Eigen::Matrix3f Homography::calcHomography( const Eigen::Isometry3f &camA2plane, const Eigen::Isometry3f &camB2plane ) const
{
// calculate the plane normal (z-vector) from the point of camB
Eigen::Vector3f n = camB2plane.rotation().transpose() * -Eigen::Vector3f::UnitZ();
// calculate the distance from camB to plane
float d = camB2plane.inverse().translation().dot( n );
// get transform from camB to camA
Eigen::Isometry3f camBtoCamA = camA2plane.inverse() * camB2plane;
// get the homography
return calcHomography( camBtoCamA, n, d );
}
void ICPOdometry::getIncrementalTransformation(Eigen::Vector3f & trans, Eigen::Matrix<float, 3, 3, Eigen::RowMajor> & rot, int threads, int blocks)
{
iterations[0] = 10;
iterations[1] = 5;
iterations[2] = 4;
Eigen::Matrix<float, 3, 3, Eigen::RowMajor> Rprev = rot;
Eigen::Vector3f tprev = trans;
Eigen::Matrix<float, 3, 3, Eigen::RowMajor> Rcurr = Rprev;
Eigen::Vector3f tcurr = tprev;
Eigen::Matrix<float, 3, 3, Eigen::RowMajor> Rprev_inv = Rprev.inverse();
Mat33 & device_Rprev_inv = device_cast<Mat33>(Rprev_inv);
float3& device_tprev = device_cast<float3>(tprev);
cv::Mat resultRt = cv::Mat::eye(4, 4, CV_64FC1);
for(int i = NUM_PYRS - 1; i >= 0; i--)
{
for(int j = 0; j < iterations[i]; j++)
{
Eigen::Matrix<float, 6, 6, Eigen::RowMajor> A_icp;
Eigen::Matrix<float, 6, 1> b_icp;
Mat33& device_Rcurr = device_cast<Mat33> (Rcurr);
float3& device_tcurr = device_cast<float3>(tcurr);
DeviceArray2D<float>& vmap_curr = vmaps_curr_[i];
DeviceArray2D<float>& nmap_curr = nmaps_curr_[i];
DeviceArray2D<float>& vmap_g_prev = vmaps_g_prev_[i];
DeviceArray2D<float>& nmap_g_prev = nmaps_g_prev_[i];
float residual[2];
icpStep(device_Rcurr,
device_tcurr,
vmap_curr,
nmap_curr,
device_Rprev_inv,
device_tprev,
intr(i),
vmap_g_prev,
nmap_g_prev,
distThres_,
angleThres_,
sumData,
outData,
A_icp.data(),
b_icp.data(),
&residual[0],
threads,
blocks);
lastICPError = sqrt(residual[0]) / residual[1];
lastICPCount = residual[1];
Eigen::Matrix<double, 6, 1> result;
Eigen::Matrix<double, 6, 6, Eigen::RowMajor> dA_icp = A_icp.cast<double>();
Eigen::Matrix<double, 6, 1> db_icp = b_icp.cast<double>();
lastA = dA_icp;
lastb = db_icp;
result = lastA.ldlt().solve(lastb);
Eigen::Isometry3f incOdom;
OdometryProvider::computeProjectiveMatrix(resultRt, result, incOdom);
Eigen::Isometry3f currentT;
currentT.setIdentity();
currentT.rotate(Rprev);
currentT.translation() = tprev;
currentT = currentT * incOdom.inverse();
tcurr = currentT.translation();
Rcurr = currentT.rotation();
}
}
trans = tcurr;
rot = Rcurr;
}
Eigen::Matrix3f Homography::calcHomography( const Eigen::Isometry3f &trans, const Eigen::Vector3f &n, float dist ) const
{
return calcHomography( trans.rotation(), trans.translation(), n, dist );
}
void RGBDOdometry::getIncrementalTransformation(Eigen::Vector3f & trans,
Eigen::Matrix<float, 3, 3, Eigen::RowMajor> & rot,
const bool & rgbOnly,
const float & icpWeight,
const bool & pyramid,
const bool & fastOdom,
const bool & so3)
{
bool icp = !rgbOnly && icpWeight > 0;
bool rgb = rgbOnly || icpWeight < 100;
Eigen::Matrix<float, 3, 3, Eigen::RowMajor> Rprev = rot;
Eigen::Vector3f tprev = trans;
Eigen::Matrix<float, 3, 3, Eigen::RowMajor> Rcurr = Rprev;
Eigen::Vector3f tcurr = tprev;
if(rgb)
{
for(int i = 0; i < NUM_PYRS; i++)
{
computeDerivativeImages(nextImage[i], nextdIdx[i], nextdIdy[i]);
}
}
Eigen::Matrix<double, 3, 3, Eigen::RowMajor> resultR = Eigen::Matrix<double, 3, 3, Eigen::RowMajor>::Identity();
if(so3)
{
int pyramidLevel = 2;
Eigen::Matrix<float, 3, 3, Eigen::RowMajor> R_lr = Eigen::Matrix<float, 3, 3, Eigen::RowMajor>::Identity();
Eigen::Matrix<double, 3, 3, Eigen::RowMajor> K = Eigen::Matrix<double, 3, 3, Eigen::RowMajor>::Zero();
K(0, 0) = intr(pyramidLevel).fx;
K(1, 1) = intr(pyramidLevel).fy;
K(0, 2) = intr(pyramidLevel).cx;
K(1, 2) = intr(pyramidLevel).cy;
K(2, 2) = 1;
float lastError = std::numeric_limits<float>::max() / 2;
float lastCount = std::numeric_limits<float>::max() / 2;
Eigen::Matrix<double, 3, 3, Eigen::RowMajor> lastResultR = Eigen::Matrix<double, 3, 3, Eigen::RowMajor>::Identity();
for(int i = 0; i < 10; i++)
{
Eigen::Matrix<float, 3, 3, Eigen::RowMajor> jtj;
Eigen::Matrix<float, 3, 1> jtr;
Eigen::Matrix<double, 3, 3, Eigen::RowMajor> homography = K * resultR * K.inverse();
mat33 imageBasis;
memcpy(&imageBasis.data[0], homography.cast<float>().eval().data(), sizeof(mat33));
Eigen::Matrix<double, 3, 3, Eigen::RowMajor> K_inv = K.inverse();
mat33 kinv;
memcpy(&kinv.data[0], K_inv.cast<float>().eval().data(), sizeof(mat33));
Eigen::Matrix<double, 3, 3, Eigen::RowMajor> K_R_lr = K * resultR;
mat33 krlr;
memcpy(&krlr.data[0], K_R_lr.cast<float>().eval().data(), sizeof(mat33));
float residual[2];
TICK("so3Step");
so3Step(lastNextImage[pyramidLevel],
nextImage[pyramidLevel],
imageBasis,
kinv,
krlr,
sumDataSO3,
outDataSO3,
jtj.data(),
jtr.data(),
&residual[0],
GPUConfig::getInstance().so3StepThreads,
GPUConfig::getInstance().so3StepBlocks);
TOCK("so3Step");
lastSO3Error = sqrt(residual[0]) / residual[1];
lastSO3Count = residual[1];
//Converged
if(lastSO3Error < lastError && lastCount == lastSO3Count)
{
break;
}
else if(lastSO3Error > lastError + 0.001) //Diverging
{
lastSO3Error = lastError;
lastSO3Count = lastCount;
resultR = lastResultR;
break;
}
lastError = lastSO3Error;
lastCount = lastSO3Count;
lastResultR = resultR;
Eigen::Vector3f delta = jtj.ldlt().solve(jtr);
Eigen::Matrix<double, 3, 3, Eigen::RowMajor> rotUpdate = OdometryProvider::rodrigues(delta.cast<double>());
R_lr = rotUpdate.cast<float>() * R_lr;
for(int x = 0; x < 3; x++)
{
for(int y = 0; y < 3; y++)
{
resultR(x, y) = R_lr(x, y);
}
}
}
}
iterations[0] = fastOdom ? 3 : 10;
iterations[1] = pyramid ? 5 : 0;
iterations[2] = pyramid ? 4 : 0;
Eigen::Matrix<float, 3, 3, Eigen::RowMajor> Rprev_inv = Rprev.inverse();
mat33 device_Rprev_inv = Rprev_inv;
float3 device_tprev = *reinterpret_cast<float3*>(tprev.data());
Eigen::Matrix<double, 4, 4, Eigen::RowMajor> resultRt = Eigen::Matrix<double, 4, 4, Eigen::RowMajor>::Identity();
if(so3)
{
for(int x = 0; x < 3; x++)
{
for(int y = 0; y < 3; y++)
{
resultRt(x, y) = resultR(x, y);
}
}
}
for(int i = NUM_PYRS - 1; i >= 0; i--)
{
if(rgb)
{
projectToPointCloud(lastDepth[i], pointClouds[i], intr, i);
}
Eigen::Matrix<double, 3, 3, Eigen::RowMajor> K = Eigen::Matrix<double, 3, 3, Eigen::RowMajor>::Zero();
K(0, 0) = intr(i).fx;
K(1, 1) = intr(i).fy;
K(0, 2) = intr(i).cx;
K(1, 2) = intr(i).cy;
K(2, 2) = 1;
lastRGBError = std::numeric_limits<float>::max();
for(int j = 0; j < iterations[i]; j++)
{
Eigen::Matrix<double, 4, 4, Eigen::RowMajor> Rt = resultRt.inverse();
Eigen::Matrix<double, 3, 3, Eigen::RowMajor> R = Rt.topLeftCorner(3, 3);
Eigen::Matrix<double, 3, 3, Eigen::RowMajor> KRK_inv = K * R * K.inverse();
mat33 krkInv;
memcpy(&krkInv.data[0], KRK_inv.cast<float>().eval().data(), sizeof(mat33));
Eigen::Vector3d Kt = Rt.topRightCorner(3, 1);
Kt = K * Kt;
float3 kt = {(float)Kt(0), (float)Kt(1), (float)Kt(2)};
int sigma = 0;
int rgbSize = 0;
if(rgb)
{
TICK("computeRgbResidual");
computeRgbResidual(pow(minimumGradientMagnitudes[i], 2.0) / pow(sobelScale, 2.0),
nextdIdx[i],
nextdIdy[i],
lastDepth[i],
nextDepth[i],
lastImage[i],
nextImage[i],
corresImg[i],
sumResidualRGB,
maxDepthDeltaRGB,
kt,
krkInv,
sigma,
rgbSize,
GPUConfig::getInstance().rgbResThreads,
GPUConfig::getInstance().rgbResBlocks);
TOCK("computeRgbResidual");
}
float sigmaVal = std::sqrt((float)sigma / rgbSize == 0 ? 1 : rgbSize);
float rgbError = std::sqrt(sigma) / (rgbSize == 0 ? 1 : rgbSize);
if(rgbOnly && rgbError > lastRGBError)
{
break;
}
lastRGBError = rgbError;
lastRGBCount = rgbSize;
if(rgbOnly)
{
sigmaVal = -1; //Signals the internal optimisation to weight evenly
}
Eigen::Matrix<float, 6, 6, Eigen::RowMajor> A_icp;
Eigen::Matrix<float, 6, 1> b_icp;
mat33 device_Rcurr = Rcurr;
float3 device_tcurr = *reinterpret_cast<float3*>(tcurr.data());
DeviceArray2D<float>& vmap_curr = vmaps_curr_[i];
DeviceArray2D<float>& nmap_curr = nmaps_curr_[i];
DeviceArray2D<float>& vmap_g_prev = vmaps_g_prev_[i];
DeviceArray2D<float>& nmap_g_prev = nmaps_g_prev_[i];
float residual[2];
if(icp)
{
TICK("icpStep");
icpStep(device_Rcurr,
device_tcurr,
vmap_curr,
nmap_curr,
device_Rprev_inv,
device_tprev,
intr(i),
vmap_g_prev,
nmap_g_prev,
distThres_,
angleThres_,
sumDataSE3,
outDataSE3,
A_icp.data(),
b_icp.data(),
&residual[0],
GPUConfig::getInstance().icpStepThreads,
GPUConfig::getInstance().icpStepBlocks);
TOCK("icpStep");
}
lastICPError = sqrt(residual[0]) / residual[1];
lastICPCount = residual[1];
Eigen::Matrix<float, 6, 6, Eigen::RowMajor> A_rgbd;
Eigen::Matrix<float, 6, 1> b_rgbd;
if(rgb)
{
TICK("rgbStep");
rgbStep(corresImg[i],
sigmaVal,
pointClouds[i],
intr(i).fx,
intr(i).fy,
nextdIdx[i],
nextdIdy[i],
sobelScale,
sumDataSE3,
outDataSE3,
A_rgbd.data(),
b_rgbd.data(),
GPUConfig::getInstance().rgbStepThreads,
GPUConfig::getInstance().rgbStepBlocks);
TOCK("rgbStep");
}
Eigen::Matrix<double, 6, 1> result;
Eigen::Matrix<double, 6, 6, Eigen::RowMajor> dA_rgbd = A_rgbd.cast<double>();
Eigen::Matrix<double, 6, 6, Eigen::RowMajor> dA_icp = A_icp.cast<double>();
Eigen::Matrix<double, 6, 1> db_rgbd = b_rgbd.cast<double>();
Eigen::Matrix<double, 6, 1> db_icp = b_icp.cast<double>();
if(icp && rgb)
{
double w = icpWeight;
lastA = dA_rgbd + w * w * dA_icp;
lastb = db_rgbd + w * db_icp;
result = lastA.ldlt().solve(lastb);
}
else if(icp)
{
lastA = dA_icp;
lastb = db_icp;
result = lastA.ldlt().solve(lastb);
}
else if(rgb)
{
lastA = dA_rgbd;
lastb = db_rgbd;
result = lastA.ldlt().solve(lastb);
}
else
{
assert(false && "Control shouldn't reach here");
}
Eigen::Isometry3f rgbOdom;
OdometryProvider::computeUpdateSE3(resultRt, result, rgbOdom);
Eigen::Isometry3f currentT;
currentT.setIdentity();
currentT.rotate(Rprev);
currentT.translation() = tprev;
currentT = currentT * rgbOdom.inverse();
tcurr = currentT.translation();
Rcurr = currentT.rotation();
}
}
if(rgb && (tcurr - tprev).norm() > 0.3)
{
Rcurr = Rprev;
tcurr = tprev;
}
if(so3)
{
for(int i = 0; i < NUM_PYRS; i++)
{
std::swap(lastNextImage[i], nextImage[i]);
}
}
trans = tcurr;
rot = Rcurr;
}