このチュートリアルを使用して、デバイスのジャイロスコープからピッチとロールのデータを取得しています: http://www.thousand-thoughts.com/2012/03/android-sensor-fusion-tutorial/
すべての測定値は非常に正確です (ジャイロ ドリフトを除去するために、チュートリアルのコードにフィルターが適用されています)。残念ながら、このコードは、デバイスが地面に平行な面に平らに置かれている場合にのみ機能します。私のアプリが動作するための最も理想的な位置は、デバイスの上部がまっすぐ上を向いていることです (つまり、デバイスは地面に対して垂直で、画面がユーザーに面しています)。デバイスをこの位置に向けると、ピッチ値は (予想どおり) +90 度になります。私がやりたいことは、この位置をデバイスの 0 度ポイント (または初期位置) として設定して、デバイスが画面をユーザーに向けて直立 (ポートレート モード) のときにピッチの読み取り値が 0 度になるようにすることです。
この問題についてチュートリアルの作成者に質問したところ、彼は次のように答えました。
「最初の位置として直立したい場合は、それに応じて参照フレームを回転させる必要があります。最も簡単な方法は、結果の回転行列を x 軸を中心に -90 度回転させることです。しかし、アルゴリズムのどの時点でこのローテーションを適用するかについて注意してください. ローテーションは可換演算ではないことを常に覚えておいてください. これについてより具体的に説明するには, しばらくコードを使っていなかったので, コードをもう一度見直さなければなりません.今。"
参照フレームを回転させる方法について、私は本当に混乱して困惑しています。要するに、行列を x 軸を中心に -90 度回転させる方法がわからないということです。誰かがこの部分で私を助けることができれば、それは素晴らしいことです. 誰かが参照したい場合の私のコードは次のとおりです。
public class AttitudeDisplayIndicator extends SherlockActivity implements SensorEventListener {
private SensorManager mSensorManager = null;
// angular speeds from gyro
private float[] gyro = new float[3];
// rotation matrix from gyro data
private float[] gyroMatrix = new float[9];
// orientation angles from gyro matrix
private float[] gyroOrientation = new float[3];
// magnetic field vector
private float[] magnet = new float[3];
// accelerometer vector
private float[] accel = new float[3];
// orientation angles from accel and magnet
private float[] accMagOrientation = new float[3];
// final orientation angles from sensor fusion
private float[] fusedOrientation = new float[3];
// accelerometer and magnetometer based rotation matrix
private float[] rotationMatrix = new float[9];
public static final float EPSILON = 0.000000001f;
private static final float NS2S = 1.0f / 1000000000.0f;
private float timestamp;
private boolean initState = true;
public static final int TIME_CONSTANT = 30;
public static final float FILTER_COEFFICIENT = 0.98f;
private Timer fuseTimer = new Timer();
// The following members are only for displaying the sensor output.
public Handler mHandler;
DecimalFormat d = new DecimalFormat("#.##");
//ADI background image.
private ImageView adiBackground;
//ADI axes.
private ImageView adiAxes;
//ADI frame.
private ImageView adiFrame;
//Layout.
private RelativeLayout layout;
//Pitch and Roll TextViews.
private TextView pitchAngleText;
private TextView bankAngleText;
//Instantaneous output values from sensors as the device moves.
public static double pitch;
public static double roll;
//Matrix for rotating the ADI (roll).
Matrix mMatrix = new Matrix();
@Override
public void onCreate(Bundle savedInstanceState) {
super.onCreate(savedInstanceState);
setContentView(R.layout.activity_attitude_display_indicator);
gyroOrientation[0] = 0.0f;
gyroOrientation[1] = 0.0f;
gyroOrientation[2] = 0.0f;
// initialise gyroMatrix with identity matrix
gyroMatrix[0] = 1.0f; gyroMatrix[1] = 0.0f; gyroMatrix[2] = 0.0f;
gyroMatrix[3] = 0.0f; gyroMatrix[4] = 1.0f; gyroMatrix[5] = 0.0f;
gyroMatrix[6] = 0.0f; gyroMatrix[7] = 0.0f; gyroMatrix[8] = 1.0f;
// get sensorManager and initialise sensor listeners
mSensorManager = (SensorManager) this.getSystemService(SENSOR_SERVICE);
initListeners();
// wait for one second until gyroscope and magnetometer/accelerometer
// data is initialised then scedule the complementary filter task
fuseTimer.scheduleAtFixedRate(new calculateFusedOrientationTask(),
1000, TIME_CONSTANT);
mHandler = new Handler();
adiBackground = (ImageView) findViewById(R.id.adi_background);
adiFrame = (ImageView) findViewById(R.id.adi_frame);
adiAxes = (ImageView) findViewById(R.id.adi_axes);
layout = (RelativeLayout) findViewById(R.id.adi_layout);
new Color();
layout.setBackgroundColor(Color.rgb(150, 150, 150));
pitchAngleText = (TextView) findViewById(R.id.pitch_angle_text);
bankAngleText = (TextView) findViewById(R.id.bank_angle_text);
}
// This function registers sensor listeners for the accelerometer, magnetometer and gyroscope.
public void initListeners(){
mSensorManager.registerListener(this,
mSensorManager.getDefaultSensor(Sensor.TYPE_ACCELEROMETER),
SensorManager.SENSOR_DELAY_FASTEST);
mSensorManager.registerListener(this,
mSensorManager.getDefaultSensor(Sensor.TYPE_GYROSCOPE),
SensorManager.SENSOR_DELAY_FASTEST);
mSensorManager.registerListener(this,
mSensorManager.getDefaultSensor(Sensor.TYPE_MAGNETIC_FIELD),
SensorManager.SENSOR_DELAY_FASTEST);
}
//@Override
public void onAccuracyChanged(Sensor sensor, int accuracy) {
}
//@Override
public void onSensorChanged(SensorEvent event) {
switch(event.sensor.getType()) {
case Sensor.TYPE_ACCELEROMETER:
// copy new accelerometer data into accel array and calculate orientation
System.arraycopy(event.values, 0, accel, 0, 3);
calculateAccMagOrientation();
break;
case Sensor.TYPE_GYROSCOPE:
// process gyro data
gyroFunction(event);
break;
case Sensor.TYPE_MAGNETIC_FIELD:
// copy new magnetometer data into magnet array
System.arraycopy(event.values, 0, magnet, 0, 3);
break;
}
}
// calculates orientation angles from accelerometer and magnetometer output
public void calculateAccMagOrientation() {
if(SensorManager.getRotationMatrix(rotationMatrix, null, accel, magnet)) {
SensorManager.getOrientation(rotationMatrix, accMagOrientation);
}
}
// This function is borrowed from the Android reference
// at http://developer.android.com/reference/android/hardware/SensorEvent.html#values
// It calculates a rotation vector from the gyroscope angular speed values.
private void getRotationVectorFromGyro(float[] gyroValues,
float[] deltaRotationVector,
float timeFactor)
{
float[] normValues = new float[3];
// Calculate the angular speed of the sample
float omegaMagnitude =
(float)Math.sqrt(gyroValues[0] * gyroValues[0] +
gyroValues[1] * gyroValues[1] +
gyroValues[2] * gyroValues[2]);
// Normalize the rotation vector if it's big enough to get the axis
if(omegaMagnitude > EPSILON) {
normValues[0] = gyroValues[0] / omegaMagnitude;
normValues[1] = gyroValues[1] / omegaMagnitude;
normValues[2] = gyroValues[2] / omegaMagnitude;
}
// Integrate around this axis with the angular speed by the timestep
// in order to get a delta rotation from this sample over the timestep
// We will convert this axis-angle representation of the delta rotation
// into a quaternion before turning it into the rotation matrix.
float thetaOverTwo = omegaMagnitude * timeFactor;
float sinThetaOverTwo = (float)Math.sin(thetaOverTwo);
float cosThetaOverTwo = (float)Math.cos(thetaOverTwo);
deltaRotationVector[0] = sinThetaOverTwo * normValues[0];
deltaRotationVector[1] = sinThetaOverTwo * normValues[1];
deltaRotationVector[2] = sinThetaOverTwo * normValues[2];
deltaRotationVector[3] = cosThetaOverTwo;
}
// This function performs the integration of the gyroscope data.
// It writes the gyroscope based orientation into gyroOrientation.
public void gyroFunction(SensorEvent event) {
// don't start until first accelerometer/magnetometer orientation has been acquired
if (accMagOrientation == null)
return;
// initialisation of the gyroscope based rotation matrix
if(initState) {
float[] initMatrix = new float[9];
initMatrix = getRotationMatrixFromOrientation(accMagOrientation);
float[] test = new float[3];
SensorManager.getOrientation(initMatrix, test);
gyroMatrix = matrixMultiplication(gyroMatrix, initMatrix);
initState = false;
}
// copy the new gyro values into the gyro array
// convert the raw gyro data into a rotation vector
float[] deltaVector = new float[4];
if(timestamp != 0) {
final float dT = (event.timestamp - timestamp) * NS2S;
System.arraycopy(event.values, 0, gyro, 0, 3);
getRotationVectorFromGyro(gyro, deltaVector, dT / 2.0f);
}
// measurement done, save current time for next interval
timestamp = event.timestamp;
// convert rotation vector into rotation matrix
float[] deltaMatrix = new float[9];
SensorManager.getRotationMatrixFromVector(deltaMatrix, deltaVector);
// apply the new rotation interval on the gyroscope based rotation matrix
gyroMatrix = matrixMultiplication(gyroMatrix, deltaMatrix);
// get the gyroscope based orientation from the rotation matrix
SensorManager.getOrientation(gyroMatrix, gyroOrientation);
}
private float[] getRotationMatrixFromOrientation(float[] o) {
float[] xM = new float[9];
float[] yM = new float[9];
float[] zM = new float[9];
float sinX = (float)Math.sin(o[1]);
float cosX = (float)Math.cos(o[1]);
float sinY = (float)Math.sin(o[2]);
float cosY = (float)Math.cos(o[2]);
float sinZ = (float)Math.sin(o[0]);
float cosZ = (float)Math.cos(o[0]);
// rotation about x-axis (pitch)
xM[0] = 1.0f; xM[1] = 0.0f; xM[2] = 0.0f;
xM[3] = 0.0f; xM[4] = cosX; xM[5] = sinX;
xM[6] = 0.0f; xM[7] = -sinX; xM[8] = cosX;
// rotation about y-axis (roll)
yM[0] = cosY; yM[1] = 0.0f; yM[2] = sinY;
yM[3] = 0.0f; yM[4] = 1.0f; yM[5] = 0.0f;
yM[6] = -sinY; yM[7] = 0.0f; yM[8] = cosY;
// rotation about z-axis (azimuth)
zM[0] = cosZ; zM[1] = sinZ; zM[2] = 0.0f;
zM[3] = -sinZ; zM[4] = cosZ; zM[5] = 0.0f;
zM[6] = 0.0f; zM[7] = 0.0f; zM[8] = 1.0f;
// rotation order is y, x, z (roll, pitch, azimuth)
float[] resultMatrix = matrixMultiplication(xM, yM);
resultMatrix = matrixMultiplication(zM, resultMatrix);
return resultMatrix;
}
private float[] matrixMultiplication(float[] A, float[] B) {
float[] result = new float[9];
result[0] = A[0] * B[0] + A[1] * B[3] + A[2] * B[6];
result[1] = A[0] * B[1] + A[1] * B[4] + A[2] * B[7];
result[2] = A[0] * B[2] + A[1] * B[5] + A[2] * B[8];
result[3] = A[3] * B[0] + A[4] * B[3] + A[5] * B[6];
result[4] = A[3] * B[1] + A[4] * B[4] + A[5] * B[7];
result[5] = A[3] * B[2] + A[4] * B[5] + A[5] * B[8];
result[6] = A[6] * B[0] + A[7] * B[3] + A[8] * B[6];
result[7] = A[6] * B[1] + A[7] * B[4] + A[8] * B[7];
result[8] = A[6] * B[2] + A[7] * B[5] + A[8] * B[8];
return result;
}
class calculateFusedOrientationTask extends TimerTask {
public void run() {
float oneMinusCoeff = 1.0f - FILTER_COEFFICIENT;
/*
* Fix for 179° <--> -179° transition problem:
* Check whether one of the two orientation angles (gyro or accMag) is negative while the other one is positive.
* If so, add 360° (2 * math.PI) to the negative value, perform the sensor fusion, and remove the 360° from the result
* if it is greater than 180°. This stabilizes the output in positive-to-negative-transition cases.
*/
// azimuth
if (gyroOrientation[0] < -0.5 * Math.PI && accMagOrientation[0] > 0.0) {
fusedOrientation[0] = (float) (FILTER_COEFFICIENT * (gyroOrientation[0] + 2.0 * Math.PI) + oneMinusCoeff * accMagOrientation[0]);
fusedOrientation[0] -= (fusedOrientation[0] > Math.PI) ? 2.0 * Math.PI : 0;
}
else if (accMagOrientation[0] < -0.5 * Math.PI && gyroOrientation[0] > 0.0) {
fusedOrientation[0] = (float) (FILTER_COEFFICIENT * gyroOrientation[0] + oneMinusCoeff * (accMagOrientation[0] + 2.0 * Math.PI));
fusedOrientation[0] -= (fusedOrientation[0] > Math.PI)? 2.0 * Math.PI : 0;
}
else {
fusedOrientation[0] = FILTER_COEFFICIENT * gyroOrientation[0] + oneMinusCoeff * accMagOrientation[0];
}
// pitch
if (gyroOrientation[1] < -0.5 * Math.PI && accMagOrientation[1] > 0.0) {
fusedOrientation[1] = (float) (FILTER_COEFFICIENT * (gyroOrientation[1] + 2.0 * Math.PI) + oneMinusCoeff * accMagOrientation[1]);
fusedOrientation[1] -= (fusedOrientation[1] > Math.PI) ? 2.0 * Math.PI : 0;
}
else if (accMagOrientation[1] < -0.5 * Math.PI && gyroOrientation[1] > 0.0) {
fusedOrientation[1] = (float) (FILTER_COEFFICIENT * gyroOrientation[1] + oneMinusCoeff * (accMagOrientation[1] + 2.0 * Math.PI));
fusedOrientation[1] -= (fusedOrientation[1] > Math.PI)? 2.0 * Math.PI : 0;
}
else {
fusedOrientation[1] = FILTER_COEFFICIENT * gyroOrientation[1] + oneMinusCoeff * accMagOrientation[1];
}
// roll
if (gyroOrientation[2] < -0.5 * Math.PI && accMagOrientation[2] > 0.0) {
fusedOrientation[2] = (float) (FILTER_COEFFICIENT * (gyroOrientation[2] + 2.0 * Math.PI) + oneMinusCoeff * accMagOrientation[2]);
fusedOrientation[2] -= (fusedOrientation[2] > Math.PI) ? 2.0 * Math.PI : 0;
}
else if (accMagOrientation[2] < -0.5 * Math.PI && gyroOrientation[2] > 0.0) {
fusedOrientation[2] = (float) (FILTER_COEFFICIENT * gyroOrientation[2] + oneMinusCoeff * (accMagOrientation[2] + 2.0 * Math.PI));
fusedOrientation[2] -= (fusedOrientation[2] > Math.PI)? 2.0 * Math.PI : 0;
}
else {
fusedOrientation[2] = FILTER_COEFFICIENT * gyroOrientation[2] + oneMinusCoeff * accMagOrientation[2];
}
// overwrite gyro matrix and orientation with fused orientation
// to comensate gyro drift
gyroMatrix = getRotationMatrixFromOrientation(fusedOrientation);
System.arraycopy(fusedOrientation, 0, gyroOrientation, 0, 3);
// update sensor output in GUI
mHandler.post(updateOrientationDisplayTask);
}
}
よろしくお願いします。