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Interpolation of transformation matrix

Is it possible to interpolate transformation matrix? I want to have rough homography for every frame between two frames for which homography was calculated manualy.

For example there's frame 0 with calculated transformation matrix H and frame 101 with calculated matrix H'. Granted that camera movement is even I want to find 100 transformation matrices to every frame between 0 and 101.

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Or is there any simplier solution for this problem?