DSO

DSO - CoraseInitializer

Posted by Tong on April 17, 2020

Direct sparse odometry

Variable used in CoarseInitializer Variable used here Meaning
residual \(I_{j}\left[\mathbf{p}_{j}\right]-e^{a_{ji}}I_{i}[\mathbf{p}_{i}] - b_{ji}\) single residual
hw \(\omega_{h}\) Huber weight
refToNew_aff_current \(\begin{bmatrix}a_{ji} \\ b_{ji}\end{bmatrix}\) photometric affine parameters
r2new_aff \(\begin{bmatrix}e^{a_{ji}} \\ b_{ji}\end{bmatrix}\) photometric affine parameters
dp0 \(\frac{\partial r_{ji}}{\partial t_{ji}^x}\) derivative wrt. translation
dp1 \(\frac{\partial r_{ji}}{\partial t_{ji}^y}\) derivative wrt. translation
dp2 \(\frac{\partial r_{ji}}{\partial t_{ji}^z}\) derivative wrt. translation
dp3 \(\frac{\partial r_{ji}}{\partial \phi_{ji}^x}\) derivative wrt. rotation
dp4 \(\frac{\partial r_{ji}}{\partial \phi_{ji}^y}\) derivative wrt. rotation
dp5 \(\frac{\partial r_{ji}}{\partial \phi_{ji}^z}\) derivative wrt. rotation
dp6 \(\frac{\partial r_{ji}}{\partial a_{ji}}\) derivative wrt. photometric affine parameters
dp7 \(\frac{\partial r_{ji}}{\partial b_{ji}}\) derivative wrt. photometric affine parameters
dd \(\frac{\partial r_{ji}}{\partial \rho_{i}}\) derivative wrt. inverse depth i
r \(r_{ji}\) single residual after applying Huber kernel