CDT work; removed manual point drawing; added model; fixed bugs

data/bird.dat

@@ -236,9 +236,9 @@
 7.85981 -0.78467
 7.79516 -0.409667
 7.49774 -0.151043
-7.84688.042924
+7.84688 0.042924
-8.23481.314479
+8.23481 0.314479
-8.64861.702414
+8.64861 0.702414
 8.70034 1.09035
 8.41585 1.42656
 8.11843 1.62053

data/i.18

@@ -1,18 +1,18 @@
-0	0
+0 0
-10	7
+10 7
-12	3
+12 3
-20	8
+20 8
-13	17
+13 17
-10	12
+10 12
-12	14
+12 14
-14	9
+14 9
-8	10
+8 10
-6	14
+6 14
-10	15
+10 15
-7	18
+7 18
-0	16
+0 16
-1	13
+1 13
-3	15
+3 15
-5	8
+5 8
--2	9
+-2 9
-5	5
+5 5

data/i.snake

@@ -1,12 +1,12 @@
-10	0
+10 0
-20	10
+20 10
-30	0
+30 0
-40	10
+40 10
-50	0
+50 0
-50	10
+50 10
-40	20
+40 20
-30	10
+30 10
-20	20
+20 20
-10	10
+10 10
-0	20
+0 20
-0	10
+0 10

data/star.dat

@@ -0,0 +1,10 @@
+350 75
+379 161
+469 161
+397 215
+423 301
+350 250
+277 301
+303 215
+231 161
+321 161

data/strange.dat

@@ -0,0 +1,16 @@
+400 472
+500 392
+520 272
+460 232
+580 212
+480 152
+360 172
+360 52
+300 112
+200 32
+120 92
+200 72
+340 272
+208 212
+180 352
+300 312

src/org/poly2tri/Poly2Tri.scala

@@ -39,6 +39,7 @@ import scala.io.Source
 import seidel.Triangulator
 import shapes.{Segment, Point, Triangle}
 import earClip.EarClip
+import cdt.CDT
 
 // TODO: Lots of documentation!
 
@@ -73,6 +74,11 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
   
   val nazcaMonkey = "data/nazca_monkey.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"
+  
   var currentModel = nazcaMonkey
   
   def init(container: GameContainer) {
@@ -171,9 +177,10 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
     if(c == 'm') drawMap = !drawMap 
     if(c == '1') {currentModel = nazcaMonkey; selectModel}
     if(c == '2') {currentModel = bird; selectModel}
-    if(c == '3') {poly; earClipPoly}
+    if(c == '3') {currentModel = strange; selectModel}
-    if(c == '4') snake
+    if(c == '4') {currentModel = snake; selectModel}
-    if(c == '5') star
+    if(c == '5') {currentModel = star; selectModel}
+    if(c == '6') {currentModel = i18; selectModel}
     if(c == 's') drawSegs = !drawSegs
     if(c == 'e') {drawEarClip = !drawEarClip; selectModel}
     if(c == 'h') {hertelMehlhorn = !hertelMehlhorn; selectModel} 
@@ -185,147 +192,26 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
         loadModel(nazcaMonkey, 4.5f, Point(400, 300), 1500)
       case "data/bird.dat" => 
         loadModel(bird, 25f, Point(400, 300), 350)
+      case "data/i.snake" => 
+        loadModel(snake, 10f, Point(600, 300), 10)
+      case "data/star.dat" => 
+        loadModel(star, -1f, Point(0f, 0f), 10)
+      case "data/strange.dat" => 
+        loadModel(strange, -1f, Point(0f, 0f), 15)
+      case "data/i.18" => 
+        loadModel(i18, 15f, Point(500f, 400f), 20)
       case _ => 
         assert(false)
     }
   }
-  
+   
-  // Test #1
-  def poly {
-	
-    val p1 = Point(400,472)
-    val p2 = Point(500,392)
-    val p3 = Point(520,272)
-    val p4 = Point(460,232)
-    val p5 = Point(580,212)
-    val p6 = Point(480,152)
-    val p7 = Point(360,172)
-    val p8 = Point(360,52)
-    val p9 = Point(300,112)
-    val p10 = Point(200,32)
-    val p11 = Point(120,92)
-    val p12 = Point(200,72)
-    val p13 = Point(340,272)
-    val p14 = Point(208,212)
-    val p15 = Point(180,352)
-    val p16 = Point(300,312)
-    
-    segments = new ArrayBuffer[Segment]
-    segments += new Segment(p16, p1) 
-    segments += new Segment(p9, p10)
-    segments += new Segment(p13, p14)
-    segments += new Segment(p5, p6)
-    segments += new Segment(p2, p3)
-    segments += new Segment(p1, p2)
-    segments += new Segment(p4, p5)
-    segments += new Segment(p7, p8)
-    segments += new Segment(p8, p9)
-    segments += new Segment(p10, p11)
-    segments += new Segment(p11, p12)
-    segments += new Segment(p12, p13)
-    segments += new Segment(p3, p4)
-    segments += new Segment(p15, p16)
-    segments += new Segment(p14, p15)
-    segments += new Segment(p6, p7)
-    
-    tesselator = new Triangulator(segments)
-    tesselator.buildTriangles = hertelMehlhorn
-    
-    val t1 = System.nanoTime
-    tesselator process
-    val t2 = System.nanoTime
-    println
-    println("**Poly1**")
-    println("Poly2Tri total (ms) = " + (t2-t1)*1e-6)
-
-   }
-  
-  def star {
-	
-    val p1 = Point(350,75)
-    val p2 = Point(379,161)
-    val p3 = Point(469,161)
-    val p4 = Point(397,215)
-    val p5 = Point(423,301)
-    val p6 = Point(350,250)
-    val p7 = Point(277,301)
-    val p8 = Point(303,215)
-    val p9 = Point(231,161)
-    val p10 = Point(321,161)
-    
-    segments = new ArrayBuffer[Segment]
-    segments += new Segment(p1, p2)
-    segments += new Segment(p2, p3)
-    segments += new Segment(p3, p4)
-    segments += new Segment(p4, p5)
-    segments += new Segment(p5, p6)
-    segments += new Segment(p6, p7) 
-    segments += new Segment(p7, p8)
-    segments += new Segment(p8, p9)
-    segments += new Segment(p9, p10)
-    segments += new Segment(p10, p1)
-    
-    tesselator = new Triangulator(segments)
-    tesselator.buildTriangles = hertelMehlhorn
-    
-    val t1 = System.nanoTime
-    tesselator process
-    val t2 = System.nanoTime
-    println
-    println("**Star**")
-    println("Poly2Tri total (ms) = " + (t2-t1)*1e-6)
-  }
-  
-  // Test #2
-  def snake {
-	
-    val scale = 10.0f
-    val displace = 100
-    val p1 = Point(10,1)*scale+displace
-    val p2 = Point(20,10)*scale+displace
-    val p3 = Point(30,1)*scale+displace
-    val p4 = Point(40,10)*scale+displace
-    val p5 = Point(50,1)*scale+displace
-    val p6 = Point(50,10)*scale+displace
-    val p7 = Point(40,20)*scale+displace
-    val p8 = Point(30,10)*scale+displace
-    val p9 = Point(20,20)*scale+displace
-    val p10 = Point(10,10)*scale+displace
-    val p11 = Point(1,20)*scale+displace
-    val p12 = Point(1,10)*scale+displace
-    
-    segments = new ArrayBuffer[Segment]
-    segments += new Segment(p1, p2)
-    segments += new Segment(p2, p3)
-    segments += new Segment(p3, p4)
-    segments += new Segment(p4, p5)
-    segments += new Segment(p5, p6)
-    segments += new Segment(p6, p7) 
-    segments += new Segment(p7, p8)
-    segments += new Segment(p8, p9)
-    segments += new Segment(p9, p10)
-    segments += new Segment(p10, p11)
-    segments += new Segment(p11, p12)
-    segments += new Segment(p12, p1)
-    
-    tesselator = new Triangulator(segments)
-    tesselator.buildTriangles = hertelMehlhorn
-    
-    val t1 = System.nanoTime
-    tesselator process
-    val t2 = System.nanoTime
-    println
-    println("**Snake**")
-    println("Poly2Tri total (ms) = " + (t2-t1)*1e-6)
-
-  }
-  
   def loadModel(model: String, scale: Float, center: Point, maxTriangles: Int) {
     
     println("*** " + model + " ***")
     
     polyX = new ArrayBuffer[Float]
     polyY = new ArrayBuffer[Float]
+    val points = new ArrayBuffer[Point]
     
     val angle = Math.Pi
     for (line <- Source.fromFile(model).getLines) {
@@ -337,24 +223,20 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
        // Transform the shape
        polyX += (Math.cos(angle)*x - Math.sin(angle)*y).toFloat * scale + center.x
        polyY += (Math.sin(angle)*x + Math.cos(angle)*y).toFloat * scale + center.y
+       points += new Point(polyX.last, polyY.last)
+      } else {
+        throw new Exception("Bad input file")
       }
     }
-    
+    points.foreach(println)
     segments = new ArrayBuffer[Segment]
-    
+    for(i <- 0 until polyX.size-1)
-    var i = 0
+      segments += new Segment(points(i), points(i+1))
-    val numPoints = polyX.size
-    while(i < polyX.size-2) {
-      val p1 = new Point(polyX(i), polyY(i))
-      val p2 = new Point(polyX(i+1), polyY(i+1))
-      segments += new Segment(p1, p2)
-      i += 1
-    }
-    
     // Connect the end points
-    val p1 = segments(0).p
+    segments += new Segment(points.first, points.last)
-    val p2 = segments(segments.length-1).q
+    
-    segments += new Segment(p2, p1)
+    val cdt = CDT.init(points)
+    println(cdt.points.size + "," + cdt.segments.size)
     
     println("Number of points = " + polyX.size)
     println
@@ -379,8 +261,14 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
 	    earClipResults = new Array[poly2tri.earClip.Triangle](maxTriangles)
      
 	    for(i <- 0 until earClipResults.size) earClipResults(i) = new poly2tri.earClip.Triangle
-	    val xVerts = polyX.toArray.reverse
+     
-	    val yVerts = polyY.toArray.reverse
+	    var xVerts = polyX.toArray
+	    var yVerts = polyY.toArray
+       
+        if(currentModel != strange) {
+	      xVerts = xVerts.reverse
+          yVerts = yVerts.reverse
+        }
 	   
 	    val t1 = System.nanoTime
 	    earClip.triangulatePolygon(xVerts, yVerts, xVerts.size, earClipResults)
@@ -391,55 +279,5 @@ class Poly2TriDemo extends BasicGame("Poly2Tri") {
 	    println("Number of triangles = " + earClip.numTriangles)
     }
   }
-  
+   
-  def earClipPoly {
-    
-    val polyX = Array(400f, 500f, 520f, 460f, 580f, 480f, 360f, 360f, 300f, 200f, 120f, 200f, 340f, 208f, 180f, 300f)
-    val polyY = Array(472f, 392f, 272f, 232f, 212f, 152f, 172f, 52f, 112f, 32f, 92f, 72f, 272f, 212f, 352f, 312f)
-    
-    val earClipResults = new Array[poly2tri.earClip.Triangle](14)
-    for(i <- 0 until earClipResults.size) earClipResults(i) = new poly2tri.earClip.Triangle
-    val t1 = System.nanoTime
-    earClip.triangulatePolygon(polyX, polyY, polyX.size, earClipResults)
-    val t2 = System.nanoTime
-    println("Earclip total (ms) =  " + (t2-t1)*1e-6)
-  }
-  
-  def earClipSnake {
-    
-    val polyX = Array(200f, 300f, 400f, 500f, 600f, 600f, 500f, 400f, 300f, 200f, 110f, 110f)
-    val polyY = Array(110f, 200f, 110f, 200f, 110f, 200f, 300f, 200f, 300f, 200f, 300f, 200f)
-    
-    val earClipResults = new Array[poly2tri.earClip.Triangle](14)
-    for(i <- 0 until earClipResults.size) earClipResults(i) = new poly2tri.earClip.Triangle
-    val t1 = System.nanoTime
-    earClip.triangulatePolygon(polyX, polyY, polyX.size, earClipResults)
-    val t2 = System.nanoTime
-    println("Earclip total (ms) =  " + (t2-t1)*1e-6)
-  }
-  
-  def earClipStar {
-    
-    val p1 = Point(350,75)
-    val p2 = Point(379,161)
-    val p3 = Point(469,161)
-    val p4 = Point(397,215)
-    val p5 = Point(423,301)
-    val p6 = Point(350,250)
-    val p7 = Point(277,301)
-    val p8 = Point(303,215)
-    val p9 = Point(231,161)
-    val p10 = Point(321,161)
-    
-    val polyX = Array(350f, 379f, 469f, 397f, 423f, 350f, 277f, 303f, 231f, 321f)
-    val polyY = Array(75f, 161f, 161f, 215f, 301f, 250f, 301f,215f, 161f, 161f)
-    
-    val earClipResults = new Array[poly2tri.earClip.Triangle](14)
-    for(i <- 0 until earClipResults.size) earClipResults(i) = new poly2tri.earClip.Triangle
-    val t1 = System.nanoTime
-    earClip.triangulatePolygon(polyX, polyY, polyX.size, earClipResults)
-    val t2 = System.nanoTime
-    println("Earclip total (ms) =  " + (t2-t1)*1e-6)
-  }
-  
 }

src/org/poly2tri/cdt/CDT.scala

@@ -40,69 +40,73 @@ import utils.Util
  * See: Domiter, V. and Žalik, B.(2008)'Sweep-line algorithm for constrained Delaunay triangulation',
  *      International Journal of Geographical Information Science,22:4,449 — 462
  */
-class CDT(segments: ArrayBuffer[Segment]) {
+object CDT {
+  
+  // Inital triangle factor
+  val ALPHA = 0.3f
+  
+  def init(points: ArrayBuffer[Point]): CDT = {
+    
+    var xmax, xmin = 0f
+    var ymax, ymin = 0f
+    
+    // Calculate bounds
+    for(i <- 0 until points.size) { 
+      points(i) = shearTransform(points(i))
+      val p = points(i)
+      if(p.x > xmax) xmax = p.x
+      if(p.x < xmin) xmin = p.x
+      if(p.y > ymax) ymax = p.x
+      if(p.y < ymin) ymin = p.x
+    }
+    
+    val deltaX = ALPHA * (xmax - xmin)
+    val deltaY = ALPHA * (ymax - ymin)
+    val p1 = Point(xmin - deltaX, ymin - deltaY)
+    val p2 = Point(xmax - deltaX, ymin - deltaY)
+    
+    val initialTriangle = new Triangle(Array(p2, points(0), p1), null)
+    val segments = initSegments(points)
+    val sortedPoints = pointSort(points)
+    new CDT(sortedPoints, segments, initialTriangle)
+  }
+  
+    // Create segments and connect end points
+  private def initSegments(points: ArrayBuffer[Point]): List[Segment] = {
+    var segments = List[Segment]()
+    for(i <- 0 until points.size-1)
+      segments = new Segment(points(i), points(i+1)) :: segments
+    segments = new Segment(points.first, points.last) :: segments
+    segments
+  }
+  
+  // Insertion sort is one of the fastest algorithms for sorting arrays containing 
+  // fewer than ten elements, or for lists that are already mostly sorted.
+  // Merge sort: O(n log n)
+  private def pointSort(pts: ArrayBuffer[Point]): List[Point] = {
+    if(pts.size < 10) 
+      Util.insertSort((p1: Point, p2: Point) => p1 > p2)(pts).toList
+    else
+      Util.msort((p1: Point, p2: Point) => p1 > p2)(pts.toList)
+  }
+  
+  // Prevents any two distinct endpoints from lying on a common horizontal line, and avoiding
+  // the degenerate case. See Mark de Berg et al, Chapter 6.3
+  //val SHEER = 0.0001f
+  private def shearTransform(point: Point) = Point(point.x, point.y + point.x * 0.0001f)
+  
+}
 
-  // The initial triangle
+class CDT(val points: List[Point], val segments: List[Segment], initialTriangle: Triangle) {
-  var initialTriangle: Triangle = null
+  
-  // The point list
-  val points = init
   // The triangle mesh
   val mesh = new Mesh(initialTriangle)
-  
+ 
-  // Used to compute inital triangle
-  private val ALPHA = 0.3f
-  
   // Sweep points; build mesh
   sweep
   // Finalize triangulation
   finalization
   
-  // Initialize and sort point list
-  private def init: List[Point] = {
-    
-    var xmax, xmin = segments(0).p.x
-    var ymax, ymin = segments(0).p.y
-    val pts = new ArrayBuffer[Point]
-    
-    for(i <- 0 until segments.size) { 
-      
-      val p = segments(i).p
-      val q = segments(i).q
-      
-      if(p.x > xmax) xmax = p.x
-      if(q.x > xmax) xmax = q.x
-      if(p.x < xmin) xmin = p.x
-      if(q.x < xmin) xmin = q.x
-      
-      if(p.y > ymax) ymax = p.x
-      if(q.y > ymax) ymax = q.x
-      if(p.y < ymin) ymin = p.x
-      if(q.y < ymin) ymin = q.x
-      
-      pts += shearTransform(p)
-      pts += shearTransform(q)
-    }
-    
-    var points: List[Point] = null
-    
-    if(pts.size < 10) 
-     // Insertion sort is one of the fastest algorithms for sorting arrays containing 
-     // fewer than ten elements, or for lists that are already mostly sorted.
-     points = Util.insertSort((p1: Point, p2: Point) => p1 > p2)(pts).toList
-    else
-     // Merge sort: O(n log n)
-     points = Util.msort((p1: Point, p2: Point) => p1 > p2)(pts.toList)
-     
-    val deltaX = ALPHA * (xmax - xmin)
-    val deltaY = ALPHA * (ymax - ymin)
-    
-    val p1 = Point(xmin - deltaX, ymin - deltaY)
-    val p2 = Point(xmax - deltaX, ymin - deltaY)
-    
-    initialTriangle = new Triangle(Array(p2, points(0), p1), null)
-    points
-  }
- 
   // Implement sweep-line paradigm
   private def sweep {
   }  
@@ -110,8 +114,5 @@ class CDT(segments: ArrayBuffer[Segment]) {
   private def finalization {
   }
   
-  // Prevents any two distinct endpoints from lying on a common horizontal line, and avoiding
+  def triangles = mesh.map
-  // the degenerate case. See Mark de Berg et al, Chapter 6.3
-  //val SHEER = 0.0001f
-  def shearTransform(point: Point) = Point(point.x, point.y + point.x * 0.0001f)
 }

src/org/poly2tri/cdt/Mesh.scala

@@ -32,7 +32,7 @@ package org.poly2tri.cdt
 
 import scala.collection.mutable.HashSet
 
-import shapes.Point
+import shapes.{Point, Triangle}
 
 class Mesh(initialTriangle: Triangle) {
 

src/org/poly2tri/shapes/Point.scala

@@ -30,18 +30,16 @@
  */
 package org.poly2tri.shapes
 
-object Event extends Enumeration {
-  val point, edge = Value
-}
-
 case class Point(val x: Float, val y: Float) {
   
   // Pointers to next and previous points in Monontone Mountain
   var next, prev: Point = null
   // The setment this point belongs to
   var segment: Segment = null
-  // Point type for CDT
+  // Edge event pointer for CDT
-  var eventType: Event.Value = _
+  var eEvent: Segment = null
+  // Point event pointer for CDT
+  var pEvent: Segment = null
   
   @inline def -(p: Point) = Point(x - p.x, y - p.y) 
   @inline def +(p: Point) = Point(x + p.x, y + p.y)

src/org/poly2tri/shapes/Segment.scala

@@ -34,10 +34,7 @@ import scala.collection.mutable.{ArrayBuffer}
 
 // Represents a simple polygon's edge
 class Segment(var p: Point, var q: Point) {
-
+ 
-  p.segment = this
-  q.segment = this
-  
   // Pointers used for building trapezoidal map
   var above, below: Trapezoid = null
   // Montone mountain points
@@ -53,27 +50,4 @@ class Segment(var p: Point, var q: Point) {
   // Determines if this segment lies below the given point
   def < (point: Point) = (Math.floor(point.y) > Math.floor(slope * point.x + b))
   
-  // Assign point type for CDT
-  if(p.y > q.y) 
-    pEdge
-  else if (p.y < q.y) 
-    pPoint
-  else 
-    if(p.x < q.x) 
-      pPoint
-    else if (p.x > q.x)
-      pEdge
-    else
-      throw new Exception("Invalid segment")
-  
-  private def pPoint {
-    p.eventType = Event.point
-    q.eventType = Event.edge
-  }
-  
-  private def pEdge {
-    p.eventType = Event.edge
-    q.eventType = Event.point
-  }
-
 }

src/org/poly2tri/shapes/Triangle.scala

@@ -30,8 +30,6 @@
  */
 package org.poly2tri.shapes
 
-import shapes.Point
-
 // Triangle-based data structures are know to have better performance than quad-edge structures
 // See: J. Shewchuk, "Triangle: Engineering a 2D Quality Mesh Generator and Delaunay Triangulator"
 //      "Triangulations in CGAL"