlaneClickedArea using a raycast. It's about getting normal at the points of attraction that I use as the direction and passing them to the function. It works well with some of the meshes but not with all the meshes, for example below the image:
As you can see, if I click on this object from the front, then it is necessary to calculate the surface of the Y side but it calculates with the X direction. The normal value of the click point is (1.0, 0.0, 0.1).
Although it works correctly if the axes of my clicked object look like this:
In this case, x is facing and working properly. I have this value of normal (1.0, 0.0, 0.0).
I am neither an expert in geometry / mathematics nor a modeller, so I can not identify the normal problem of its object or its computation problem.
Remember that I do not want to model all objects in the same direction / axis, where I can get the hard-coded direction. I want to calculate the direction dynamically but correctly.
