In this paper, two aims are sought. First, the path to a minimum-error colour calibration and its feasibility for non-invasive cultural heritage conservation is explored. Using RGB information as temporal cues of the conservation state of the pieces under monitoring, an adaptive calibration function, working in syntony with a colour calibration chart destined to general usage, has been proposed. Since the context involves citizen participation, the pictures to calibrate are crowdsourced and the cameras of origin unknown; therefore, the requirements of the work context assume images that imply a heavy colorimetric uncertainty whilst maintaining their structural content. Therefore,a differentiable, multidimensional, adaptive transfer curve that offers the best trade-off between calibration error (staying in minimum perceivable colour differences for tangible materials) and calculation requirements is refined. The conception of this system offers flexible possibilities of an effective cultural heritage conservation without heavy costs on money and human effort or relying on external solutions, while standing on par in quality with state-of-art technologies, achieving therefore a balance between generalist usage and specific solutions. Secondly, a neural network-based final process performs the final tuning of the calibration functions, and its conclusions shed light on how a calibration process works together with the colour chart on an algebraic level. The verification of this phenomenon opens possibilities of different paths on how to proceed with colour calibrations depending on the conditions of acquisition and the content of interest, so the minimum error can be always achieved regardless of the case. The ideas presented here are an expansion and conclusion of the developments and results previously published by the same authors.