Looking for a way to determine the surface area of a 3D Mesh file? Wondering if there's a ready-made function available for this calculation? Currently working on a project that involves automatically calculating volume and area after selecting an image. Can anyone provide some guidance?
If you're looking to determine the area of a mesh, there isn't a direct method available. However, you can implement your own custom logic to achieve this. One possible approach is to break down the mesh into triangles and calculate the area of each triangle, then summing them up to get the total area of the mesh.
Here's an example implementation:
function crossProduct( a, b ) {
var ax = a.X, ay = a.Y, az = a.Z;
var bx = b.X, by = b.Y, bz = b.Z;
var P={X:ay * bz - az * by,
Y:az * bx - ax * bz,
Z:ax * by - ay * bx}
return P;
}
function calculateMeshArea(points) {
var _len = points.length,
_area = 0.0;
if (!_len) return 0.0;
var i = 0;
var va, vb, vc;
do {
va = {X:points[i],Y:points[i+1],Z:points[i+2]};
vb = {X:points[i+3],Y:points[i+4],Z:points[i+5]};
vc = {X:points[i+6],Y:points[i+7],Z:points[i+8]};
var ab = {X:vb.X-va.X,Y:vb.Y-va.Y,Z:vb.Z-va.Z};
var ac = {X:vc.X-va.X,Y:vc.Y-va.Y,Z:vc.Z-va.Z};
var cross = crossProduct(ab, ac);
_area += Math.sqrt(Math.pow(cross.X,2)+Math.pow(cross.Y,2)+Math.pow(cross.Z,2))/2;
i += 9;
}
while (i < points.length);
return Math.abs(_area)/100;
}
// Assuming 'mesh' is the mesh object
calculateMeshArea(mesh.vertices);
This example is based on a tutorial referenced here.
For further insights, you can check out this resource with another useful approach for calculating mesh area in Three.js.
def find_min_max(self, element):
min_x = max_x = min_y = max_y = min_z = max_z = None
# print"##############", obj #dir(obj)
arr = element.data_points
length = len(arr)
total_area = 0.0;
vector_a = {}
vector_b = {}
vector_c = {}
ab_vector= {}
ac_vector= {}
values = []
if length == 0:
return 0.0
counter = 0;
while counter < length-2:
vector_a['X'] = arr[counter][0]
vector_a['Y'] = arr[counter][1]
vector_a['Z'] = arr[counter][2]
vector_b['X'] = arr[counter+1][0]
vector_b['Y'] = arr[counter+1][1]
vector_b['Z'] = arr[counter+1][2]
vector_c['X'] = arr[counter+2][0]
vector_c['Y'] = arr[counter+2][1]
vector_c['Z'] = arr[counter+2][2]
ab_vector['X'] = vector_b['X'] - vector_a['X']
ab_vector['Y'] = vector_b['Y'] - vector_a['Y']
ab_vector['Z'] = vector_b['Z'] - vector_a['Z']
ac_vector['X'] = vector_c['X'] - vector_a['X']
ac_vector['Y'] = vector_c['Y'] - vector_a['Y']
ac_vector['Z'] = vector_c['Z'] - vector_a['Z']
values.append(ab_vector)
values.append(ac_vector)
cross_product = self.crossVectors(values)
total_area += np.sqrt(np.power(cross_product['X'], 2) + np.power(cross_product['Y'], 2) +
np.power(cross_product['Z'], 2)) / 2
counter += 9
area_value = np.abs(total_area) / 100
fractional_digits = 2
area_value = round(area_value * np.power(10,fractional_digits)) / np.power(10,fractional_digits)
print "@@@@@@@@@@@@@@@", area_value
return area_value
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