/// <summary>
/// Scale the multi stroke so that it can fit into predefined bounding box
/// </summary>
public void Scale()
{
float minx = float.MaxValue, miny = float.MaxValue, maxx = float.MinValue, maxy = float.MinValue;
for (int i = 0; i < this.Points.Length; i++)
{
if (minx > this.Points[i].Point.x)
{
minx = this.Points[i].Point.x;
}
if (miny > this.Points[i].Point.y)
{
miny = this.Points[i].Point.y;
}
if (maxx < this.Points[i].Point.x)
{
maxx = this.Points[i].Point.x;
}
if (maxy < this.Points[i].Point.y)
{
maxy = this.Points[i].Point.y;
}
}
MultiStrokePoint[] scaledPoints = new MultiStrokePoint[this.Points.Length];
float scale = Math.Max(maxx - minx, maxy - miny);
for (int i = 0; i < this.Points.Length; i++)
{
scaledPoints[i] = new MultiStrokePoint((this.Points[i].Point.x - minx) / scale, (this.Points[i].Point.y - miny) / scale, this.Points[i].StrokeID);
}
this.Points = scaledPoints;
}
/// <summary>
/// Resample the point list so that the list has NUMBER_OF_POINTS number of points
/// and points are equidistant to each other.
///
/// First calculate the length of the path. Divided it by (numberOfPoints - 1)
/// to find the increment. Step through the path, and if the distance covered is
/// equal to or greater than the increment add a new point to the list by lineer
/// interpolation.
/// </summary>
public void Resample()
{
MultiStrokePoint[] resampledPoints = new MultiStrokePoint[NUMBER_OF_POINTS];
resampledPoints[0] = new MultiStrokePoint(this.Points[0].Point, this.Points[0].StrokeID);
int n = 1;
float increment = GetPathLength() / (NUMBER_OF_POINTS - 1);
float distanceCovered = 0;
for (int i = 1; i < this.Points.Length; i++)
{
if (this.Points[i].StrokeID == this.Points[i - 1].StrokeID)
{
float distance = Vector2.Distance(this.Points[i - 1].Point, this.Points[i].Point);
if (distanceCovered + distance >= increment)
{
MultiStrokePoint firstPoint = this.Points[i - 1];
while (distanceCovered + distance >= increment)
{
float t = Mathf.Min(Mathf.Max((increment - distanceCovered) / distance, 0.0f), 1.0f);
if (float.IsNaN(t))
{
t = 0.5f;
}
resampledPoints[n++] = new MultiStrokePoint(
(1.0f - t) * firstPoint.Point.x + t * this.Points[i].Point.x,
(1.0f - t) * firstPoint.Point.y + t * this.Points[i].Point.y,
this.Points[i].StrokeID
);
distance = distanceCovered + distance - increment;
distanceCovered = 0;
firstPoint = resampledPoints[n - 1];
}
distanceCovered = distance;
}
else
{
distanceCovered += distance;
}
}
}
if (n == NUMBER_OF_POINTS - 1)
{
resampledPoints[n++] = new MultiStrokePoint(
this.Points[this.Points.Length - 1].Point.x,
this.Points[this.Points.Length - 1].Point.y,
this.Points[this.Points.Length - 1].StrokeID
);
}
this.Points = resampledPoints;
}
public MultiStroke(MultiStrokePoint[] points, string name = "")
{
this.Name = name;
this.Points = points;
this.Scale();
this.TranslateToCenter();
this.Resample();
}
/// <summary>
/// Move the multi stroke to the center
/// </summary>
/// <param name="point">Points to move</param>
/// <returns>List of moved points</returns>
public void TranslateToCenter()
{
Vector2 p = this.GetCenter();
MultiStrokePoint[] translatedPoints = new MultiStrokePoint[this.Points.Length];
for (int i = 0; i < this.Points.Length; i++)
{
translatedPoints[i] = new MultiStrokePoint(this.Points[i].Point.x - p.x, this.Points[i].Point.y - p.y, this.Points[i].StrokeID);
}
this.Points = translatedPoints;
}
private static float GreedyCloudMatch(MultiStrokePoint[] points1, MultiStrokePoint[] points2)
{
float e = 0.5f;
int step = Mathf.FloorToInt(Mathf.Pow(points1.Length, 1.0f - e));
float minDistance = float.MaxValue;
for (int i = 0; i < points1.Length; i += step) {
float distance1 = CloudDistance(points1, points2, i);
float distance2 = CloudDistance(points2, points1, i);
minDistance = Mathf.Min(minDistance, Mathf.Min(distance1, distance2));
}
return minDistance;
}
private static float CloudDistance(MultiStrokePoint[] points1, MultiStrokePoint[] points2, int startIndex)
{
bool[] matched = new bool[points1.Length];
Array.Clear(matched, 0, points1.Length);
float sum = 0;
int i = startIndex;
do {
int index = -1;
float minDistance = float.MaxValue;
for (int j = 0; j < points1.Length; j++) {
if (!matched[j]) {
float distance = Vector2.Distance(points1[i].Point, points2[j].Point);
if (distance < minDistance) {
minDistance = distance;
index = j;
}
}
}
matched[index] = true;
float weight = 1.0f - ((i - startIndex + points1.Length) % points1.Length) / (1.0f * points1.Length);
sum += weight * minDistance;
i = (i + 1) % points1.Length;
} while (i != startIndex);
return sum;
}
/// <summary>
/// Move the multi stroke to the center
/// </summary>
/// <param name="point">Points to move</param>
/// <returns>List of moved points</returns>
public void TranslateToCenter()
{
Vector2 p = this.GetCenter();
MultiStrokePoint[] translatedPoints = new MultiStrokePoint[this.Points.Length];
for (int i = 0; i < this.Points.Length; i++) {
translatedPoints[i] = new MultiStrokePoint(this.Points[i].Point.x - p.x, this.Points[i].Point.y - p.y, this.Points[i].StrokeID);
}
this.Points = translatedPoints;
}
/// <summary>
/// Scale the multi stroke so that it can fit into predefined bounding box
/// </summary>
public void Scale()
{
float minx = float.MaxValue, miny = float.MaxValue, maxx = float.MinValue, maxy = float.MinValue;
for (int i = 0; i < this.Points.Length; i++) {
if (minx > this.Points[i].Point.x) minx = this.Points[i].Point.x;
if (miny > this.Points[i].Point.y) miny = this.Points[i].Point.y;
if (maxx < this.Points[i].Point.x) maxx = this.Points[i].Point.x;
if (maxy < this.Points[i].Point.y) maxy = this.Points[i].Point.y;
}
MultiStrokePoint[] scaledPoints = new MultiStrokePoint[this.Points.Length];
float scale = Math.Max(maxx - minx, maxy - miny);
for (int i = 0; i < this.Points.Length; i++) {
scaledPoints[i] = new MultiStrokePoint((this.Points[i].Point.x - minx) / scale, (this.Points[i].Point.y - miny) / scale, this.Points[i].StrokeID);
}
this.Points = scaledPoints;
}
/// <summary>
/// Resample the point list so that the list has NUMBER_OF_POINTS number of points
/// and points are equidistant to each other.
///
/// First calculate the length of the path. Divided it by (numberOfPoints - 1)
/// to find the increment. Step through the path, and if the distance covered is
/// equal to or greater than the increment add a new point to the list by lineer
/// interpolation.
/// </summary>
public void Resample()
{
MultiStrokePoint[] resampledPoints = new MultiStrokePoint[NUMBER_OF_POINTS];
resampledPoints[0] = new MultiStrokePoint(this.Points[0].Point, this.Points[0].StrokeID);
int n = 1;
float increment = GetPathLength() / (NUMBER_OF_POINTS - 1);
float distanceCovered = 0;
for (int i = 1; i < this.Points.Length; i++) {
if (this.Points[i].StrokeID == this.Points[i - 1].StrokeID) {
float distance = Vector2.Distance(this.Points[i - 1].Point, this.Points[i].Point);
if (distanceCovered + distance >= increment) {
MultiStrokePoint firstPoint = this.Points[i - 1];
while (distanceCovered + distance >= increment) {
float t = Mathf.Min(Mathf.Max((increment - distanceCovered) / distance, 0.0f), 1.0f);
if (float.IsNaN(t)) t = 0.5f;
resampledPoints[n++] = new MultiStrokePoint(
(1.0f - t) * firstPoint.Point.x + t * this.Points[i].Point.x,
(1.0f - t) * firstPoint.Point.y + t * this.Points[i].Point.y,
this.Points[i].StrokeID
);
distance = distanceCovered + distance - increment;
distanceCovered = 0;
firstPoint = resampledPoints[n - 1];
}
distanceCovered = distance;
} else distanceCovered += distance;
}
}
if (n == NUMBER_OF_POINTS - 1) {
resampledPoints[n++] = new MultiStrokePoint(
this.Points[this.Points.Length - 1].Point.x,
this.Points[this.Points.Length - 1].Point.y,
this.Points[this.Points.Length - 1].StrokeID
);
}
this.Points = resampledPoints;
}
