/// <summary>
/// Computes the total Euclidean Distance between two templates at a specified angle
/// </summary>
/// <param name="avgPoints"></param>
/// <param name="T"></param>
/// <param name="theta"></param>
/// <returns></returns>
private double EuclideanDistanceAtAngle(List <AveragePoint> avgPoints, DollarTemplateAverage T, double theta)
{
List <Point> points = GetPoints(avgPoints);
List <Point> newPoints = rotateBy(points, theta);
return(EuclideanDistance(newPoints, T.m_AveragePoints) / (double)points.Count);
}
/// <summary>
/// Find the optimal angle and compute the distance at this angle. Uses the Golden Section Search.
/// </summary>
/// <param name="points">Points trying to be matched to template</param>
/// <param name="T">Template being matched to</param>
/// <param name="thetaA">Initial lowest angle</param>
/// <param name="thetaB">Initial highest angle</param>
/// <param name="thetaDelta">Threshold below which to stop searching</param>
/// <returns>Distance at best angle</returns>
private double distanceAtBestAngle(List <AveragePoint> points, DollarTemplateAverage T, double thetaA, double thetaB, double thetaDelta, ref double theta)
{
double f1 = distanceAtAngle(points, T, thetaA);
double f2 = distanceAtAngle(points, T, thetaB);
while (Math.Abs(thetaB - thetaA) > thetaDelta)
{
if (f1 < f2)
{
thetaB = (1 - PHI) * thetaA + PHI * thetaB;
f2 = distanceAtAngle(points, T, thetaB);
}
else
{
thetaA = PHI * thetaA + (1 - PHI) * thetaB;
f1 = distanceAtAngle(points, T, thetaA);
}
}
if (f1 < f2)
{
theta = thetaB;
return(f1);
}
else
{
theta = thetaA;
return(f2);
}
}
public string Recognize(List <DollarTemplateAverage> templates)
{
double score = 0.0;
DollarTemplateAverage best = RecognizeSymbol(templates, ref score);
if (score < SCORE_THRESHOLD)
{
return("Unknown");
}
return(best.Name);
}
/// <summary>
/// Match this symbol to the best Template in templates.
/// </summary>
/// <param name="templates">Existing templates with which to match</param>
/// <param name="score">Score of best matching template</param>
public DollarTemplateAverage RecognizeSymbol(List <DollarTemplateAverage> templates, ref double score)
{
if (templates.Count == 0)
{
return(null);
}
DollarTemplateAverage Tbest = templates[0];
double bestD = double.MaxValue;
double bestTheta = 0.0;
double d = 0.0;
for (int i = 0; i < templates.Count; i++)
{
double theta = 0.0;
d = EuclideanDistanceAtBestAngle(m_AveragePoints, templates[i], -THETA_MAX, THETA_MAX, THETA_DELTA, ref theta);
//d = distanceAtBestAngle(m_AveragePoints, templates[i], -THETA_MAX, THETA_MAX, THETA_DELTA, ref theta);
if (d < bestD)
{
bestD = d;
bestTheta = theta;
Tbest = templates[i];
}
}
//double bestDistance = EuclideanDistanceAtAngle(m_AveragePoints, Tbest, bestTheta);
double bestDistance = distanceAtAngle(m_AveragePoints, Tbest, bestTheta);
bestDistance /= 10.0;
double score1 = 1 - bestD / (0.5 * Math.Sqrt(Math.Pow(SIZE, 2.0) * 2));
double score2 = Math.Exp(-bestDistance);
//Console.WriteLine("BestDistance = {0}, SDscore = {1} ||| EuclDistance = {2}, Escore = {3}", bestDistance, score2, bestD, score1);
score = Math.Max(score1, score2);
return(Tbest);
}
/// <summary>
/// Gets the result for the best matching "Average" template
/// </summary>
/// <param name="stroke">Stroke to be recognized</param>
/// <returns>Class name of the best match</returns>
public string RecognizeAverage(Substroke stroke)
{
DollarTemplateAverage unknown = new DollarTemplateAverage(stroke.PointsL);
return(unknown.Recognize(_averageTemplates));
}