# Polygonnetz zu Teil

## Converting Part objects to Meshes

Converting higher-level objects such as Part shapes into simpler objects such as meshes is a pretty simple operation, where all faces of a Part object get triangulated. The result of that triangulation (tessellation) is then used to construct a mesh: (let's assume our document contains one part object)

#let's assume our document contains one part object import Mesh faces = [] shape = FreeCAD.ActiveDocument.ActiveObject.Shape triangles = shape.tessellate(1) # the number represents the precision of the tessellation) for tri in triangles[1]: face = [] for i in range(3): vindex = tri[i] face.append(triangles[0][vindex]) faces.append(face) m = Mesh.Mesh(faces) Mesh.show(m)

Sometimes the triangulation of certain faces offered by OpenCascade is quite ugly. If the face has a rectangular parameter space and doesn't contain any holes or other trimming curves you can also create a mesh on your own:

import Mesh def makeMeshFromFace(u,v,face): (a,b,c,d)=face.ParameterRange pts=[] for j in range(v): for i in range(u): s=1.0/(u-1)*(i*b+(u-1-i)*a) t=1.0/(v-1)*(j*d+(v-1-j)*c) pts.append(face.valueAt(s,t)) mesh=Mesh.Mesh() for j in range(v-1): for i in range(u-1): mesh.addFacet(pts[u*j+i],pts[u*j+i+1],pts[u*(j+1)+i]) mesh.addFacet(pts[u*(j+1)+i],pts[u*j+i+1],pts[u*(j+1)+i+1]) return mesh

## Converting Meshes to Part objects

Converting Meshes to Part objects is an extremely important operation in CAD work, because very often you receive 3D data in mesh format from other people or outputted from other applications. Meshes are very practical to represent free-form geometry and big visual scenes, as it is very lightweight, but for CAD we generally prefer higher-level objects that carry much more information, such as the idea of solid, or faces made of curves instead of triangles.

Converting meshes to those higher-level objects (handled by the Part Module in FreeCAD) is not an easy operation. Meshes can be made of thousands of triangles (for example when generated by a 3D scanner), and having solids made of the same number of faces would be extremely heavy to manipulate. So you generally want to optimize the object when converting.

FreeCAD currently offers two methods to convert Meshes to Part objects. The first method is a simple, direct conversion, without any optimization:

import Mesh,Part mesh = Mesh.createTorus() shape = Part.Shape() shape.makeShapeFromMesh(mesh.Topology,0.05) # the second arg is the tolerance for sewing solid = Part.makeSolid(shape) Part.show(solid)

The second method offers the possibility to consider mesh facets coplanar when the angle between them is under a certain value. This allows to build much simpler shapes: (let's assume our document contains one Mesh object)

# let's assume our document contains one Mesh object import Mesh,Part,MeshPart faces = [] mesh = App.ActiveDocument.ActiveObject.Mesh segments = mesh.getPlanes(0.00001) # use rather strict tolerance here for i in segments: if len(i) > 0: # a segment can have inner holes wires = MeshPart.wireFromSegment(mesh, i) # we assume that the exterior boundary is that one with the biggest bounding box if len(wires) > 0: ext=None max_length=0 for i in wires: if i.BoundBox.DiagonalLength > max_length: max_length = i.BoundBox.DiagonalLength ext = i wires.remove(ext) # all interior wires mark a hole and must reverse their orientation, otherwise Part.Face fails for i in wires: i.reverse() # make sure that the exterior wires comes as first in the lsit wires.insert(0, ext) faces.append(Part.Face(wires)) shell=Part.Compound(faces) Part.show(shell) #solid = Part.Solid(Part.Shell(faces)) #Part.show(solid)