| 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 |