author Antonio Ospite Thu, 30 Mar 2006 17:42:13 +0000 (19:42 +0200) committer Antonio Ospite Thu, 24 Sep 2009 11:16:23 +0000 (13:16 +0200)
* We now support different projections according to the blender camera
* The back-face culling routine belongs now to the Renderer class
* Add some hackish z-sorting for faces

Signed-off-by: Antonio Ospite <ospite@studenti.unina.it>
 vrm.py patch | blob | history

diff --git a/vrm.py b/vrm.py
index bd61a58..bab02a8 100755 (executable)
--- a/vrm.py
+++ b/vrm.py
@@ -50,178 +50,133 @@ from math import *
#
# ---------------------------------------------------------------------

#
# ---------------------------------------------------------------------

-class Projection:
-    def __init__(self):
-        print "New projection"
-
-class PerspectiveProjection(Projection):
-    def __init___(self):
-        Projection.__init__(self)
-        print "Perspective"
-
-    def doProjection():
-        print "do a perspective projection!!"
-
-def Perspective(fovy, aspect, near, far):
-    top = near * tan(fovy * pi / 360.0)
-    bottom = -top
-    left = bottom*aspect
-    right= top*aspect
-    x = (2.0 * near) / (right-left)
-    y = (2.0 * near) / (top-bottom)
-    a = (right+left) / (right-left)
-    b = (top+bottom) / (top - bottom)
-    c = - ((far+near) / (far-near))
-    d = - ((2*far*near)/(far-near))
-    return Matrix([x,0.0,a,0.0],[0.0,y,b,0.0],[0.0,0.0,c,d],[0.0,0.0,-1.0,0.0])
-
-def flatten_new(v, cameraObj, canvasSize, obMesh):
-
-    cam = cameraObj.getInverseMatrix()
-    cam.transpose()
-
-    # Changing the view mode
-    cmra = cameraObj.getData()
-    #if cmra.type:
-    #    print "Ortho"
-        #m2 = Ortho(fovy,float(w*ax)/float(h*ay),cmra.clipStart, cmra.clipEnd,17) #cmra.scale)
-    #else:
-    #    print "Perspective"
+class Projector:
+    """Calculate the projection of an object given the camera.

-    #Create Frustum
-    #frustum = _Frustum(cam,m2)
+    A projector is useful to so some per-object transformation to obtain the
+    projection of an object given the camera.

-    m1 = Matrix()
-    mP = Matrix()
-
-    fovy = atan(0.5/(float(canvasSize[0])/float(canvasSize[1]))/(cmra.lens/32))
-    fovy = fovy * 360/pi
+    The main method is #doProjection# see the method description for the
+    parameter list.
+    """

-    m2 = Perspective(fovy,float(canvasSize[0])/float(canvasSize[1]),cmra.clipStart, cmra.clipEnd)
+    def __init__(self, cameraObj, obMesh, canvasSize):
+        """Calculate the projection matrix.

-    m1 = obMesh.matrixWorld #mat
-    m1.transpose()
-    mP = cam * m1
-    mP = m2  * mP
-
-    #Transform the vertices to global coordinates
-    p = mP*Vector([v.co[0],v.co[1],v.co[2],1.0])
-    #tf.append(p)
-    #p = m1*Vector([v.co[0],v.co[1],v.co[2],1.0])
-    #t2.append([p[0],p[1],p[2]])
-
-    mW = canvasSize[0]/2
-    mH = canvasSize[1]/2
-
-    if p[3]<=0:
-        p[0] = int(p[0]*mW)+mW
-        p[1] = int(p[1]*mH)+mH
-    else:
-        p[0] = int((p[0]/p[3])*mW)+mW
-        p[1] = int((p[1]/p[3])*mH)+mH
-
-    # Mirror and translate along y
-    p[1] *= -1
-    p[1] += canvasSize[1]
-
-    return p
+        The projection matrix depends, in this case, on the camera settings,
+        and also on object transformation matrix.
+        """

+        self.size = canvasSize

+        camera = cameraObj.getData()

-# distance from camera Z'
-def Distance(PX,PY,PZ):
-
-    dist = sqrt(PX*PX+PY*PY+PZ*PZ)
-    return dist
+        aspect = float(canvasSize[0])/float(canvasSize[1])
+        near = camera.clipStart
+        far = camera.clipEnd

-def RotatePoint(PX,PY,PZ,AngleX,AngleY,AngleZ):
-
-    NewPoint = []
-    # Rotate X
-    NewY = (PY * cos(AngleX))-(PZ * sin(AngleX))
-    NewZ = (PZ * cos(AngleX))+(PY * sin(AngleX))
-    # Rotate Y
-    PZ = NewZ
-    PY = NewY
-    NewZ = (PZ * cos(AngleY))-(PX * sin(AngleY))
-    NewX = (PX * cos(AngleY))+(PZ * sin(AngleY))
-    PX = NewX
-    PZ = NewZ
-    # Rotate Z
-    NewX = (PX * cos(AngleZ))-(PY * sin(AngleZ))
-    NewY = (PY * cos(AngleZ))+(PX * sin(AngleZ))
-    NewPoint.append(NewX)
-    NewPoint.append(NewY)
-    NewPoint.append(NewZ)
-    return NewPoint
+        fovy = atan(0.5/aspect/(camera.lens/32))
+        fovy = fovy * 360/pi
+
+        # What projection do we want?
+        if camera.type:
+            m2 = self._calcOrthoMatrix(fovy, aspect, near, far, 17) #camera.scale)
+        else:
+            m2 = self._calcPerspectiveMatrix(fovy, aspect, near, far)
+
+        m1 = Matrix()
+        mP = Matrix()

-def flatten(vertx, verty, vertz, cameraObj, canvasSize):
+        # View transformation
+        cam = cameraObj.getInverseMatrix()
+        cam.transpose()

-    camera = cameraObj.getData()
-    Lens = camera.getLens()       # The Camera lens
+        m1 = obMesh.getMatrix()
+        m1.transpose()
+
+        mP = cam * m1
+        mP = m2  * mP

-    xres = canvasSize[0]      # X res for output
-    yres = canvasSize[1]      # Y res for output
-    ratio = xres/yres
+        self.projectionMatrix = mP

-    fov = atan(ratio * 16.0 / Lens)  # Get fov stuff
-
-    dist = xres/2*tan(fov)         # Calculate dist from pinhole camera to image plane
+    ##
+    # Public methods
+    #

-    screenxy=[0,0,vertz]
-    x=-vertx
-    y=verty
-    z=vertz
+    def doProjection(self, v):
+        """Project the point on the view plane.

-    #----------------------------
-    # calculate x'=dist*x/z & y'=dist*x/z
-    #----------------------------
-    screenxy[0]=int(xres/2.0+4*x*dist/z)
-    screenxy[1]=int(yres/2.0+4*y*dist/z)
-    return screenxy
+        Given a vertex calculate the projection using the current projection
+        matrix.
+        """
+
+        # Note that we need the vertex expressed using homogeneous coordinates
+        p = self.projectionMatrix * Vector([v[0], v[1], v[2], 1.0])
+
+        mW = self.size[0]/2
+        mH = self.size[1]/2
+
+        if p[3]<=0:
+            p[0] = int(p[0]*mW)+mW
+            p[1] = int(p[1]*mH)+mH
+        else:
+            p[0] = int((p[0]/p[3])*mW)+mW
+            p[1] = int((p[1]/p[3])*mH)+mH
+
+        # For now we want (0,0) in the top-left corner of the canvas
+        # Mirror and translate along y
+        p[1] *= -1
+        p[1] += self.size[1]
+
+        return p

-## Backface culling routine
-#
+    ##
+    # Private methods
+    #
+
+    def _calcPerspectiveMatrix(self, fovy, aspect, near, far):
+        """Return a perspective projection matrix."""
+
+        top = near * tan(fovy * pi / 360.0)
+        bottom = -top
+        left = bottom*aspect
+        right= top*aspect
+        x = (2.0 * near) / (right-left)
+        y = (2.0 * near) / (top-bottom)
+        a = (right+left) / (right-left)
+        b = (top+bottom) / (top - bottom)
+        c = - ((far+near) / (far-near))
+        d = - ((2*far*near)/(far-near))
+
+        m = Matrix(
+                [x,   0.0,    a,    0.0],
+                [0.0,   y,    b,    0.0],
+                [0.0, 0.0,    c,      d],
+                [0.0, 0.0, -1.0,    0.0])

-def isFaceVisible(face, obj, cameraObj):
-    """
-    Determine if the face is visible from the current camera.
-    """
-    numvert = len(face)
-    # backface culling
-    a = []
-    a.append(face[0][0])
-    a.append(face[0][1])
-    a.append(face[0][2])
-    a = RotatePoint(a[0], a[1], a[2], obj.RotX, obj.RotY, obj.RotZ)
-    a[0] += obj.LocX - cameraObj.LocX
-    a[1] += obj.LocY - cameraObj.LocY
-    a[2] += obj.LocZ - cameraObj.LocZ
-    b = []
-    b.append(face[1][0])
-    b.append(face[1][1])
-    b.append(face[1][2])
-    b = RotatePoint(b[0], b[1], b[2], obj.RotX, obj.RotY, obj.RotZ)
-    b[0] += obj.LocX - cameraObj.LocX
-    b[1] += obj.LocY - cameraObj.LocY
-    b[2] += obj.LocZ - cameraObj.LocZ
-    c = []
-    c.append(face[numvert-1][0])
-    c.append(face[numvert-1][1])
-    c.append(face[numvert-1][2])
-    c = RotatePoint(c[0], c[1], c[2], obj.RotX, obj.RotY, obj.RotZ)
-    c[0] += obj.LocX - cameraObj.LocX
-    c[1] += obj.LocY - cameraObj.LocY
-    c[2] += obj.LocZ - cameraObj.LocZ
-
-    norm = [0,0,0]
-    norm[0] = (b[1] - a[1])*(c[2] - a[2]) - (c[1] - a[1])*(b[2] - a[2])
-    norm[1] = -((b[0] - a[0])*(c[2] - a[2]) - (c[0] - a[0])*(b[2] - a[2]))
-    norm[2] = (b[0] - a[0])*(c[1] - a[1]) - (c[0] - a[0])*(b[1] - a[1])
-
-    d = norm[0]*a[0] + norm[1]*a[1] + norm[2]*a[2]
-    return (d<0)
+        return m
+
+    def _calcOrthoMatrix(self, fovy, aspect , near, far, scale):
+        """Return an orthogonal projection matrix."""
+
+        top = near * tan(fovy * pi / 360.0) * (scale * 10)
+        bottom = -top
+        left = bottom * aspect
+        right= top * aspect
+        rl = right-left
+        tb = top-bottom
+        fn = near-far
+        tx = -((right+left)/rl)
+        ty = -((top+bottom)/tb)
+        tz = ((far+near)/fn)
+
+        m = Matrix(
+                [2.0/rl, 0.0,    0.0,     tx],
+                [0.0,    2.0/tb, 0.0,     ty],
+                [0.0,    0.0,    2.0/fn,  tz],
+                [0.0,    0.0,    0.0,    1.0])
+
+        return m

# ---------------------------------------------------------------------

# ---------------------------------------------------------------------
@@ -231,6 +186,7 @@ def isFaceVisible(face, obj, cameraObj):
# ---------------------------------------------------------------------

# TODO: a class to represent the needed properties of a 2D vector image
# ---------------------------------------------------------------------

# TODO: a class to represent the needed properties of a 2D vector image
+# Just use a NMesh structure?

# ---------------------------------------------------------------------

# ---------------------------------------------------------------------
@@ -262,13 +218,14 @@ class VectorWriter:
self.canvasSize = canvasSize

self.canvasSize = canvasSize

+    ##
# Public Methods
#

def printCanvas(mesh):
return

# Public Methods
#

def printCanvas(mesh):
return

-
+    ##
# Private Methods
#

# Private Methods
#

@@ -293,21 +250,26 @@ class SVGVectorWriter(VectorWriter):
VectorWriter.__init__(self, file, canvasSize)

VectorWriter.__init__(self, file, canvasSize)

+    ##
# Public Methods
#

# Public Methods
#

-    def printCanvas(self, mesh):
-        """Convert the mesh representation to SVG."""
+    def printCanvas(self, scene):
+        """Convert the scene representation to SVG."""

-        for obj in mesh:
-            for face in obj:
+        for obj in scene:
+            self.file.write("<g>\n")
+
+            for face in obj.faces:
self._printPolygon(face)
self._printPolygon(face)
+
+            self.file.write("</g>\n")

self._printFooter()

self._printFooter()

-
+    ##
# Private Methods
#

# Private Methods
#

@@ -332,21 +294,26 @@ class SVGVectorWriter(VectorWriter):
There is no color Handling for now, *FIX!*
"""

There is no color Handling for now, *FIX!*
"""

-        intensity = 128
stroke_width=1

self.file.write("<polygon points=\"")

stroke_width=1

self.file.write("<polygon points=\"")

+        i = 0
for v in face:
for v in face:
-            if face.index(v)!= 0:
+            if != 0:
self.file.write(", ")
self.file.write(", ")
+
+            i+=1

-            self.file.write(`v[0]` + ", " + `v[1]`)
+            self.file.write("%g, %g" % (v[0], v[1]))
+
+        color = [ int(c*255) for c in face.col]

self.file.write("\"\n")

self.file.write("\"\n")
-        self.file.write("\tstyle=\"fill:rgb("+str(intensity)+","+str(intensity)+","+str(intensity)+");")
+        self.file.write("\tstyle=\"fill:rgb("+str(color[0])+","+str(color[1])+","+str(color[2])+");")
self.file.write(" stroke:rgb(0,0,0);")
self.file.write(" stroke:rgb(0,0,0);")
-        self.file.write(" stroke-width:"+str(stroke_width)+"\"/>\n")
+        self.file.write(" stroke-width:"+str(stroke_width)+";\n")
+        self.file.write(" stroke-linecap:round;stroke-linejoin:round\"/>\n")

# ---------------------------------------------------------------------

# ---------------------------------------------------------------------
@@ -355,6 +322,27 @@ class SVGVectorWriter(VectorWriter):
#
# ---------------------------------------------------------------------

#
# ---------------------------------------------------------------------

+def RotatePoint(PX,PY,PZ,AngleX,AngleY,AngleZ):
+
+    NewPoint = []
+    # Rotate X
+    NewY = (PY * cos(AngleX))-(PZ * sin(AngleX))
+    NewZ = (PZ * cos(AngleX))+(PY * sin(AngleX))
+    # Rotate Y
+    PZ = NewZ
+    PY = NewY
+    NewZ = (PZ * cos(AngleY))-(PX * sin(AngleY))
+    NewX = (PX * cos(AngleY))+(PZ * sin(AngleY))
+    PX = NewX
+    PZ = NewZ
+    # Rotate Z
+    NewX = (PX * cos(AngleZ))-(PY * sin(AngleZ))
+    NewY = (PY * cos(AngleZ))+(PX * sin(AngleZ))
+    NewPoint.append(NewX)
+    NewPoint.append(NewY)
+    NewPoint.append(NewZ)
+    return NewPoint
+
class Renderer:
"""Render a scene viewed from a given camera.

class Renderer:
"""Render a scene viewed from a given camera.

@@ -374,6 +362,7 @@ class Renderer:
self.canvasSize = (0.0, 0.0)

self.canvasSize = (0.0, 0.0)

+    ##
# Public Methods
#

# Public Methods
#

@@ -395,16 +384,13 @@ class Renderer:
if cameraObj == None:
cameraObj = scene.getCurrentCamera()

if cameraObj == None:
cameraObj = scene.getCurrentCamera()

-        # TODO: given the camera get the Wold-to-camera transform and the
-        # projection matrix
-
context = scene.getRenderingContext()
self.canvasSize = (context.imageSizeX(), context.imageSizeY())

Objects = scene.getChildren()

context = scene.getRenderingContext()
self.canvasSize = (context.imageSizeX(), context.imageSizeY())

Objects = scene.getChildren()

-        # A mesh to store the transformed geometrical structure
-        mesh = []
+        # A structure to store the transformed scene
+        newscene = []

for obj in Objects:

for obj in Objects:

@@ -412,69 +398,127 @@ class Renderer:
print "Type:", obj.getType(), "\tSorry, only mesh Object supported!"
continue

print "Type:", obj.getType(), "\tSorry, only mesh Object supported!"
continue

-            OBJmesh = obj.getData()           # Get the mesh data for the object
-            meshfaces = OBJmesh.faces        # The number of faces in the object
+            # Get a projector for this object
+            proj = Projector(cameraObj, obj, self.canvasSize)

-            transformed_object = []
+            # Let's store the transformed data
+            transformed_mesh = NMesh.New(obj.name)

-            for face in meshfaces:
+            # Store the materials
+            materials = obj.getData().getMaterials()
+
+            meshfaces = obj.getData().faces

-                # TODO: per face color calculation
-                # TODO: add/sorting in Z' direction (per face??)
+            for face in meshfaces:

# if the face is visible flatten it on the "picture plane"

# if the face is visible flatten it on the "picture plane"
-                if isFaceVisible(face, obj, cameraObj):
+                if self._isFaceVisible(face, obj, cameraObj):

# Store transformed face
transformed_face = []

for vert in face:

# Store transformed face
transformed_face = []

for vert in face:

-                        vertxyz = list(vert)
-
-                        p1 = flatten_new(vert, cameraObj, self.canvasSize,
-                                obj)
-                        transformed_face.append(p1)
-                        continue
-
-                        # rotate camera
-                        vertxyz = RotatePoint(vertxyz[0], vertxyz[1], vertxyz[2],
-                                cameraObj.RotX, cameraObj.RotY, cameraObj.RotZ)
-                                #-cameraObj.RotX, -cameraObj.RotY, -cameraObj.RotZ)
-
+                        p = proj.doProjection(vert.co)

-                        # original setting for translate
-                        vertxyz[0] -= (obj.LocX - cameraObj.LocX)
-                        vertxyz[1] -= (obj.LocY - cameraObj.LocY)
-                        vertxyz[2] -= (obj.LocZ - cameraObj.LocZ)
+                        transformed_vert = NMesh.Vert(p[0], p[1], p[2])
+                        transformed_face.append(transformed_vert)

+                    newface = NMesh.Face(transformed_face)
+
+                    # Per-face color calculation
+                    # code taken mostly from the original vrm script
+                    # TODO: understand the code and rewrite it clearly
+                    ambient = -250
+                    fakelight = [10, 10, 15]
+                    norm = face.normal
+                    vektori = (norm[0]*fakelight[0]+norm[1]*fakelight[1]+norm[2]*fakelight[2])
+                    vduzine = fabs(sqrt(pow(norm[0],2)+pow(norm[1],2)+pow(norm[2],2))*sqrt(pow(fakelight[0],2)+pow(fakelight[1],2)+pow(fakelight[2],2)))
+                    intensity = floor(ambient + 200*acos(vektori/vduzine))/200
+                    if intensity < 0:
+                        intensity = 0
+
+                    if materials:
+                        newface.col = materials[face.mat].getRGBCol()
+                    else:
+                        newface.col = [0.5, 0.5, 0.5]
+
+                    newface.col = [ (c>0) and (c-intensity) for c in newface.col]
+

-                        # rotate object
-                        vertxyz = RotatePoint(vertxyz[0], vertxyz[1], vertxyz[2], obj.RotX, obj.RotY, obj.RotZ)
-
+            # at the end of the loop on obj
+
+            #transformed_object = NMesh.PutRaw(transformed_mesh)
+            newscene.append(transformed_mesh)

+        # reverse the order (TODO: See how is the object order in NMesh)
+        #newscene.reverse()
+
+        return newscene

-                        p1 = flatten(vertxyz[0], vertxyz[1], vertxyz[2],
-                            cameraObj, self.canvasSize)

-                        transformed_face.append(p1)
-
-                    # just some fake lighting...
+    ##
+    # Private Methods
+    #

-                    transformed_object.append(transformed_face)
+    def _isFaceVisible(self, face, obj, cameraObj):
+        """Determine if the face is visible from the current camera.

-            # at the end of the loop on obj
-            mesh.append(transformed_object)
-        return mesh
+        The following code is taken basicly from the original vrm script.
+        """

+        camera = cameraObj

-    # Private Methods
-    #
+        numvert = len(face)

-    def _removehiddenFaces(obj):
-        return
+        # backface culling

-    def _testClipping(face):
+        # translate and rotate according to the object matrix
+        # and then translate according to the camera position
+        #m = obj.getMatrix()
+        #m.transpose()
+
+        #a = m*Vector(face[0]) - Vector(cameraObj.loc)
+        #b = m*Vector(face[1]) - Vector(cameraObj.loc)
+        #c = m*Vector(face[numvert-1]) - Vector(cameraObj.loc)
+
+        a = []
+        a.append(face[0][0])
+        a.append(face[0][1])
+        a.append(face[0][2])
+        a = RotatePoint(a[0], a[1], a[2], obj.RotX, obj.RotY, obj.RotZ)
+        a[0] += obj.LocX - camera.LocX
+        a[1] += obj.LocY - camera.LocY
+        a[2] += obj.LocZ - camera.LocZ
+        b = []
+        b.append(face[1][0])
+        b.append(face[1][1])
+        b.append(face[1][2])
+        b = RotatePoint(b[0], b[1], b[2], obj.RotX, obj.RotY, obj.RotZ)
+        b[0] += obj.LocX - camera.LocX
+        b[1] += obj.LocY - camera.LocY
+        b[2] += obj.LocZ - camera.LocZ
+        c = []
+        c.append(face[numvert-1][0])
+        c.append(face[numvert-1][1])
+        c.append(face[numvert-1][2])
+        c = RotatePoint(c[0], c[1], c[2], obj.RotX, obj.RotY, obj.RotZ)
+        c[0] += obj.LocX - camera.LocX
+        c[1] += obj.LocY - camera.LocY
+        c[2] += obj.LocZ - camera.LocZ
+
+        norm = Vector([0,0,0])
+        norm[0] = (b[1] - a[1])*(c[2] - a[2]) - (c[1] - a[1])*(b[2] - a[2])
+        norm[1] = -((b[0] - a[0])*(c[2] - a[2]) - (c[0] - a[0])*(b[2] - a[2]))
+        norm[2] = (b[0] - a[0])*(c[1] - a[1]) - (c[0] - a[0])*(b[1] - a[1])
+
+        d = norm[0]*a[0] + norm[1]*a[1] + norm[2]*a[2]
+        # d = DotVecs(norm, Vector(a))
+
+        return (d<0)
+
+    def _doClipping(face):
return

return

@@ -485,17 +529,35 @@ class Renderer:
# ---------------------------------------------------------------------

# ---------------------------------------------------------------------

-scene   = Scene.GetCurrent()
-renderer = Renderer()
+# hackish sorting of faces according to the max z value of a vertex
+def zSorting(scene):
+    for o in scene:
+        o.faces.sort(lambda f1, f2:
+                # Sort faces according to the min z coordinate in a face
+                #cmp(min([v[2] for v in f1]), min([v[2] for v in f2])))
+
+                # Sort faces according to the max z coordinate in a face
+                cmp(max([v[2] for v in f1]), max([v[2] for v in f2])))
+
+                # Sort faces according to the avg z coordinate in a face
+                #cmp(sum([v[2] for v in f1])/len(f1), sum([v[2] for v in f2])/len(f2)))
+        o.faces.reverse()
+

-projectedMesh = renderer.doRendering(scene)
-canvasSize = renderer.getCanvasSize()
+def vectorize(filename):
+    scene   = Scene.GetCurrent()
+    renderer = Renderer()

-# hackish sorting of faces according to the max z value of a vertex
-for o in projectedMesh:
-    o.sort(lambda f1, f2:
-            cmp(sum([v[2] for v in f1])/len(f1), sum([v[2] for v in f2])/len(f2)))
-    o.reverse()
+    flatScene = renderer.doRendering(scene)
+    canvasSize = renderer.getCanvasSize()
+
+    zSorting(flatScene)
+
+    writer = SVGVectorWriter(filename, canvasSize)
+    writer.printCanvas(flatScene)
+
+try:
+    Blender.Window.FileSelector (vectorize, 'Save SVG', "proba.svg")
+except:
+    vectorize("proba.svg")

-writer = SVGVectorWriter("proba.svg", canvasSize)
-writer.printCanvas(projectedMesh)