与设备方向陀螺仪问题 [英] Gyroscope Issues with Device Orientation
问题描述
我是从我的设备的陀螺仪使用本教程中获得俯仰和横滚数据：<一href="http://www.thousand-thoughts.com/2012/03/android-sensor-fusion-tutorial/">http://www.thousand-thoughts.com/2012/03/android-sensor-fusion-tutorial/
I'm getting pitch and roll data from my device's gyroscope using this tutorial: http://www.thousand-thoughts.com/2012/03/android-sensor-fusion-tutorial/
所有的读数是非常准确的（有适用于code教程，以消除陀螺漂移过滤器）。不幸的是，当我的设备放置在平坦的表面平行于地面code才有效。我的应用程序工作最理想的位置是与设备笔直指向顶部（即，该装置是垂直于面向用户屏幕上的接地）。每当我定向我的设备在该位置，音调值转到90度（如预期）。我想要做的是设置此位置为0度点（或初始位置）为我的设备，这样的间距读数与屏幕面对用户时，我的设备是面向直立（纵向模式），0度。
All the readings are extremely accurate (there's a filter applied to the code in the tutorial to eliminate gyro drift). Unfortunately, the code only works when my device is placed flat on a surface that is parallel to the ground. The most ideal position for my app to work would be with the top of the device pointing straight up (ie, the device is perpendicular to the ground with the screen facing the user). Whenever I orient my device in this position, the pitch values go to +90 degrees (as expected). What I would like to do is set this position as the 0 degree point (or initial position) for my device so that the pitch readings are 0 degrees when my device is oriented upright (in portrait mode) with the screen facing the user.
我问本教程的作者对这个问题的帮助，他回答说：
I asked the author of the tutorial with help on this issue and he responded:
如果你想拥有直立位置作为初始之一，你将不得不旋转你参考相应的框架，最简单的方法是通过旋转绕X轴-90度所产生的旋转矩阵，但你必须要小心，此时算法中应用此旋转。永远记住，旋转是不可交换的操作。更具体地讲这一点，我会到C重新检讨$ C $，因为我还没有曾与它现在一段时间。
"If you want to have the upright position as the initial one, you will have to rotate your frame of reference accordingly. The simplest way would be to rotate the resulting rotation matrix by -90 degrees about the x-axis. But you have to be careful about at which point in the algorithm to apply this rotation. Always remember that rotations are not commutative operations. To be more specific on this, I would have to review the code again, since I haven’t worked with it for a while now."
我真的很困惑，难倒就如何转动我的参照系。我猜的底线是，我不知道如何通过关于x轴-90度旋转矩阵。如果有人可以帮助我走出这个部分，那将是非常美妙的。这是我的code，以防有人想参考一下吧：
I'm really really confused and stumped as to how to rotate my frame of reference. I guess the bottom line is that I have no idea how to rotate the matrix by -90 degrees about the x-axis. If someone could help me out with this part, it would be fantastic. Here's my code in case anyone would like to refer to it:
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);
}
}
在此先感谢您的帮助！
Thanks in advance for your help!
推荐答案
理论...
我真的不知道的关于你的参照系矩阵重新presented的格式，但通常的旋转与矩阵乘法完成。
I'm not really sure about the format in which your "frame of reference" matrix is represented, but typically rotations are done with matrix multiplication.
基本上，你把你的参考矩阵框架，并通过一个90度的旋转矩阵相乘。
Basically, you would take your "frame of reference matrix" and multiply it by a 90 degrees rotation matrix.
这样的矩阵可以在维基百科中找到： 三维旋转矩阵
Such a matrix can be found on Wikipedia: Three-dimensional rotation matrices
由于您的角度为90度，你的正弦和余弦将解析为1或0，你可以直接插入基质，而不是计算正弦和余弦。例如，一个矩阵，将逆时针旋转90度，绕X轴是这样的：
Since your angle is 90 degrees, your sines and cosines would resolve to 1's or 0's which you can plug directly into the matrix instead of computing the sines and cosines. For example, a matrix that would rotate 90 degrees counter-clockwise about the x axis would look like this:
1 0 0
0 0 1
0 -1 0
此外，请注意，矩阵像这样的行向量操作的XYZ坐标。 因此，举例来说，如果你有空间为（2,5,7）的一个点，你想使用上述矩阵转动它，你会做以下操作：
Also, please not that matrices like these operate on row vectors of x y z coordinates. So for example, if you have a point in space that is at (2,5,7) and you would like to rotate it using the above matrix, you would have to do the following operation:
|2 5 7| |1 0 0|
|0 0 1|
|0 -1 0|
这给了[2 -7 5]
Which gives [2 -7 5]
...应用到您的code
我也很快扫了一眼你的code和它看起来像你需要做的修改涉及calculateAccMagOrientation（）的输出，因为它是用来初始化设备的方向。
I have glanced quickly at your code and it seems like the modification you need to make involves the output of calculateAccMagOrientation() because it is used to initialize the orientation of the device.
1: public void calculateAccMagOrientation() {
2: if(SensorManager.getRotationMatrix(rotationMatrix, null, accel, magnet)) {
3: SensorManager.getOrientation(rotationMatrix, accMagOrientation);
4: }
5: }
在上面的代码片段2号线是你在哪里得到您最初的rotationMatrix。试着用手乘以rotationMatrix制作的90度旋转矩阵呼吁getOrientation在行3.我认为，这将有效地重新调整你的参考方向之前：
At line 2 in the above snippet is where you get your initial rotationMatrix. Try multiplying rotationMatrix by a hand crafted 90 degrees rotation matrix before calling getOrientation at line 3. I think this will effectively re-align your reference orientation:
public void calculateAccMagOrientation() {
if(SensorManager.getRotationMatrix(rotationMatrix, null, accel, magnet)) {
rotationMatrix = matrixMultiplication(rotationMatrix, my90DegRotationMatrix);
SensorManager.getOrientation(rotationMatrix, accMagOrientation);
}
}
请注意，根据不同的角度在Android中是如何工作的，你可能需要使用一个逆时针的90度顺时针旋转矩阵代替。
Please note that depending on how the angles work in Android, you might need to use a 90 degrees clockwise rotation matrix instead of a counter-clockwise.
替代解决方案
这只是发生在我，也许你也可以简单地从决赛场上的结果显示它之前减去90？
It just occurred to me, maybe you could also simply subtract 90 from the final pitch result before displaying it?
这篇关于与设备方向陀螺仪问题的文章就介绍到这了，希望我们推荐的答案对大家有所帮助，也希望大家多多支持IT屋！
