| nFrames | int |  |  | Number of frames | 
    
      | adHost | Mat88* | nFrames x nFrames | \(\begin{bmatrix} (\frac{\partial \boldsymbol{\xi}_{ji}}{\partial \boldsymbol{\xi}_{iw}})^{T} & \\ & (\frac{\partial \begin{bmatrix} -e^{a_{ji}} \\ -b_{ji}\end{bmatrix}}{\partial \mathbf{a}_{i}})^{T}\end{bmatrix} = \begin{bmatrix} (\frac{\partial \boldsymbol{\xi}_{ji}}{\partial \boldsymbol{\xi}_{iw}})^{T} & \\ & (\frac{\partial \mathbf{a}_{ji}}{\partial \mathbf{a}_{i}})^{T}\end{bmatrix}\) | For a pair of frames (host, target), the corresponding index is(host id + target id * nFrames) | 
    
      | adTarget | Mat88* | nFrames x nFrames | \(\begin{bmatrix} (\frac{\partial \boldsymbol{\xi}_{ji}}{\partial \boldsymbol{\xi}_{jw}})^{T} & \\ & (\frac{\partial \begin{bmatrix} -e^{a_{ji}} \\ -b_{ji}\end{bmatrix}}{\partial \mathbf{a}_{j}})^{T}\end{bmatrix}= \begin{bmatrix} (\frac{\partial \boldsymbol{\xi}_{ji}}{\partial \boldsymbol{\xi}_{jw}})^{T} & \\ & (\frac{\partial \mathbf{a}_{ji}}{\partial \mathbf{a}_{j}})^{T}\end{bmatrix}\) |  | 
    
      | adHTdeltaF | Mat18f* | nFrames x nFrames | \(\begin{bmatrix}\delta{\boldsymbol{\xi}_{ji}} & \delta{\mathbf{a}_{ji}} \end{bmatrix} = \begin{bmatrix}(\frac{\partial \boldsymbol{\xi}_{ji}}{\partial \boldsymbol{\xi}_{iw}} \delta{\boldsymbol{\xi}_{iw}})^{T} + (\frac{\partial \boldsymbol{\xi}_{ji}}{\partial \boldsymbol{\xi}_{jw}} \delta{\boldsymbol{\xi}_{jw}})^{T} & (\frac{\partial \mathbf{a}_{ji}}{\partial \mathbf{a}_{i}}\delta{\mathbf{a}_{i}})^{T} + (\frac{\partial \mathbf{a}_{ji}}{\partial \mathbf{a}_{j}}\delta{\mathbf{a}_{j}})^{T} \end{bmatrix}\) | Increment of relative pose and relative photometric parameters |