mirror of https://github.com/jhasse/poly2tri.git
fixed Python Seidel algo
This commit is contained in:
zzzzrrr
parent
bdcfc0eb04
commit
48805d55db
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@ -0,0 +1,5 @@
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100.0 100.0
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-100.0 100.0
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-100.0 -100.0
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0.0 0.0
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100.0 -100.0
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@ -14,7 +14,7 @@ SEGMENTS = 25
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INCREMENT = 2.0 * PI / SEGMENTS
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def init_gl(width, height):
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#glEnable(GL_LINE_SMOOTH)
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glEnable(GL_LINE_SMOOTH)
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glEnable(GL_BLEND)
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glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA)
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glClearColor(0.0, 0.0, 0.0, 0.0)
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@ -5,22 +5,24 @@ from seidel import Triangulator
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class Poly2Tri(Game):
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#Screen size
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screen_size = 800.0, 600.0
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def __init__(self):
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super(Poly2Tri, self).__init__(*self.screen_size)
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# Load point set
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file_name = "../data/star.dat"
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points = self.load_points(file_name)
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file_name = "../data/dude.dat"
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self.points = self.load_points(file_name)
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# Triangulate
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t1 = self.time
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seidel = Triangulator(points)
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seidel = Triangulator(self.points)
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dt = (self.time - t1) * 1000.0
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self.triangles = seidel.triangles()
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dt = self.time - t1
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print "time = %f , num triangles = %d" % (dt, len(self.triangles))
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self.trapezoids = seidel.trapezoids
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#self.trapezoids = seidel.trapezoidal_map.map
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print "time (ms) = %f , num triangles = %d" % (dt, len(self.triangles))
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self.main_loop()
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@ -28,11 +30,20 @@ class Poly2Tri(Game):
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pass
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def render(self):
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reset_zoom(1.0, (0,0), self.screen_size)
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reset_zoom(2.0, (400, 500), self.screen_size)
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red = 255, 0, 0
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for t in self.triangles:
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draw_polygon(t, red)
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green = 0, 255, 0
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#draw_polygon(self.points, green)
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'''
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yellow = 255, 255, 0
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for t in self.trapezoids:
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#verts = self.trapezoids[key].vertices()
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verts = t.vertices()
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draw_polygon(verts, yellow)
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'''
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def load_points(self, file_name):
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infile = open(file_name, "r")
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points = []
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185
python/seidel.py
185
python/seidel.py
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@ -32,10 +32,11 @@
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from random import shuffle
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from math import atan2, floor
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###
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### Based on Raimund Seidel'e paper "A simple and fast incremental randomized
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### algorithm for computing trapezoidal decompositions and for triangulating polygons"
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### (Ported from poly2tri)
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##
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## Based on Raimund Seidel'e paper "A simple and fast incremental randomized
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## algorithm for computing trapezoidal decompositions and for triangulating polygons"
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## (Ported from poly2tri)
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##
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class Point(object):
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@ -76,23 +77,21 @@ class Point(object):
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def less(self, p):
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return self.x < p.x
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def not_equal(self, p):
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return not (p.x == self.x and p.y == self.y)
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def clone(self):
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return Point(self.x, self.y)
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class Edge(object):
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mpoints = []
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above, below = None, None
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def __init__(self, p, q):
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self.p = p
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self.q = q
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self.slope = 0.0 if (q.x - p.x) == 0 else (q.y - p.y)/(q.x - p.x)
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self.slope = 0.0 if (q.x - p.x) == 0.0 else (q.y - p.y)/(q.x - p.x)
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self.b = p.y - (p.x * self.slope)
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self.above, self.below = None, None
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self.mpoints = []
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self.mpoints.append(p)
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self.mpoints.append(q)
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def is_above(self, point):
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return (floor(point.y) < floor(self.slope * point.x + self.b))
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@ -105,10 +104,10 @@ class Edge(object):
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b = self.q
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a1 = self.signed_area(a, b, d)
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a2 = self.signed_area(a, b, c)
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if a1 != 0 and a2 != 0 and (a1 * a2) < 0:
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if a1 != 0.0 and a2 != 0.0 and (a1 * a2) < 0.0:
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a3 = self.signed_area(c, d, a)
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a4 = a3 + a2 - a1
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if a3 * a4 < 0:
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if a3 * a4 < 0.0:
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t = a3 / (a3 - a4)
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return a + ((b - a) * t)
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return 0.0
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@ -117,12 +116,13 @@ class Edge(object):
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return (a.x - c.x) * (b.y - c.y) - (a.y - c.y) * (b.x - c.x)
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class Trapezoid(object):
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def __init__(self, left_point, right_point, top, bottom):
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self.left_point = left_point
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self.right_point = right_point
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self.top = top
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self.bottom = bottom
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self.hash = hash(self)
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self.upper_left = None
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self.upper_right = None
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self.lower_left = None
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@ -132,26 +132,26 @@ class Trapezoid(object):
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def update_left(self, ul, ll):
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self.upper_left = ul
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self.lower_left = ll
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if ul != None: ul.upper_right = self
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if ll != None: ll.lower_right = self
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self.lower_left = ll
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if ll != None: ll.lower_right = self
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def update_right(self, ur, lr):
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self.upper_right = ur
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self.lower_right = lr
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if ur != None: ur.upper_left = self
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if lr != None: lr.lower_left = self
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self.lower_right = lr
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if lr != None: lr.lower_left = self
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def update_left_right(self, ul, ll, ur, lr):
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self.upper_left = ul
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self.lower_left = ll
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self.upper_right = ur
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self.lower_right = lr
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if ul != None: ul.upper_right = self
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self.lower_left = ll
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if ll != None: ll.lower_right = self
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self.upper_right = ur
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if ur != None: ur.upper_left = self
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self.lower_right = lr
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if lr != None: lr.lower_left = self
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def trim_neighbors(self):
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if self.inside:
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self.inside = False
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@ -165,12 +165,11 @@ class Trapezoid(object):
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self.top.is_above(point) and self.bottom.is_below(point))
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def vertices(self):
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verts = []
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verts.append(line_intersect(self.top, self.left_point.x))
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verts.append(line_intersect(self.bottom, self.left_point.x))
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verts.append(line_intersect(self.bottom, self.right_point.x))
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verts.append(line_intersect(self.top, self.right_point.x))
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return verts
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v1 = line_intersect(self.top, self.left_point.x)
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v2 = line_intersect(self.bottom, self.left_point.x)
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v3 = line_intersect(self.bottom, self.right_point.x)
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v4 = line_intersect(self.top, self.right_point.x)
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return v1, v2, v3, v4
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def add_points(self):
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if self.left_point != self.bottom.p:
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@ -184,19 +183,19 @@ class Trapezoid(object):
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def line_intersect(edge, x):
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y = edge.slope * x + edge.b
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return Point(x, y)
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return x, y
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class Triangulator(object):
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def __init__(self, poly_line):
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self.polygons = []
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self.edge_list = self.init_edges(poly_line)
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self.trapezoids = []
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self.xmono_poly = []
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self.edge_list = self.init_edges(poly_line)
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self.trapezoidal_map = TrapezoidalMap()
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self.bounding_box = self.trapezoidal_map.bounding_box(self.edge_list)
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self.query_graph = QueryGraph(isink(self.bounding_box))
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self.xmono_poly = []
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self.process()
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def triangles(self):
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@ -214,13 +213,11 @@ class Triangulator(object):
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# Build the trapezoidal map and query graph
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def process(self):
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for edge in self.edge_list:
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traps = self.query_graph.follow_edge(edge)
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for t in traps:
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try:
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self.trapezoidal_map.map.remove(t)
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except:
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pass
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traps = self.query_graph.follow_edge(edge)
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for t in traps:
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# Remove old trapezods
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del self.trapezoidal_map.map[t.hash]
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# Bisect old trapezoids and create new
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cp = t.contains(edge.p)
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cq = t.contains(edge.q)
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if cp and cq:
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@ -237,19 +234,22 @@ class Triangulator(object):
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self.query_graph.case4(t.sink, edge, tlist)
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# Add new trapezoids to map
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for t in tlist:
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self.trapezoidal_map.map.append(t)
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self.trapezoidal_map.map[t.hash] = t
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self.trapezoidal_map.clear()
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#TODO remove invalid/extra trapezoids
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#print len(self.trapezoidal_map.map)
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# Mark outside trapezoids
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for t in self.trapezoidal_map.map:
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# Mark outside trapezoids w/ depth-first search
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for k, t in self.trapezoidal_map.map.items():
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self.mark_outside(t)
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# Collect interior trapezoids
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for t in self.trapezoidal_map.map:
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for k, t in self.trapezoidal_map.map.items():
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if t.inside:
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self.trapezoids.append(t)
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t.add_points()
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# Generate the triangles
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self.create_mountains()
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@ -260,11 +260,10 @@ class Triangulator(object):
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return polies
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def create_mountains(self):
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for edge in self.edge_list:
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if len(edge.mpoints) > 0:
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for edge in self.edge_list:
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if len(edge.mpoints) > 2:
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mountain = MonotoneMountain()
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k = merge_sort(edge.mpoints)
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points = [edge.p] + k + [edge.q]
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points = merge_sort(edge.mpoints)
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for p in points:
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mountain.add(p)
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mountain.process()
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@ -296,7 +295,7 @@ class Triangulator(object):
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edges.append(Edge(q, p))
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elif p.x < q.x:
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edges.append(Edge(p, q))
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shuffle(edges)
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#shuffle(edges)
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return edges
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def shear_transform(self, point):
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@ -323,18 +322,17 @@ def merge_sort(l):
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class TrapezoidalMap(object):
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map = []
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margin = 50
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bcross = None
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tcross = None
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def __init__(self):
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self.map = {}
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self.margin = 50.0
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self.bcross = None
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self.tcross = None
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def clear(self):
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self.bcross = None
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self.tcross = None
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map = []
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def case1(self, trapezoid, edge):
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t = trapezoid; e = edge
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def case1(self, t, e):
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trapezoids = []
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trapezoids.append(Trapezoid(t.left_point, e.p, t.top, t.bottom))
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trapezoids.append(Trapezoid(e.p, e.q, t.top, e))
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@ -346,8 +344,7 @@ class TrapezoidalMap(object):
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trapezoids[3].update_right(t.upper_right, t.lower_right)
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return trapezoids
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def case2(self, trapezoid, edge):
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t = trapezoid; e = edge
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def case2(self, t, e):
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rp = e.q if e.q.x == t.right_point.x else t.right_point
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trapezoids = []
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trapezoids.append(Trapezoid(t.left_point, e.p, t.top, t.bottom))
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@ -362,8 +359,7 @@ class TrapezoidalMap(object):
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e.below = trapezoids[2]
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return trapezoids
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def case3(self, trapezoid, edge):
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t = trapezoid; e = edge
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def case3(self, t, e):
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lp = e.p if e.p.x == t.left_point.x else t.left_point
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rp = e.q if e.q.x == t.right_point.x else t.right_point
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trapezoids = []
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@ -387,8 +383,7 @@ class TrapezoidalMap(object):
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e.below = trapezoids[1]
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return trapezoids
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def case4(self, trapezoid, edge):
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t = trapezoid; e = edge
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def case4(self, t, e):
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lp = e.p if e.p.x == t.left_point.x else t.left_point
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trapezoids = []
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if self.tcross is t.top:
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@ -411,21 +406,23 @@ class TrapezoidalMap(object):
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margin = self.margin
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max = edges[0].p + margin
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min = edges[0].q - margin
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for edge in edges:
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if edge.p.x > max.x: max = Point(edge.p.x + margin, max.y)
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if edge.p.y > max.y: max = Point(max.x, edge.p.y + margin)
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if edge.q.x > max.x: max = Point(edge.q.x + margin, max.y)
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if edge.q.y > max.y: max = Point(max.x, edge.q.y + margin)
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if edge.p.x < min.x: min = Point(edge.p.x - margin, min.y)
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if edge.p.y < min.y: min = Point(min.x, edge.p.y - margin)
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if edge.q.x < min.x: min = Point(edge.q.x - margin, min.y)
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if edge.q.y < min.y: min = Point(min.x, edge.q.y - margin)
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for e in edges:
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if e.p.x > max.x: max = Point(e.p.x + margin, max.y)
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if e.p.y > max.y: max = Point(max.x, e.p.y + margin)
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if e.q.x > max.x: max = Point(e.q.x + margin, max.y)
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if e.q.y > max.y: max = Point(max.x, e.q.y + margin)
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if e.p.x < min.x: min = Point(e.p.x - margin, min.y)
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if e.p.y < min.y: min = Point(min.x, e.p.y - margin)
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if e.q.x < min.x: min = Point(e.q.x - margin, min.y)
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if e.q.y < min.y: min = Point(min.x, e.q.y - margin)
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top = Edge(Point(min.x, max.y), Point(max.x, max.y))
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bottom = Edge(Point(min.x, min.y), Point(max.x, min.y))
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left = bottom.p
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right = top.q
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return Trapezoid(left, right, top, bottom)
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trap = Trapezoid(left, right, top, bottom)
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self.map[hash(trap)] = trap
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return trap
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class Node(object):
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def __init__(self, left, right):
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@ -533,9 +530,8 @@ class QueryGraph:
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qNode = XNode(edge.q, yNode, isink(tlist[2]))
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self.replace(sink, qNode)
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PI_SLOP = 3.1
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class MonotoneMountain:
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def __init__(self):
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@ -549,17 +545,17 @@ class MonotoneMountain:
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self.convex_polies = []
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def add(self, point):
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if self.size == 0:
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if self.size is 0:
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self.head = point
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self.size += 1
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elif self.size == 1:
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if point.not_equal(self.head):
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self.size = 1
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elif self.size is 1:
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if point != self.head:
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self.tail = point
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self.tail.prev = self.head
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self.head.next = self.tail
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self.size += 1
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self.size = 2
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else:
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if point.not_equal(self.tail):
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if point != self.tail:
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self.tail.next = point
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point.prev = self.tail
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self.tail = point
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@ -576,9 +572,9 @@ class MonotoneMountain:
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self.positive = self.angle_sign()
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self.gen_mono_poly()
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p = self.head.next
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while p is not self.tail:
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while p != self.tail:
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a = self.angle(p)
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if a >= PI_SLOP or a <= -PI_SLOP:
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if a >= PI_SLOP or a <= -PI_SLOP or a == 0:
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self.remove(p)
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elif self.is_convex(p):
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self.convex_points.append(p)
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@ -586,16 +582,18 @@ class MonotoneMountain:
|
|||
self.triangulate()
|
||||
|
||||
def triangulate(self):
|
||||
while len(self.convex_points) > 0:
|
||||
while self.convex_points:
|
||||
ear = self.convex_points.pop(0)
|
||||
a = ear.prev
|
||||
b = ear
|
||||
c = ear.next
|
||||
triangle = [a, b, c]
|
||||
triangle = (a, b, c)
|
||||
self.triangles.append(triangle)
|
||||
self.remove(ear)
|
||||
if self.valid(a): self.convex_points.append(a)
|
||||
if self.valid(c): self.convex_points.append(c)
|
||||
if self.valid(a):
|
||||
self.convex_points.append(a)
|
||||
if self.valid(c):
|
||||
self.convex_points.append(c)
|
||||
assert(self.size <= 3, "Triangulation bug, please report")
|
||||
|
||||
def valid(self, p):
|
||||
|
|
@ -618,5 +616,6 @@ class MonotoneMountain:
|
|||
return atan2(a.cross(b), a.dot(b)) >= 0
|
||||
|
||||
def is_convex(self, p):
|
||||
if self.positive != (self.angle(p) >= 0): return False
|
||||
return True
|
||||
if self.positive != (self.angle(p) >= 0):
|
||||
return False
|
||||
return True
|
||||
|
|
@ -79,16 +79,17 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
|
|||
var drawSegs = true
|
||||
var drawCDTMesh = false
|
||||
|
||||
val nazcaMonkey = "data/nazca_monkey.dat"
|
||||
val nazcaHeron = "data/nazca_heron_old.dat"
|
||||
val bird = "data/bird.dat"
|
||||
val snake = "data/i.snake"
|
||||
val star = "data/star.dat"
|
||||
val strange = "data/strange.dat"
|
||||
val i18 = "data/i.18"
|
||||
val tank = "data/tank.dat"
|
||||
val dude = "data/dude.dat"
|
||||
|
||||
val nazcaMonkey = "../data/nazca_monkey.dat"
|
||||
val nazcaHeron = "../data/nazca_heron_old.dat"
|
||||
val bird = "../data/bird.dat"
|
||||
val snake = "../data/i.snake"
|
||||
val star = "../data/star.dat"
|
||||
val strange = "../data/strange.dat"
|
||||
val i18 = "../data/i.18"
|
||||
val tank = "../data/tank.dat"
|
||||
val dude = "../data/dude.dat"
|
||||
val basic = "../data/basic.dat"
|
||||
|
||||
var currentModel = dude
|
||||
var doCDT = true
|
||||
// The current algorithm
|
||||
|
|
@ -207,7 +208,7 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
|
|||
}
|
||||
}
|
||||
|
||||
if(currentModel == "data/dude.dat" && drawSegs) {
|
||||
if(currentModel == "../data/dude.dat" && drawSegs) {
|
||||
g.setColor(green)
|
||||
for(i <- 0 until chestSegs.size) {
|
||||
val s = chestSegs(i)
|
||||
|
|
@ -287,7 +288,8 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
|
|||
if(c == '7') selectModel(nazcaHeron)
|
||||
if(c == '8') selectModel(tank)
|
||||
if(c == '9') selectModel(dude)
|
||||
|
||||
if(c == '0') selectModel(basic)
|
||||
|
||||
if(c == 'd') drawSegs = !drawSegs
|
||||
if(c == 'm') drawCDTMesh = !drawCDTMesh
|
||||
if(c == 't') drawMap = !drawMap
|
||||
|
|
@ -303,33 +305,36 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
|
|||
|
||||
def selectModel(model: String) {
|
||||
model match {
|
||||
case "data/nazca_monkey.dat" =>
|
||||
case "../data/nazca_monkey.dat" =>
|
||||
val clearPoint = Point(418, 282)
|
||||
loadModel(nazcaMonkey, 4.5f, Point(400, 300), 1500, clearPoint)
|
||||
case "data/bird.dat" =>
|
||||
case "../data/bird.dat" =>
|
||||
val clearPoint = Point(400, 300)
|
||||
loadModel(bird, 25f, Point(400, 300), 350, clearPoint)
|
||||
case "data/i.snake" =>
|
||||
case "../data/i.snake" =>
|
||||
val clearPoint = Point(336f, 196f)
|
||||
loadModel(snake, 10f, Point(600, 300), 10, clearPoint)
|
||||
case "data/star.dat" =>
|
||||
case "../data/star.dat" =>
|
||||
val clearPoint = Point(400, 204)
|
||||
loadModel(star, -1f, Point(0f, 0f), 10, clearPoint)
|
||||
case "data/strange.dat" =>
|
||||
case "../data/strange.dat" =>
|
||||
val clearPoint = Point(400, 268)
|
||||
loadModel(strange, -1f, Point(0f, 0f), 15, clearPoint)
|
||||
case "data/i.18" =>
|
||||
case "../data/i.18" =>
|
||||
val clearPoint = Point(510, 385)
|
||||
loadModel(i18, 20f, Point(600f, 500f), 20, clearPoint)
|
||||
case "data/nazca_heron_old.dat" =>
|
||||
case "../data/nazca_heron_old.dat" =>
|
||||
val clearPoint = Point(85, 290)
|
||||
loadModel(nazcaHeron, 4.2f, Point(400f, 300f), 1500, clearPoint)
|
||||
case "data/tank.dat" =>
|
||||
case "../data/tank.dat" =>
|
||||
val clearPoint = Point(450, 350)
|
||||
loadModel(tank, -1f, Point(100f, 0f), 10, clearPoint)
|
||||
case "data/dude.dat" =>
|
||||
case "../data/dude.dat" =>
|
||||
val clearPoint = Point(365, 427)
|
||||
loadModel(dude, -1f, Point(100f, -200f), 10, clearPoint)
|
||||
case "../data/basic.dat" =>
|
||||
val clearPoint = Point(365, 427)
|
||||
loadModel(basic, -1f, Point(400f, 300f), 10, clearPoint)
|
||||
case _ =>
|
||||
}
|
||||
currentModel = model
|
||||
|
|
@ -378,7 +383,7 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
|
|||
slCDT = new CDT(pts, clearPoint)
|
||||
|
||||
// Add some holes....
|
||||
if(model == "data/dude.dat") {
|
||||
if(model == "../data/dude.dat") {
|
||||
|
||||
val headHole = Array(Point(325f,437f), Point(320f,423f), Point(329f,413f), Point(332f,423f))
|
||||
val chestHole = Array(Point(320.72342f,480f), Point(338.90617f,465.96863f),
|
||||
|
|
@ -443,8 +448,8 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
|
|||
var xVerts = polyX.toArray
|
||||
var yVerts = polyY.toArray
|
||||
|
||||
val xv = if(currentModel != "data/strange.dat") xVerts.reverse.toArray else xVerts
|
||||
val yv = if(currentModel != "data/strange.dat") yVerts.reverse.toArray else yVerts
|
||||
val xv = if(currentModel != "../data/strange.dat") xVerts.reverse.toArray else xVerts
|
||||
val yv = if(currentModel != "../data/strange.dat") yVerts.reverse.toArray else yVerts
|
||||
|
||||
val t1 = System.nanoTime
|
||||
earClip.triangulatePolygon(xv, yv, xVerts.size, earClipResults)
|
||||
|
|
|
|||
|
|
@ -101,10 +101,10 @@ class MonotoneMountain {
|
|||
while(p != tail) {
|
||||
val a = angle(p)
|
||||
// If the point is almost colinear with it's neighbor, remove it!
|
||||
if(a >= PI_SLOP || a <= -PI_SLOP)
|
||||
remove(p)
|
||||
else
|
||||
if(convex(p)) convexPoints += p
|
||||
if(a >= PI_SLOP || a <= -PI_SLOP || a == 0.0)
|
||||
remove(p)
|
||||
else if(convex(p))
|
||||
convexPoints += p
|
||||
p = p.next
|
||||
}
|
||||
|
||||
|
|
|
|||
|
|
@ -112,7 +112,7 @@ class Triangulator(points: ArrayBuffer[Point]) {
|
|||
i += 1
|
||||
|
||||
}
|
||||
|
||||
|
||||
// Mark outside trapezoids
|
||||
for(t <- trapezoidalMap.map)
|
||||
markOutside(t)
|
||||
|
|
@ -147,7 +147,7 @@ class Triangulator(points: ArrayBuffer[Point]) {
|
|||
val s = segmentList(i)
|
||||
|
||||
if(s.mPoints.size > 0) {
|
||||
|
||||
|
||||
val mountain = new MonotoneMountain
|
||||
var k: List[Point] = null
|
||||
|
||||
|
|
@ -162,7 +162,6 @@ class Triangulator(points: ArrayBuffer[Point]) {
|
|||
k = Util.msort((p1: Point, p2: Point) => p1 < p2)(s.mPoints.toList)
|
||||
|
||||
val points = s.p :: k ::: List(s.q)
|
||||
|
||||
var j = 0
|
||||
while(j < points.size) {
|
||||
mountain += points(j)
|
||||
|
|
|
|||
Loading…
Reference in New Issue