public static double[][] SimplifyPolygon(double[][] points, double epsilon)
{
if (points[0].Length <= 2)
{
return(points);
}
return(SimplifyCurve.SimplifyBetween(points, epsilon, 0, points[0].Length - 1));
}
/// <summary>
/// Simplify the specified points using epsilon.
/// </summary>
/// <param name="points">Points.</param>
/// <param name="epsilon">Epsilon.</param>
/// <param name="first">First.</param>
/// <param name="last">Last.</param>
public static PointF2D[] SimplifyBetween(PointF2D[] points, double epsilon, int first, int last)
{
if (points == null)
{
throw new ArgumentNullException("points");
}
if (epsilon <= 0)
{
throw new ArgumentOutOfRangeException("epsilon");
}
if (first > last)
{
throw new ArgumentException(string.Format("first[{0}] must be smaller or equal than last[{1}]!",
first, last));
}
if (first + 1 != last)
{
// find point with the maximum distance.
double maxDistance = 0;
int foundIndex = -1;
// create the line between first-last.
LineF2D line = new LineF2D(points[first], points [last]);
for (int idx = first + 1; idx < last; idx++)
{
double distance = line.Distance(points[idx]);
if (distance > maxDistance)
{
// larger distance found.
maxDistance = distance;
foundIndex = idx;
}
}
if (foundIndex > 0 && maxDistance > epsilon) // a point was found and it is far enough.
{
PointF2D[] before = SimplifyCurve.SimplifyBetween(points, epsilon, first, foundIndex);
PointF2D[] after = SimplifyCurve.SimplifyBetween(points, epsilon, foundIndex, last);
// build result.
PointF2D[] result = new PointF2D[before.Length + after.Length - 1];
for (int idx = 0; idx < before.Length - 1; idx++)
{
result [idx] = before [idx];
}
for (int idx = 0; idx < after.Length; idx++)
{
result [idx + before.Length - 1] = after [idx];
}
return(result);
}
}
return(new PointF2D[] { points[first], points[last] });
}
public static PointF2D[] SimplifyBetween(PointF2D[] points, double epsilon, int first, int last)
{
if (points == null)
{
throw new ArgumentNullException("points");
}
if (epsilon <= 0.0)
{
throw new ArgumentOutOfRangeException("epsilon");
}
if (first > last)
{
throw new ArgumentException(string.Format("first[{0}] must be smaller or equal than last[{1}]!", new object[2]
{
(object)first,
(object)last
}));
}
if (first + 1 != last)
{
double num1 = 0.0;
int num2 = -1;
LineF2D lineF2D = new LineF2D(points[first], points[last]);
for (int index = first + 1; index < last; ++index)
{
double num3 = lineF2D.Distance(points[index]);
if (num3 > num1)
{
num1 = num3;
num2 = index;
}
}
if (num2 > 0 && num1 > epsilon)
{
PointF2D[] pointF2DArray1 = SimplifyCurve.SimplifyBetween(points, epsilon, first, num2);
PointF2D[] pointF2DArray2 = SimplifyCurve.SimplifyBetween(points, epsilon, num2, last);
PointF2D[] pointF2DArray3 = new PointF2D[pointF2DArray1.Length + pointF2DArray2.Length - 1];
for (int index = 0; index < pointF2DArray1.Length - 1; ++index)
{
pointF2DArray3[index] = pointF2DArray1[index];
}
for (int index = 0; index < pointF2DArray2.Length; ++index)
{
pointF2DArray3[index + pointF2DArray1.Length - 1] = pointF2DArray2[index];
}
return(pointF2DArray3);
}
}
return(new PointF2D[2]
{
points[first],
points[last]
});
}
public static double[][] SimplifyBetween(double[][] points, double epsilon, int first, int last)
{
if (points == null)
{
throw new ArgumentNullException("points");
}
if (points.Length != 2)
{
throw new ArgumentException();
}
if (epsilon < 0.0)
{
throw new ArgumentOutOfRangeException("epsilon");
}
if (first > last)
{
throw new ArgumentException(string.Format("first[{0}] must be smaller or equal than last[{1}]!", new object[2]
{
(object)first,
(object)last
}));
}
if (epsilon == 0.0)
{
return(points);
}
if (first == last)
{
return new double[2][]
{
new double[1]
{
points[0][first]
},
new double[1]
{
points[1][first]
}
}
}
;
if (points[0][first] == points[0][last] && points[1][first] == points[1][last])
{
double[][] numArray1 = SimplifyCurve.SimplifyBetween(points, epsilon, first, last - 1);
double[][] numArray2 = new double[2][]
{
new double[numArray1[0].Length + 1],
new double[numArray1[0].Length + 1]
};
for (int index = 0; index < numArray1[0].Length; ++index)
{
numArray2[0][index] = numArray1[0][index];
numArray2[1][index] = numArray1[1][index];
}
numArray2[0][numArray1[0].Length] = points[0][last];
numArray2[1][numArray1[0].Length] = points[1][last];
return(numArray2);
}
if (first + 1 != last)
{
double num1 = 0.0;
int num2 = -1;
LineF2D lineF2D = new LineF2D(new PointF2D(points[0][first], points[1][first]), new PointF2D(points[0][last], points[1][last]));
for (int index = first + 1; index < last; ++index)
{
double num3 = lineF2D.Distance(new PointF2D(points[0][index], points[1][index]));
if (num3 > num1)
{
num1 = num3;
num2 = index;
}
}
if (num2 > 0 && num1 > epsilon)
{
double[][] numArray1 = SimplifyCurve.SimplifyBetween(points, epsilon, first, num2);
double[][] numArray2 = SimplifyCurve.SimplifyBetween(points, epsilon, num2, last);
double[][] numArray3 = new double[2][]
{
new double[numArray1[0].Length + numArray2[0].Length - 1],
new double[numArray1[0].Length + numArray2[0].Length - 1]
};
for (int index = 0; index < numArray1[0].Length - 1; ++index)
{
numArray3[0][index] = numArray1[0][index];
numArray3[1][index] = numArray1[1][index];
}
for (int index = 0; index < numArray2[0].Length; ++index)
{
numArray3[0][index + numArray1[0].Length - 1] = numArray2[0][index];
numArray3[1][index + numArray1[0].Length - 1] = numArray2[1][index];
}
return(numArray3);
}
}
return(new double[2][]
{
new double[2]
{
points[0][first],
points[0][last]
},
new double[2]
{
points[1][first],
points[1][last]
}
});
}
public static PointF2D[] Simplify(PointF2D[] points, double epsilon)
{
return(SimplifyCurve.SimplifyBetween(points, epsilon, 0, points.Length - 1));
}
/// <summary>
/// Simplify the specified points using epsilon.
/// </summary>
/// <param name="points">Points.</param>
/// <param name="epsilon">Epsilon.</param>
/// <param name="first">First.</param>
/// <param name="last">Last.</param>
public static double[][] SimplifyBetween(double[][] points, double epsilon, int first, int last)
{
if (points == null)
{
throw new ArgumentNullException("points");
}
if (points.Length != 2)
{
throw new ArgumentException();
}
if (epsilon < 0)
{
throw new ArgumentOutOfRangeException("epsilon");
}
if (first > last)
{
throw new ArgumentException(string.Format("first[{0}] must be smaller or equal than last[{1}]!",
first, last));
}
if (epsilon == 0)
{ // no simplification is possible.
return(points);
}
if (first == last)
{ // first and last are equal, no simplification possible.
return(new double[][]
{ new double[] { points[0][first] }, new double[] { points[1][first] } });
}
double[][] result;
// check for identical first and last points.
if (points[0][first] == points[0][last] &&
points[1][first] == points[1][last])
{ // first and last point are indentical.
double[][] before = SimplifyCurve.SimplifyBetween(points, epsilon, first, last - 1);
// build result.
result = new double[2][];
result[0] = new double[before[0].Length + 1];
result[1] = new double[before[0].Length + 1];
for (int idx = 0; idx < before[0].Length; idx++)
{
result[0][idx] = before[0][idx];
result[1][idx] = before[1][idx];
}
result[0][before[0].Length] = points[0][last];
result[1][before[0].Length] = points[1][last];
return(result);
}
if (first + 1 != last)
{
// find point with the maximum distance.
double maxDistance = 0;
int foundIndex = -1;
// create the line between first-last.
LineF2D line = new LineF2D(new PointF2D(
points[0][first], points[1][first]),
new PointF2D(
points[0][last], points[1][last]));
for (int idx = first + 1; idx < last; idx++)
{
double distance = line.Distance(new PointF2D(
points[0][idx], points[1][idx]));
if (distance > maxDistance)
{
// larger distance found.
maxDistance = distance;
foundIndex = idx;
}
}
if (foundIndex > 0 && maxDistance > epsilon)
{ // a point was found and it is far enough.
double[][] before = SimplifyCurve.SimplifyBetween(points, epsilon, first, foundIndex);
double[][] after = SimplifyCurve.SimplifyBetween(points, epsilon, foundIndex, last);
// build result.
result = new double[2][];
result[0] = new double[before[0].Length + after[0].Length - 1];
result[1] = new double[before[0].Length + after[0].Length - 1];
for (int idx = 0; idx < before[0].Length - 1; idx++)
{
result[0][idx] = before[0][idx];
result[1][idx] = before[1][idx];
}
for (int idx = 0; idx < after[0].Length; idx++)
{
result[0][idx + before[0].Length - 1] = after[0][idx];
result[1][idx + before[0].Length - 1] = after[1][idx];
}
return(result);
}
}
result = new double[2][];
result[0] = new double[] { points[0][first], points[0][last] };
result[1] = new double[] { points[1][first], points[1][last] };
return(result);
}
