我目前正在使用 CoreMotion 的 DeviceMotion 来获取 iPhone 的方向(滚动、俯仰、偏航)。现在我想拥有这些相对于地理北极的值;所以我需要一个包含滚动、俯仰和偏航值的 CMAttitude 参考对象,如果 iPhone 的背面朝向北极(3D),则会报告这些值。CLLocationManager 只返回 Tesla 中的磁航向 (x, y, z)。
您是否知道如何将这些值转换为滚动、俯仰和偏航?
提前致谢,
亚历山大
我目前正在使用 CoreMotion 的 DeviceMotion 来获取 iPhone 的方向(滚动、俯仰、偏航)。现在我想拥有这些相对于地理北极的值;所以我需要一个包含滚动、俯仰和偏航值的 CMAttitude 参考对象,如果 iPhone 的背面朝向北极(3D),则会报告这些值。CLLocationManager 只返回 Tesla 中的磁航向 (x, y, z)。
您是否知道如何将这些值转换为滚动、俯仰和偏航?
提前致谢,
亚历山大
iOS 5 提供了指定方法。在开发人员文档中查找 CMAttitudeReferenceFrameXTrueNorthZVertical。
伪代码:
这是代码:
- (void) initMotionCapture
{
firstGravityReading = NO;
referenceAttitude = nil;
if (motionManager == nil)
{
self.motionManager = [CMMotionManager new];
}
motionManager.deviceMotionUpdateInterval = 0.01;
self.gravityTimer = [NSTimer scheduledTimerWithTimeInterval:1/60.0 target:self selector:@selector(getFirstGravityReading) userInfo:nil repeats:YES];
}
- (void) getFirstGravityReading
{
CMAcceleration currentGravity;
CMDeviceMotion *dm = motionManager.deviceMotion;
referenceAttitude = dm.attitude;
currentGravity = dm.gravity;
[motionManager startDeviceMotionUpdates];
if (currentGravity.x !=0 && currentGravity.y !=0 && currentGravity.z !=0)
{
NSLog(@"Gravity = (%f,%f,%f)", currentGravity.x, currentGravity.y, currentGravity.z);
firstGravityReading = YES;
[gravityTimer invalidate];
self.gravityTimer = nil;
[self setupCompass];
}
}
- (void) setupCompass
{
//Draw your cube... I am using a quartz 3D perspective hack!
CATransform3D initialTransform = perspectiveTransformedLayer.sublayerTransform;
initialTransform.m34 = 1.0/-10000;
//HERE IS WHAT YOU GUYS NEED... the vector equations!
NSLog(@"Gravity = (%f,%f,%f)", currentGravity.x, currentGravity.y, currentGravity.z);
//we have current gravity vector and our device gravity vector of (0, 0, -1)
// get the dot product
float dotProduct = currentGravity.x*0 + currentGravity.y*0 + currentGravity.z*-1;
float innerMagnitudeProduct = currentGravity.x*currentGravity.x + currentGravity.y + currentGravity.y + currentGravity.z*currentGravity.z;
float magnitudeCurrentGravity = sqrt(innerMagnitudeProduct);
float magnitudeDeviceVector = 1; //since (0,0,-1) computes to: 0*0 + 0*0 + -1*-1 = 1
thetaOffset = acos(dotProduct/(magnitudeCurrentGravity*magnitudeDeviceVector));
NSLog(@"theta(degrees) = %f", thetaOffset*180.0/M_PI);
//Now we have the device angle to the gravity vector (0,0,-1)
//We must transform these coordinates to match our
//device's attitude by transforming to theta prime
float theta_deg = thetaOffset*180.0/M_PI;
float thetaPrime_deg = -theta_deg + 90; // ThetaPrime = -Theta + 90 <==> y=mx+b
NSLog(@"thetaPrime(degrees) = %f", thetaOffset*180.0/M_PI);
deviceOffsetRotation = CATransform3DMakeRotation((thetaPrime_deg) * M_PI / 180.0, 1, 0, 0);
initialTransform = CATransform3DConcat(deviceOffsetRotation, initialTransform);
perspectiveTransformedLayer.sublayerTransform = initialTransform;
self.animationTimer = [NSTimer scheduledTimerWithTimeInterval:1/60.0 target:self selector:@selector(tick) userInfo:nil repeats:YES];
}
- (void) tick
{
CMRotationMatrix rotation;
CMDeviceMotion *deviceMotion = motionManager.deviceMotion;
CMAttitude *attitude = deviceMotion.attitude;
if (referenceAttitude != nil)
{
[attitude multiplyByInverseOfAttitude:referenceAttitude];
}
rotation = attitude.rotationMatrix;
CATransform3D rotationalTransform = perspectiveTransformedLayer.sublayerTransform;
//inverse (or called the transpose) of the attitude.rotationalMatrix
rotationalTransform.m11 = rotation.m11;
rotationalTransform.m12 = rotation.m21;
rotationalTransform.m13 = rotation.m31;
rotationalTransform.m21 = rotation.m12;
rotationalTransform.m22 = rotation.m22;
rotationalTransform.m23 = rotation.m32;
rotationalTransform.m31 = rotation.m13;
rotationalTransform.m32 = rotation.m23;
rotationalTransform.m33 = rotation.m33;
rotationalTransform = CATransform3DConcat(deviceOffsetRotation, rotationalTransform);
rotationalTransform = CATransform3DConcat(rotationalTransform, CATransform3DMakeScale(1.0, -1.0, 1.0));
perspectiveTransformedLayer.sublayerTransform = rotationalTransform;
}
您需要不时根据磁航向校准偏航值,以确保您在正确的轨道上。查看有关如何补偿摇晃罗盘的说明:Compensating compass lag with the gyroscope on iPhone 4
特斯拉值是磁场强度,衡量在三个轴的每一个轴上感受到多少磁“拉力”。只有将此信息与加速度计数据相结合,并进行大量数学运算,您才能获得实际航向(设备相对于磁北“指向”的方式)。然后添加来自 GPS 的信息并进行更多数学运算,以获得真正的航向(相对于地理北极)。
长话短说,你可能不想自己做数学。幸运的是,iOS 在其 CLHeading 对象中同时提供了 MagneticHeading 和 trueHeading,可从 CLLocationManager 标题属性中获得。
要获得描述设备如何倾斜的俯仰和滚动,还需要对来自磁力计和加速度计的相同原始数据进行数学运算。抱歉,我不知道任何用于俯仰和滚动的 iOS API。