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+/************************************************************************************
+
+Filename : OVR_SensorFusion.cpp
+Content : Methods that determine head orientation from sensor data over time
+Created : October 9, 2012
+Authors : Michael Antonov, Steve LaValle
+
+Copyright : Copyright 2012 Oculus VR, Inc. All Rights reserved.
+
+Use of this software is subject to the terms of the Oculus license
+agreement provided at the time of installation or download, or which
+otherwise accompanies this software in either electronic or hard copy form.
+
+*************************************************************************************/
+
+#include "OVR_SensorFusion.h"
+#include "Kernel/OVR_Log.h"
+#include "Kernel/OVR_System.h"
+
+namespace OVR {
+
+//-------------------------------------------------------------------------------------
+// ***** Sensor Fusion
+
+SensorFusion::SensorFusion(SensorDevice* sensor)
+ : Handler(getThis()), pDelegate(0),
+ Gain(0.05f), YawMult(1), EnableGravity(true), Stage(0), DeltaT(0.001f),
+ EnablePrediction(false), PredictionDT(0.03f),
+ FRawMag(10), FAccW(20), FAngV(20),
+ TiltCondCount(0), TiltErrorAngle(0),
+ TiltErrorAxis(0,1,0),
+ MagCondCount(0), MagReady(false), MagCalibrated(false), MagReferenced(false),
+ MagRefQ(0, 0, 0, 1), MagRefM(0), MagRefYaw(0), YawErrorAngle(0), MagRefDistance(0.15f),
+ YawErrorCount(0), YawCorrectionActivated(false), YawCorrectionInProgress(false),
+ EnableYawCorrection(false)
+{
+ if (sensor)
+ AttachToSensor(sensor);
+ MagCalibrationMatrix.SetIdentity();
+}
+
+SensorFusion::~SensorFusion()
+{
+}
+
+
+bool SensorFusion::AttachToSensor(SensorDevice* sensor)
+{
+
+ if (sensor != NULL)
+ {
+ MessageHandler* pCurrentHandler = sensor->GetMessageHandler();
+
+ if (pCurrentHandler == &Handler)
+ {
+ Reset();
+ return true;
+ }
+
+ if (pCurrentHandler != NULL)
+ {
+ OVR_DEBUG_LOG(
+ ("SensorFusion::AttachToSensor failed - sensor %p already has handler", sensor));
+ return false;
+ }
+ }
+
+ if (Handler.IsHandlerInstalled())
+ {
+ Handler.RemoveHandlerFromDevices();
+ }
+
+ if (sensor != NULL)
+ {
+ sensor->SetMessageHandler(&Handler);
+ }
+
+ Reset();
+ return true;
+}
+
+
+
+
+void SensorFusion::handleMessage(const MessageBodyFrame& msg)
+{
+ if (msg.Type != Message_BodyFrame)
+ return;
+
+ // Put the sensor readings into convenient local variables
+ Vector3f angVel = msg.RotationRate;
+ Vector3f rawAccel = msg.Acceleration;
+ Vector3f mag = msg.MagneticField;
+
+ // Set variables accessible through the class API
+ DeltaT = msg.TimeDelta;
+ AngV = msg.RotationRate;
+ AngV.y *= YawMult; // Warning: If YawMult != 1, then AngV is not true angular velocity
+ A = rawAccel;
+
+ // Allow external access to uncalibrated magnetometer values
+ RawMag = mag;
+
+ // Apply the calibration parameters to raw mag
+ if (HasMagCalibration())
+ {
+ mag.x += MagCalibrationMatrix.M[0][3];
+ mag.y += MagCalibrationMatrix.M[1][3];
+ mag.z += MagCalibrationMatrix.M[2][3];
+ }
+
+ // Provide external access to calibrated mag values
+ // (if the mag is not calibrated, then the raw value is returned)
+ CalMag = mag;
+
+ float angVelLength = angVel.Length();
+ float accLength = rawAccel.Length();
+
+
+ // Acceleration in the world frame (Q is current HMD orientation)
+ Vector3f accWorld = Q.Rotate(rawAccel);
+
+ // Keep track of time
+ Stage++;
+ float currentTime = Stage * DeltaT; // Assumes uniform time spacing
+
+ // Insert current sensor data into filter history
+ FRawMag.AddElement(RawMag);
+ FAccW.AddElement(accWorld);
+ FAngV.AddElement(angVel);
+
+ // Update orientation Q based on gyro outputs. This technique is
+ // based on direct properties of the angular velocity vector:
+ // Its direction is the current rotation axis, and its magnitude
+ // is the rotation rate (rad/sec) about that axis. Our sensor
+ // sampling rate is so fast that we need not worry about integral
+ // approximation error (not yet, anyway).
+ if (angVelLength > 0.0f)
+ {
+ Vector3f rotAxis = angVel / angVelLength;
+ float halfRotAngle = angVelLength * DeltaT * 0.5f;
+ float sinHRA = sin(halfRotAngle);
+ Quatf deltaQ(rotAxis.x*sinHRA, rotAxis.y*sinHRA, rotAxis.z*sinHRA, cos(halfRotAngle));
+
+ Q = Q * deltaQ;
+ }
+
+ // The quaternion magnitude may slowly drift due to numerical error,
+ // so it is periodically normalized.
+ if (Stage % 5000 == 0)
+ Q.Normalize();
+
+ // Maintain the uncorrected orientation for later use by predictive filtering
+ QUncorrected = Q;
+
+ // Perform tilt correction using the accelerometer data. This enables
+ // drift errors in pitch and roll to be corrected. Note that yaw cannot be corrected
+ // because the rotation axis is parallel to the gravity vector.
+ if (EnableGravity)
+ {
+ // Correcting for tilt error by using accelerometer data
+ const float gravityEpsilon = 0.4f;
+ const float angVelEpsilon = 0.1f; // Relatively slow rotation
+ const int tiltPeriod = 50; // Req'd time steps of stability
+ const float maxTiltError = 0.05f;
+ const float minTiltError = 0.01f;
+
+ // This condition estimates whether the only measured acceleration is due to gravity
+ // (the Rift is not linearly accelerating). It is often wrong, but tends to average
+ // out well over time.
+ if ((fabs(accLength - 9.81f) < gravityEpsilon) &&
+ (angVelLength < angVelEpsilon))
+ TiltCondCount++;
+ else
+ TiltCondCount = 0;
+
+ // After stable measurements have been taken over a sufficiently long period,
+ // estimate the amount of tilt error and calculate the tilt axis for later correction.
+ if (TiltCondCount >= tiltPeriod)
+ { // Update TiltErrorEstimate
+ TiltCondCount = 0;
+ // Use an average value to reduce noice (could alternatively use an LPF)
+ Vector3f accWMean = FAccW.Mean();
+ // Project the acceleration vector into the XZ plane
+ Vector3f xzAcc = Vector3f(accWMean.x, 0.0f, accWMean.z);
+ // The unit normal of xzAcc will be the rotation axis for tilt correction
+ Vector3f tiltAxis = Vector3f(xzAcc.z, 0.0f, -xzAcc.x).Normalized();
+ Vector3f yUp = Vector3f(0.0f, 1.0f, 0.0f);
+ // This is the amount of rotation
+ float tiltAngle = yUp.Angle(accWMean);
+ // Record values if the tilt error is intolerable
+ if (tiltAngle > maxTiltError)
+ {
+ TiltErrorAngle = tiltAngle;
+ TiltErrorAxis = tiltAxis;
+ }
+ }
+
+ // This part performs the actual tilt correction as needed
+ if (TiltErrorAngle > minTiltError)
+ {
+ if ((TiltErrorAngle > 0.4f)&&(Stage < 8000))
+ { // Tilt completely to correct orientation
+ Q = Quatf(TiltErrorAxis, -TiltErrorAngle) * Q;
+ TiltErrorAngle = 0.0f;
+ }
+ else
+ {
+ //LogText("Performing tilt correction - Angle: %f Axis: %f %f %f\n",
+ // TiltErrorAngle,TiltErrorAxis.x,TiltErrorAxis.y,TiltErrorAxis.z);
+ //float deltaTiltAngle = -Gain*TiltErrorAngle*0.005f;
+ // This uses agressive correction steps while your head is moving fast
+ float deltaTiltAngle = -Gain*TiltErrorAngle*0.005f*(5.0f*angVelLength+1.0f);
+ // Incrementally "untilt" by a small step size
+ Q = Quatf(TiltErrorAxis, deltaTiltAngle) * Q;
+ TiltErrorAngle += deltaTiltAngle;
+ }
+ }
+ }
+
+ // Yaw drift correction based on magnetometer data. This corrects the part of the drift
+ // that the accelerometer cannot handle.
+ // This will only work if the magnetometer has been enabled, calibrated, and a reference
+ // point has been set.
+ const float maxAngVelLength = 3.0f;
+ const int magWindow = 5;
+ const float yawErrorMax = 0.1f;
+ const float yawErrorMin = 0.01f;
+ const int yawErrorCountLimit = 50;
+ const float yawRotationStep = 0.00002f;
+
+ if (angVelLength < maxAngVelLength)
+ MagCondCount++;
+ else
+ MagCondCount = 0;
+
+ YawCorrectionInProgress = false;
+ if (EnableYawCorrection && MagReady && (currentTime > 2.0f) && (MagCondCount >= magWindow) &&
+ (Q.Distance(MagRefQ) < MagRefDistance))
+ {
+ // Use rotational invariance to bring reference mag value into global frame
+ Vector3f grefmag = MagRefQ.Rotate(GetCalibratedMagValue(MagRefM));
+ // Bring current (averaged) mag reading into global frame
+ Vector3f gmag = Q.Rotate(GetCalibratedMagValue(FRawMag.Mean()));
+ // Calculate the reference yaw in the global frame
+ float gryaw = atan2(grefmag.x,grefmag.z);
+ // Calculate the current yaw in the global frame
+ float gyaw = atan2(gmag.x,gmag.z);
+ //LogText("Yaw error estimate: %f\n",YawErrorAngle);
+ // The difference between reference and current yaws is the perceived error
+ YawErrorAngle = AngleDifference(gyaw,gryaw);
+ // If the perceived error is large, keep count
+ if ((fabs(YawErrorAngle) > yawErrorMax) && (!YawCorrectionActivated))
+ YawErrorCount++;
+ // After enough iterations of high perceived error, start the correction process
+ if (YawErrorCount > yawErrorCountLimit)
+ YawCorrectionActivated = true;
+ // If the perceived error becomes small, turn off the yaw correction
+ if ((fabs(YawErrorAngle) < yawErrorMin) && YawCorrectionActivated)
+ {
+ YawCorrectionActivated = false;
+ YawErrorCount = 0;
+ }
+ // Perform the actual yaw correction, due to previously detected, large yaw error
+ if (YawCorrectionActivated)
+ {
+ YawCorrectionInProgress = true;
+ int sign = (YawErrorAngle > 0.0f) ? 1 : -1;
+ // Incrementally "unyaw" by a small step size
+ Q = Quatf(Vector3f(0.0f,1.0f,0.0f), -yawRotationStep * sign) * Q;
+ }
+ }
+}
+
+
+ // This is a simple predictive filter based only on extrapolating the smoothed, current angular velocity.
+ // Note that both QP (the predicted future orientation) and Q (the current orientation) are both maintained.
+Quatf SensorFusion::GetPredictedOrientation()
+{
+ Lock::Locker lockScope(Handler.GetHandlerLock());
+ Quatf qP = QUncorrected;
+ if (EnablePrediction) {
+#if 1
+ Vector3f angVelF = FAngV.SavitzkyGolaySmooth8();
+ float angVelFL = angVelF.Length();
+
+ if (angVelFL > 0.001f)
+ {
+ Vector3f rotAxisP = angVelF / angVelFL;
+ float halfRotAngleP = angVelFL * PredictionDT * 0.5f;
+ float sinaHRAP = sin(halfRotAngleP);
+ Quatf deltaQP(rotAxisP.x*sinaHRAP, rotAxisP.y*sinaHRAP,
+ rotAxisP.z*sinaHRAP, cos(halfRotAngleP));
+ qP = QUncorrected * deltaQP;
+ }
+#else
+ Quatd qpd = Quatd(Q.x,Q.y,Q.z,Q.w);
+ int predictionStages = (int)(PredictionDT / DeltaT);
+ Vector3f aa = FAngV.SavitzkyGolayDerivative12();
+ Vector3d aad = Vector3d(aa.x,aa.y,aa.z);
+ Vector3f angVelF = FAngV.SavitzkyGolaySmooth8();
+ Vector3d avkd = Vector3d(angVelF.x,angVelF.y,angVelF.z);
+ for (int i = 0; i < predictionStages; i++)
+ {
+ double angVelLengthd = avkd.Length();
+ Vector3d rotAxisd = avkd / angVelLengthd;
+ double halfRotAngled = angVelLengthd * DeltaT * 0.5;
+ double sinHRAd = sin(halfRotAngled);
+ Quatd deltaQd = Quatd(rotAxisd.x*sinHRAd, rotAxisd.y*sinHRAd, rotAxisd.z*sinHRAd,
+ cos(halfRotAngled));
+ qpd = qpd * deltaQd;
+ // Update vel
+ avkd += aad;
+ }
+ qP = Quatf((float)qpd.x,(float)qpd.y,(float)qpd.z,(float)qpd.w);
+#endif
+ }
+ return qP;
+}
+
+
+Vector3f SensorFusion::GetCalibratedMagValue(const Vector3f& rawMag) const
+{
+ Vector3f mag = rawMag;
+ OVR_ASSERT(HasMagCalibration());
+ mag.x += MagCalibrationMatrix.M[0][3];
+ mag.y += MagCalibrationMatrix.M[1][3];
+ mag.z += MagCalibrationMatrix.M[2][3];
+ return mag;
+}
+
+
+void SensorFusion::SetMagReference(const Quatf& q, const Vector3f& rawMag)
+{
+ MagRefQ = q;
+ MagRefM = rawMag;
+
+ float pitch, roll, yaw;
+ Q.GetEulerAngles<Axis_X, Axis_Z, Axis_Y>(&pitch, &roll, &yaw);
+ MagRefYaw = yaw;
+ MagReferenced = true;
+ if (MagCalibrated)
+ MagReady = true;
+}
+
+
+float SensorFusion::AngleDifference(float theta1, float theta2)
+{
+ float x = theta1 - theta2;
+ if (x > Math<float>::Pi)
+ return x - Math<float>::TwoPi;
+ if (x < -Math<float>::Pi)
+ return x + Math<float>::TwoPi;
+ return x;
+}
+
+
+SensorFusion::BodyFrameHandler::~BodyFrameHandler()
+{
+ RemoveHandlerFromDevices();
+}
+
+void SensorFusion::BodyFrameHandler::OnMessage(const Message& msg)
+{
+ if (msg.Type == Message_BodyFrame)
+ pFusion->handleMessage(static_cast<const MessageBodyFrame&>(msg));
+ if (pFusion->pDelegate)
+ pFusion->pDelegate->OnMessage(msg);
+}
+
+bool SensorFusion::BodyFrameHandler::SupportsMessageType(MessageType type) const
+{
+ return (type == Message_BodyFrame);
+}
+
+
+} // namespace OVR
+