//returns vector one minus vector two
public static myCoord subtract(myCoord one, myCoord two)
{
myCoord toReturn = new myCoord();
toReturn.X = one.X - two.X;
toReturn.Y = one.Y - two.Y;
toReturn.Z = one.Z - two.Z;
return(toReturn);
}
private float fastDistanceFromPlane(myCoord point)
{
//source: http://mathworld.wolfram.com/Point-PlaneDistance.html
//get a vector that represents moving from the point to the top left of the screen
myCoord vectorFromPointToTopLeft = myCoord.subtract(point, KinectMainController.topLeft);
return(myCoord.dotProduct(normalisedPlanePerpendicular, vectorFromPointToTopLeft));
}
private float fastDistanceFromPlane(myCoord point)
{
//source: http://mathworld.wolfram.com/Point-PlaneDistance.html
//get a vector that represents moving from the point to the top left of the screen
myCoord vectorFromPointToTopLeft = myCoord.subtract(point, KinectMainController.topLeft);
return myCoord.dotProduct(normalisedPlanePerpendicular, vectorFromPointToTopLeft);
}
//returns the scalar multiple of a given vector, without altering the original
public static myCoord multByScalar(myCoord vector, float scalar)
{
myCoord toReturn = new myCoord();
toReturn.X = vector.X * scalar;
toReturn.Y = vector.Y * scalar;
toReturn.Z = vector.Z * scalar;
return(toReturn);
}
//returns the y coordinate of the point on the plane closest to this point
private float yCoordPerpFromPlane(myCoord point)
{
//source: http://mathworld.wolfram.com/Point-PlaneDistance.html
myCoord verticalEdgeDirection = myCoord.subtract(KinectMainController.topLeft, KinectMainController.bottomLeft);
myCoord vectorFromPointToTopLeft = myCoord.subtract(KinectMainController.topLeft, point);
return(myCoord.dotProduct(verticalEdgeDirection, vectorFromPointToTopLeft) / (float)Math.Pow(myCoord.norm(verticalEdgeDirection), 2));
}
private myCoord getCorner()
{
const float eps = 0.00006f; //epsilon value, dictates precision for the variance
myCoord sample = new myCoord(); //sample data we get after each time span
Queue <float> xQueue = new Queue <float>(10); //queues for the x, y, z values
Queue <float> yQueue = new Queue <float>(10); //we get data every 0.2 seconds, and stop when we detect that the
Queue <float> zQueue = new Queue <float>(10); //hand has stayed still for 2 seconds, hence analyse the last 10 values
System.DateTime t1 = System.DateTime.Now; //current time
System.TimeSpan span = new System.TimeSpan(0, 0, 0, 0, 200); //time span of 0.2 seconds between each sampling of the position
System.DateTime t3 = new System.DateTime(); //time at which we have to get the new sample
//fill the queues with the initial 10 samples
while (xQueue.Count < 10)
{
t3 = t1.Add(span); //when we get the next round of data
xQueue.Enqueue(xCoord); yQueue.Enqueue(yCoord); zQueue.Enqueue(zCoord); //get current round of data
//wait until next round
while (t1 < t3)
{
t1 = System.DateTime.Now;
}
}
//compute the initial variances of position data
float xVar = Variance(xQueue);
float yVar = Variance(yQueue);
float zVar = Variance(zQueue);
//while the variances are to high, meaning the hand isn't still, keep tracking the hand
while ((xVar > eps | yVar > eps | zVar > eps) || (xQueue.Average() == 0 && yQueue.Average() == 0 && zQueue.Average() == 0))
{
t3 = t1.Add(span); //when we get next round of data
xQueue.Dequeue(); yQueue.Dequeue(); zQueue.Dequeue(); //discard old data
xQueue.Enqueue(xCoord); yQueue.Enqueue(yCoord); zQueue.Enqueue(zCoord); //get current round
xVar = Variance(xQueue); yVar = Variance(yQueue); zVar = Variance(zQueue); //compute new variance
//wait until next round
while (t1 < t3)
{
t1 = System.DateTime.Now;
}
}
//when the hand hasn't moved return it's position, averaging over the last 10 positions
sample.X = xQueue.Average();
sample.Y = yQueue.Average();
sample.Z = zQueue.Average();
Console.Beep(); //give an audio confirmation to the user
return(sample);
}
//returns the cross product of vector one and vector two
public static myCoord crossProduct(myCoord one, myCoord two)
{
//computed by definition of cross product
myCoord answer = new myCoord();
answer.X = one.Y * two.Z - one.Z * two.Y;
answer.Y = one.Z * two.X - one.X * two.Z;
answer.Z = one.X * two.Y - one.Y - two.X;
return(answer);
}
//returns the distance of 'point' from the plane defined by the points planeOne, planeTwo, and planeThree. May be negative.
public static float distanceFromPlane(myCoord planeOne, myCoord planeTwo, myCoord planeThree, myCoord point)
{
myCoord vectorFromPointToPlaneOne = subtract(point, planeOne);
//compute plane perpendicular
myCoord normalisedPlanePerpendicular = crossProduct(subtract(planeTwo, planeOne), subtract(planeThree, planeOne));
//normalise it
normalisedPlanePerpendicular = multByScalar(normalisedPlanePerpendicular, 1 / norm(normalisedPlanePerpendicular));
//dot it with the vector from planeOne to point
return(myCoord.dotProduct(normalisedPlanePerpendicular, vectorFromPointToPlaneOne));
}
public void justCalibrated()
{
//to get the normalised plane perpendicular (for caching):
//source: http://mathworld.wolfram.com/Point-PlaneDistance.html
//get a vector parallel to the top and side edges of the screen
myCoord horizontalEdgeDirection = myCoord.subtract(KinectMainController.topRight, KinectMainController.topLeft);
myCoord verticalEdgeDirection = myCoord.subtract(KinectMainController.bottomLeft, KinectMainController.topLeft);
//get a vector perpendicular to the plane (not yet normalised)
normalisedPlanePerpendicular = myCoord.crossProduct(horizontalEdgeDirection, verticalEdgeDirection);
//normalise it - will fail if two points on the screen are in the same place (makes the planePerpendicular 0) - TODO I have NOT guarded against this
normalisedPlanePerpendicular = myCoord.multByScalar(normalisedPlanePerpendicular, 1 / myCoord.norm(normalisedPlanePerpendicular));
}
public void justCalibrated()
{
//to get the normalised plane perpendicular (for caching):
//source: http://mathworld.wolfram.com/Point-PlaneDistance.html
//get a vector parallel to the top and side edges of the screen
myCoord horizontalEdgeDirection = myCoord.subtract(KinectMainController.topRight, KinectMainController.topLeft);
myCoord verticalEdgeDirection = myCoord.subtract(KinectMainController.bottomLeft, KinectMainController.topLeft);
//get a vector perpendicular to the plane (not yet normalised)
normalisedPlanePerpendicular = myCoord.crossProduct(horizontalEdgeDirection, verticalEdgeDirection);
//normalise it - will fail if two points on the screen are in the same place (makes the planePerpendicular 0) - TODO I have NOT guarded against this
normalisedPlanePerpendicular = myCoord.multByScalar(normalisedPlanePerpendicular, 1 / myCoord.norm(normalisedPlanePerpendicular));
}
//returns one 'dotproduct' two.
public static float dotProduct(myCoord one, myCoord two)
{
return one.X * two.X + one.Y * two.Y + one.Z * two.Z;
}
//returns one 'dotproduct' two.
public static float dotProduct(myCoord one, myCoord two)
{
return(one.X * two.X + one.Y * two.Y + one.Z * two.Z);
}
//returns the euclidean norm of a 3d vector
public static float norm(myCoord vector)
{
return((float)Math.Sqrt(vector.X * vector.X + vector.Y * vector.Y + vector.Z * vector.Z));
}
void _sensor_AllFramesReady(object sender, AllFramesReadyEventArgs e)
{
if (!KinectMainController.isCalibrated || !KinectMainController.doMouseInput)
{
return;
}
Skeleton first = Kinetique.Calibrator.GetFirstSkeleton(e);
if (first == null)
{
return;
}
var rightHand = first.Joints[JointType.HandRight];
if (rightHand.TrackingState != JointTrackingState.Tracked)
{
//Don't have a good read on the joints so we cannot process gestures
return;
}
myCoord handLeft = new myCoord();
handLeft.X = first.Joints[JointType.HandLeft].Position.X;
handLeft.Y = first.Joints[JointType.HandLeft].Position.Y;
handLeft.Z = first.Joints[JointType.HandLeft].Position.Z;
myCoord handRight = new myCoord();
handRight.X = first.Joints[JointType.HandRight].Position.X;
handRight.Y = first.Joints[JointType.HandRight].Position.Y;
handRight.Z = first.Joints[JointType.HandRight].Position.Z;
//distance in metres from screen
float handRightDistance = Math.Abs(fastDistanceFromPlane(handRight));
//scalars between 0 and 1 - 0 is the left, and the top
float handRightX = xCoordPerpFromPlane(handRight);
float handRightY = yCoordPerpFromPlane(handRight);
outputToListener(handRightX, handRightY, handRightDistance, 0);
////distance in metres from screen
float handLeftDistance = Math.Abs(fastDistanceFromPlane(handLeft));
//scalars between 0 and 1 - 0 is the left, and the top
float handLeftX = xCoordPerpFromPlane(handLeft);
float handLeftY = yCoordPerpFromPlane(handLeft);
if (handLeftDistance < metresFromPlaneToDraw && !handDown[1])
{
handDown[1] = true;
if (!handDown[0])
{
listener.MouseDown(mouseX, mouseY, 1);
listener.MouseUp(mouseX, mouseY, 1);
}
}
else if (handLeftDistance > metresFromPlaneToDraw && handDown[1])
{
handDown[1] = false;
}
if (handRightDistance > 1 && handLeftDistance > 1)
{
KinectMainController.doGestureRecognition = false;
}
else
{
KinectMainController.doGestureRecognition = true;
}
}
//returns the y coordinate of the point on the plane closest to this point
private float yCoordPerpFromPlane(myCoord point)
{
//source: http://mathworld.wolfram.com/Point-PlaneDistance.html
myCoord verticalEdgeDirection = myCoord.subtract(KinectMainController.topLeft, KinectMainController.bottomLeft);
myCoord vectorFromPointToTopLeft = myCoord.subtract(KinectMainController.topLeft, point);
return myCoord.dotProduct(verticalEdgeDirection, vectorFromPointToTopLeft) / (float) Math.Pow(myCoord.norm(verticalEdgeDirection), 2);
}
void _sensor_AllFramesReady(object sender, AllFramesReadyEventArgs e)
{
if (!KinectMainController.isCalibrated || !KinectMainController.doMouseInput)
return;
Skeleton first = Kinetique.Calibrator.GetFirstSkeleton(e);
if (first == null)
{
return;
}
var rightHand = first.Joints[JointType.HandRight];
if (rightHand.TrackingState != JointTrackingState.Tracked)
{
//Don't have a good read on the joints so we cannot process gestures
return;
}
myCoord handLeft = new myCoord();
handLeft.X = first.Joints[JointType.HandLeft].Position.X;
handLeft.Y = first.Joints[JointType.HandLeft].Position.Y;
handLeft.Z = first.Joints[JointType.HandLeft].Position.Z;
myCoord handRight = new myCoord();
handRight.X = first.Joints[JointType.HandRight].Position.X;
handRight.Y = first.Joints[JointType.HandRight].Position.Y;
handRight.Z = first.Joints[JointType.HandRight].Position.Z;
//distance in metres from screen
float handRightDistance = Math.Abs(fastDistanceFromPlane(handRight));
//scalars between 0 and 1 - 0 is the left, and the top
float handRightX = xCoordPerpFromPlane(handRight);
float handRightY = yCoordPerpFromPlane(handRight);
outputToListener(handRightX, handRightY, handRightDistance, 0);
////distance in metres from screen
float handLeftDistance = Math.Abs(fastDistanceFromPlane(handLeft));
//scalars between 0 and 1 - 0 is the left, and the top
float handLeftX = xCoordPerpFromPlane(handLeft);
float handLeftY = yCoordPerpFromPlane(handLeft);
if (handLeftDistance < metresFromPlaneToDraw && !handDown[1])
{
handDown[1] = true;
if (!handDown[0])
{
listener.MouseDown(mouseX, mouseY, 1);
listener.MouseUp(mouseX, mouseY, 1);
}
}
else if (handLeftDistance > metresFromPlaneToDraw && handDown[1])
handDown[1] = false;
if (handRightDistance > 1 && handLeftDistance > 1)
KinectMainController.doGestureRecognition = false;
else KinectMainController.doGestureRecognition = true;
}
//returns vector one minus vector two
public static myCoord subtract(myCoord one, myCoord two)
{
myCoord toReturn = new myCoord();
toReturn.X = one.X - two.X;
toReturn.Y = one.Y - two.Y;
toReturn.Z = one.Z - two.Z;
return toReturn;
}
//returns the euclidean norm of a 3d vector
public static float norm(myCoord vector)
{
return (float)Math.Sqrt(vector.X * vector.X + vector.Y * vector.Y + vector.Z * vector.Z);
}
//returns the scalar multiple of a given vector, without altering the original
public static myCoord multByScalar(myCoord vector, float scalar)
{
myCoord toReturn = new myCoord();
toReturn.X = vector.X * scalar;
toReturn.Y = vector.Y * scalar;
toReturn.Z = vector.Z * scalar;
return toReturn;
}
//returns the distance of 'point' from the plane defined by the points planeOne, planeTwo, and planeThree. May be negative.
public static float distanceFromPlane(myCoord planeOne, myCoord planeTwo, myCoord planeThree, myCoord point)
{
myCoord vectorFromPointToPlaneOne = subtract(point, planeOne);
//compute plane perpendicular
myCoord normalisedPlanePerpendicular = crossProduct(subtract(planeTwo, planeOne), subtract(planeThree, planeOne));
//normalise it
normalisedPlanePerpendicular = multByScalar(normalisedPlanePerpendicular, 1 / norm(normalisedPlanePerpendicular));
//dot it with the vector from planeOne to point
return myCoord.dotProduct(normalisedPlanePerpendicular, vectorFromPointToPlaneOne);
}
//returns the cross product of vector one and vector two
public static myCoord crossProduct(myCoord one, myCoord two)
{
//computed by definition of cross product
myCoord answer = new myCoord();
answer.X = one.Y * two.Z - one.Z * two.Y;
answer.Y = one.Z * two.X - one.X * two.Z;
answer.Z = one.X * two.Y - one.Y - two.X;
return answer;
}
private myCoord getCorner()
{
const float eps = 0.00006f; //epsilon value, dictates precision for the variance
myCoord sample = new myCoord(); //sample data we get after each time span
Queue<float> xQueue = new Queue<float>(10); //queues for the x, y, z values
Queue<float> yQueue = new Queue<float>(10); //we get data every 0.2 seconds, and stop when we detect that the
Queue<float> zQueue = new Queue<float>(10); //hand has stayed still for 2 seconds, hence analyse the last 10 values
System.DateTime t1 = System.DateTime.Now; //current time
System.TimeSpan span = new System.TimeSpan(0, 0, 0, 0, 200); //time span of 0.2 seconds between each sampling of the position
System.DateTime t3 = new System.DateTime(); //time at which we have to get the new sample
//fill the queues with the initial 10 samples
while (xQueue.Count < 10)
{
t3 = t1.Add(span); //when we get the next round of data
xQueue.Enqueue(xCoord); yQueue.Enqueue(yCoord); zQueue.Enqueue(zCoord); //get current round of data
//wait until next round
while (t1 < t3)
{
t1 = System.DateTime.Now;
}
}
//compute the initial variances of position data
float xVar = Variance(xQueue);
float yVar = Variance(yQueue);
float zVar = Variance(zQueue);
//while the variances are to high, meaning the hand isn't still, keep tracking the hand
while ((xVar > eps | yVar > eps | zVar > eps) || (xQueue.Average() == 0 && yQueue.Average() == 0 && zQueue.Average() == 0))
{
t3 = t1.Add(span); //when we get next round of data
xQueue.Dequeue(); yQueue.Dequeue(); zQueue.Dequeue(); //discard old data
xQueue.Enqueue(xCoord); yQueue.Enqueue(yCoord); zQueue.Enqueue(zCoord); //get current round
xVar = Variance(xQueue); yVar = Variance(yQueue); zVar = Variance(zQueue); //compute new variance
//wait until next round
while (t1 < t3)
{
t1 = System.DateTime.Now;
}
}
//when the hand hasn't moved return it's position, averaging over the last 10 positions
sample.X = xQueue.Average();
sample.Y = yQueue.Average();
sample.Z = zQueue.Average();
Console.Beep(); //give an audio confirmation to the user
return sample;
}