Module Geometry

Module Geometry

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The Blender.Geometry submodule.

Geometry

This new module provides access to a geometry function.

Functions
list
PolyFill(polylines)
Takes a list of polylines and calculates triangles that would fill in the polylines.
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Vector
LineIntersect2D(vec1, vec2, vec3, vec4)
Takes 2 lines vec1, vec2 for the 2 points of the first line and vec2, vec3 for the 2 points of the second line.
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tuple
ClosestPointOnLine(pt, vec1, vec2)
Takes 2 lines vec1, vec2 for the 2 points of the first line and vec2, vec3 for the 2 points of the second line.
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bool
PointInTriangle2D(pt, tri_pt1, tri_pt2, tri_pt3)
Takes 4 vectors (one for the test point and 3 for the triangle) This is a 2d function so only X and Y are used, Z and W will be ignored.
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tuple
BoxPack2D(boxlist)
Takes a list of 2D boxes and packs them into a square.
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Function Details

PolyFill(polylines)

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Takes a list of polylines and calculates triangles that would fill in the polylines. Multiple lines can be used to make holes inside a polyline, or fill in 2 seperate lines at once.
Returns: list
a list if tuples each a tuple of 3 ints representing a triangle indexing the points given.
Notes:
  • 2D Vectors will have an assumed Z axis of zero, 4D Vectors W axis is ignored.
  • The order of points in a polyline effect the direction returned triangles face, reverse the order of a polyline to flip the normal of returned faces.

    Example:

    The example below creates 2 polylines and fills them in with faces, then makes a mesh in the current scene:
           import Blender
           Vector= Blender.Mathutils.Vector
    
           # Outline of 5 points
           polyline1= [Vector(-2.0, 1.0, 1.0), Vector(-1.0, 2.0, 1.0), Vector(1.0, 2.0, 1.0), Vector(1.0, -1.0, 1.0), Vector(-1.0, -1.0, 1.0)]
           polyline2= [Vector(-1, 1, 1.0), Vector(0, 1, 1.0), Vector(0, 0, 1.0), Vector(-1.0, 0.0, 1.0)]
           fill= Blender.Geometry.PolyFill([polyline1, polyline2])
    
           # Make a new mesh and add the truangles into it
           me= Blender.Mesh.New()
           me.verts.extend(polyline1)
           me.verts.extend(polyline2)
           me.faces.extend(fill) # Add the faces, they reference the verts in polyline 1 and 2
    
           scn = Blender.Scene.GetCurrent()
           ob = scn.objects.new(me)
           Blender.Redraw()
    

LineIntersect2D(vec1, vec2, vec3, vec4)

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Takes 2 lines vec1, vec2 for the 2 points of the first line and vec2, vec3 for the 2 points of the second line.
Returns: Vector
a 2D Vector for the intersection or None where there is no intersection.

ClosestPointOnLine(pt, vec1, vec2)

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Takes 2 lines vec1, vec2 for the 2 points of the first line and vec2, vec3 for the 2 points of the second line.
Returns: tuple
a tuple containing a vector and a float, the vector is the closest point on the line, the float is the position on the line, between 0 and 1 the point is on the line.

PointInTriangle2D(pt, tri_pt1, tri_pt2, tri_pt3)

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Takes 4 vectors (one for the test point and 3 for the triangle) This is a 2d function so only X and Y are used, Z and W will be ignored.
Returns: bool
True or False depending on the points intersection.

BoxPack2D(boxlist)

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Takes a list of 2D boxes and packs them into a square. Each box in boxlist must be a list of at least 4 items - [x,y,w,h], after running this script, the X and Y values in each box will be moved to packed, non overlapping locations.

Example:
       # Make 500 random boxes, pack them and make a mesh from it
       from Blender import Geometry, Scene, Mesh
       import random
       boxes = []
       for i in xrange(500):
               boxes.append( [0,0, random.random()+0.1, random.random()+0.1] )
       boxsize = Geometry.BoxPack2D(boxes)
       print 'BoxSize', boxsize
       me = Mesh.New()
       for x in boxes:
               me.verts.extend([(x[0],x[1], 0), (x[0],x[1]+x[3], 0), (x[0]+x[2],x[1]+x[3], 0), (x[0]+x[2],x[1], 0) ])
               v1= me.verts[-1]
               v2= me.verts[-2]
               v3= me.verts[-3]
               v4= me.verts[-4]
               me.faces.extend([(v1,v2,v3,v4)])
       scn = Scene.GetCurrent()
       scn.objects.new(me)
Returns: tuple
a tuple pair - (width, height) of all the packed boxes.

Note: Each boxlist item can be longer then 4, the extra items are ignored and stay untouched.