Many applications including object reconstruction, robot guidance, and scene mapping require the registration of multiple views from a scene to generate a complete geometric and appearance model of it. In real situations, transformations between views are unknown an it is necessary to apply expert inference to estimate them. In the last few years, the emergence of low-cost depth-sensing cameras has strengthened the research on this topic, motivating a plethora of new applications. Although they have enough resolution and accuracy for many applications, some situations may not be solved with general state-of-the-art registration methods due to the Signal-to-Noise ratio (SNR) and the resolution of the data provided. The problem of working with low SNR data, in general terms, may appear in any 3D system, then it is necessary to propose novel solutions in this aspect. In this paper, we propose a method, µ-MAR, able to both coarse and fine register sets of 3D points provided by low-cost depth-sensing cameras, despite it is not restricted to these sensors, into a * Corresponding author * * Principal corresponding author Email addresses: msaval@dtic.ua.es (Marcelo Saval-Calvo), jazorin@dtic.ua.es (Jorge Azorín-López), fuster@dtic.ua.es (Andrés Fuster-Guilló), hmora@dtic.ua.es The results show the good performance of the µ-MAR to register objects with high accuracy in presence of noisy data outperforming the existing methods.