While the influence of the component strength on the structural behaviour of Historic Masonry Structures (HMS)
is relatively well studied, few studies have investigated masonry textures. Such a research gap is due to the actual
difficulty of finding parameters that correlate masonry patterns and structural performances. This paper presents
a comprehensive review of the existing geometric measures for irregular masonry patterns, highlighting the gaps
and possible future trends. Special attention is paid to the Non-destructive Tests (NDT) for surveying masonry
textures and algorithms to generate block-based numerical models artificially. Finally, a numerical investigation
underlines how masonry textures generated considering quality indexes present more consistent results.