mirror of
https://github.com/jhasse/poly2tri.git
synced 2024-11-26 15:26:12 +01:00
added triangulator class
This commit is contained in:
zzzzrrr
parent
a932c1b709
commit
76a60ae144
@ -29,6 +29,7 @@
|
||||
# NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
|
||||
# SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
|
||||
#
|
||||
from random import shuffle
|
||||
|
||||
###
|
||||
### Based on Raimund Seidel'e paper "A simple and fast incremental randomized
|
||||
@ -42,13 +43,111 @@ cdef extern from 'math.h':
|
||||
double floor(double)
|
||||
double sqrt(double)
|
||||
|
||||
class Triangulator:
|
||||
|
||||
def __init__(self, points):
|
||||
self.polygons = []
|
||||
self.edge_list = self.init_edges(points)
|
||||
self.trapezoids = []
|
||||
self.trapezoidal_map = TrapezoidalMap()
|
||||
boundingBox = self.trapezoidal_map.boundingBox(self.edge_list)
|
||||
self.query_graph = QueryGraph(Sink(boundingBox))
|
||||
self.xmono_poly = []
|
||||
self.process()
|
||||
|
||||
def trapezoidMap(self):
|
||||
return self.trapezoidal_map.map
|
||||
|
||||
# Build the trapezoidal map and query graph
|
||||
def process(self):
|
||||
for e in self.edge_list:
|
||||
traps = self.query_graph.followSegment(e)
|
||||
for t in traps:
|
||||
self.trapezoidal_map.map.remove(t)
|
||||
for t in traps:
|
||||
tlist = []
|
||||
cp = t.contains(e.p)
|
||||
cq = t.contains(e.q)
|
||||
if cp and cq:
|
||||
tlist = self.trapezoidal_map.case1(t, e)
|
||||
self.query_graph.case1(t.sink, e, tlist)
|
||||
elif cp and not cq:
|
||||
tlist = self.trapezoidal_map.case2(t, e)
|
||||
self.query_graph.case2(t.sink, e, tlist)
|
||||
elif not cp and not cq:
|
||||
tlist = self.trapezoidal_map.case3(t, e)
|
||||
self.query_graph.case3(t.sink, e, tlist)
|
||||
else:
|
||||
tlist = self.trapezoidal_map.case4(t, e)
|
||||
self.query_graph.case4(t.sink, e, tlist)
|
||||
|
||||
# Add new trapezoids to map
|
||||
for t in tlist:
|
||||
self.trapezoidal_map.map.append(t)
|
||||
|
||||
self.trapezoidal_map.clear()
|
||||
|
||||
# Mark outside trapezoids
|
||||
for t in self.trapezoidal_map.map:
|
||||
self.mark_outside(t)
|
||||
|
||||
# Collect interior trapezoids
|
||||
for t in self.trapezoidal_map.map:
|
||||
if t.inside():
|
||||
self.trapezoids.append(t)
|
||||
t.add_points()
|
||||
|
||||
self.create_mountains()
|
||||
|
||||
def mono_polies(self):
|
||||
polies = []
|
||||
for x in self.xmono_poly:
|
||||
polies.append(x.monoPoly)
|
||||
return polies
|
||||
|
||||
def create_mountains(self):
|
||||
for s in self.edge_list:
|
||||
if len(s.mpoints) > 0:
|
||||
mountain = MonotoneMountain()
|
||||
k = merge_sort(s.mpoints)
|
||||
points = [s.p] + k + [s.q]
|
||||
for p in points:
|
||||
mountain.append(p)
|
||||
mountain.process()
|
||||
for t in mountain.triangles:
|
||||
self.polygons.append(t)
|
||||
self.xmono_poly.append(mountain)
|
||||
|
||||
def mark_outside(self, t):
|
||||
if t.top is self.boundingBox.top or t.bottom is self.boundingBox.bottom:
|
||||
t.trimNeighbors()
|
||||
|
||||
def init_edges(self, points):
|
||||
edges = []
|
||||
for i in range(len(points)-1):
|
||||
edges.append(Edge(points[i], points[i+1]))
|
||||
edges.append(Edge(points[0], points[-1]))
|
||||
return self.order_edges(edges)
|
||||
|
||||
def order_edges(self, edges):
|
||||
segs = []
|
||||
for s in edges:
|
||||
p = self.shearTransform(s.p)
|
||||
q = self.shearTransform(s.q)
|
||||
if p.x > q.x: segs.append(Edge(q, p))
|
||||
elif p.x < q.x: segs.append(Edge(p, q))
|
||||
shuffle(segs)
|
||||
return segs
|
||||
|
||||
def shearTransform(self, point):
|
||||
return Point(point.x + 1e-4 * point.y, point.y)
|
||||
|
||||
cdef list merge_sort(list l):
|
||||
cdef list lleft, lright
|
||||
cdef int p1, p2, p
|
||||
if len(l)>1 :
|
||||
lleft = merge_sort(l[:len(l)/2])
|
||||
lright = merge_sort(l[len(l)/2:])
|
||||
#do merge here
|
||||
p1, p2, p = 0, 0, 0
|
||||
while p1<len(lleft) and p2<len(lright):
|
||||
if lleft[p1][0] < lright[p2][0]:
|
||||
@ -387,26 +486,20 @@ class Node:
|
||||
def __init__(self, left, right):
|
||||
self.left = left
|
||||
self.right = right
|
||||
if left is not None:
|
||||
left.parent_list.append(self)
|
||||
if right is not None:
|
||||
right.parent_list.append(self)
|
||||
if left is not None: left.parent_list.append(self)
|
||||
if right is not None: right.parent_list.append(self)
|
||||
|
||||
def replace(self, node):
|
||||
for parent in node.parent_list:
|
||||
if parent.left is node:
|
||||
parent.left = self
|
||||
else:
|
||||
parent.right = self
|
||||
if parent.left is node: parent.left = self
|
||||
else: parent.right = self
|
||||
self.parent_list.append(parent)
|
||||
|
||||
class Sink(Node):
|
||||
|
||||
def __new__(cls, trapezoid):
|
||||
if trapezoid.sink is not None:
|
||||
return trapezoid.sink
|
||||
else:
|
||||
return Sink(trapezoid)
|
||||
if trapezoid.sink is not None: return trapezoid.sink
|
||||
else: return Sink(trapezoid)
|
||||
|
||||
def __init__(self, trapezoid):
|
||||
Node.__init__(self, None, None)
|
||||
@ -424,10 +517,8 @@ class XNode(Node):
|
||||
self.rchild = rchild
|
||||
|
||||
def locate(self, e):
|
||||
if e.p.x >= self.point.x:
|
||||
return self.right.locate(e)
|
||||
else:
|
||||
return self.left.locate(e)
|
||||
if e.p.x >= self.point.x: return self.right.locate(e)
|
||||
else: return self.left.locate(e)
|
||||
|
||||
class YNode(Node):
|
||||
|
||||
@ -438,15 +529,11 @@ class YNode(Node):
|
||||
self.rchild = rchild
|
||||
|
||||
def locate(self, e):
|
||||
if self.edge.is_above(e.p):
|
||||
return self.right.locate(e)
|
||||
elif self.edge.is_below(e.p):
|
||||
return self.left.locate(e)
|
||||
if self.edge.is_above(e.p): return self.right.locate(e)
|
||||
elif self.edge.is_below(e.p): return self.left.locate(e)
|
||||
else:
|
||||
if e.slope < self.edge.slope:
|
||||
return self.right.locate(e)
|
||||
else:
|
||||
return self.left.locate(e)
|
||||
if e.slope < self.edge.slope: return self.right.locate(e)
|
||||
else: return self.left.locate(e)
|
||||
|
||||
class QueryGraph:
|
||||
|
||||
|
||||
Loading…
Reference in New Issue
Block a user