Spectral speckle correlation (SSC) enables fast, non-contact surface-roughness metrology, but object motion usually degrades its accuracy. We aim to enable measurements on moving objects and present a unified model that separates the total correlation into a wavelength-dependent term, from which the surface roughness is derived, and a kinematic term that quantifies motion blur, which affects the speckle contrast. The kinematic contribution yields a closed-form variance expression, similar to that in laser speckle …