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Working on "learning" the acceleration matrices.
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2 changed files with 49 additions and 13 deletions
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@ -239,19 +239,50 @@ void SerialInterface::readData(float deltaTime) {
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glm::quat estimatedRotation = glm::quat(glm::radians(_estimatedRotation)) *
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glm::quat(glm::radians(deltaTime * _lastRotationRates));
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// The acceleration matrix transforms angular to linear accelerations
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const glm::vec3 PIVOT_OFFSET(0.0f, -0.02f, -0.01f);
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const glm::vec3 PIVOT_OFFSET_NORMALIZED = glm::normalize(PIVOT_OFFSET);
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const glm::vec3 PIVOT_SINES = glm::max(glm::vec3(EPSILON, EPSILON, EPSILON),
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glm::sqrt(glm::vec3(1.0f, 1.0f, 1.0f) - PIVOT_OFFSET_NORMALIZED * PIVOT_OFFSET_NORMALIZED));
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const glm::mat3 ACCELERATION_MATRIX(
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0.0f, PIVOT_OFFSET.z / PIVOT_SINES.x, -PIVOT_OFFSET.y / PIVOT_SINES.x,
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-PIVOT_OFFSET.z / PIVOT_SINES.y, 0.0f, PIVOT_OFFSET.x / PIVOT_SINES.y,
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PIVOT_OFFSET.y / PIVOT_SINES.z, -PIVOT_OFFSET.x / PIVOT_SINES.z, 0.0f);
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// Update acceleration estimate: first, subtract gravity as rotated into current frame
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_estimatedAcceleration = _lastAcceleration - glm::inverse(estimatedRotation) * _gravity;
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// Consider updating our angular velocity/acceleration to linear acceleration mapping
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if (glm::length(_lastRotationRates) > EPSILON || glm::length(angularAcceleration) > EPSILON) {
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// compute predicted linear acceleration, find error between actual and predicted
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glm::vec3 predictedAcceleration = _angularVelocityToLinearAccel * _lastRotationRates +
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_angularAccelToLinearAccel * angularAcceleration;
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glm::vec3 error = _estimatedAcceleration - predictedAcceleration;
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// Update acceleration estimate
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_estimatedAcceleration = _lastAcceleration - glm::inverse(estimatedRotation) * _gravity -
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ACCELERATION_MATRIX * angularAcceleration;
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// adjust according to error in each dimension, in proportion to input magnitudes
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for (int i = 0; i < 3; i++) {
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if (fabsf(error[i]) < EPSILON) {
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continue;
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}
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const float LEARNING_RATE = 0.1f;
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float rateSum = fabsf(_lastRotationRates.x) + fabsf(_lastRotationRates.y) + fabsf(_lastRotationRates.z);
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if (rateSum > EPSILON) {
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for (int j = 0; j < 3; j++) {
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float proportion = LEARNING_RATE * fabsf(_lastRotationRates[j]) / rateSum;
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if (proportion > EPSILON) {
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_angularVelocityToLinearAccel[j][i] += error[i] * proportion / _lastRotationRates[j];
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}
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}
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}
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float accelSum = fabsf(angularAcceleration.x) + fabsf(angularAcceleration.y) + fabsf(angularAcceleration.z);
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if (accelSum > EPSILON) {
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for (int j = 0; j < 3; j++) {
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float proportion = LEARNING_RATE * fabsf(angularAcceleration[j]) / accelSum;
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if (proportion > EPSILON) {
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_angularAccelToLinearAccel[j][i] += error[i] * proportion / angularAcceleration[j];
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}
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}
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}
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}
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}
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printLog("%g %g %g\n", _angularVelocityToLinearAccel[0][0], _angularVelocityToLinearAccel[1][0], _angularVelocityToLinearAccel[2][0]);
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printLog("%g %g %g\n", _angularVelocityToLinearAccel[0][1], _angularVelocityToLinearAccel[1][1], _angularVelocityToLinearAccel[2][1]);
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printLog("%g %g %g\n\n", _angularVelocityToLinearAccel[0][2], _angularVelocityToLinearAccel[1][2], _angularVelocityToLinearAccel[2][2]);
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printLog("%g %g %g\n", _angularAccelToLinearAccel[0][0], _angularAccelToLinearAccel[1][0], _angularAccelToLinearAccel[2][0]);
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printLog("%g %g %g\n", _angularAccelToLinearAccel[0][1], _angularAccelToLinearAccel[1][1], _angularAccelToLinearAccel[2][1]);
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printLog("%g %g %g\n\n", _angularAccelToLinearAccel[0][2], _angularAccelToLinearAccel[1][2], _angularAccelToLinearAccel[2][2]);
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// Update estimated position and velocity
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float const DECAY_VELOCITY = 0.95f;
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@ -30,7 +30,9 @@ public:
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_estimatedPosition(0, 0, 0),
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_estimatedVelocity(0, 0, 0),
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_lastAcceleration(0, 0, 0),
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_lastRotationRates(0, 0, 0)
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_lastRotationRates(0, 0, 0),
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_angularVelocityToLinearAccel(0),
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_angularAccelToLinearAccel(0)
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{}
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void pair();
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@ -64,6 +66,9 @@ private:
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glm::vec3 _estimatedAcceleration;
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glm::vec3 _lastAcceleration;
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glm::vec3 _lastRotationRates;
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glm::mat3 _angularVelocityToLinearAccel;
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glm::mat3 _angularAccelToLinearAccel;
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};
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#endif
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