Periodicity and pattern size detection for quality improvement of the patch-based structural texture synthesis

The texture is the surface property that contains the repetition of patterns. One iteration of a pattern is called the texel. The regularity in the texels and texel's placement defines the texture classification as regular/structural or non-regular/random texture. The pattern size as well as the periodicity of textures is derived from the Brodatz album. The correlation between two adjacent patches is calculated instead of the autocorrelation of the whole texture image. The patch size is varied each time. If patch size matches with pattern size or its multiples, the correlation value is at peak. Repeated occurrences of correlation peaks, variation in peak correlation values, and strength of peak correlation values decide the periodicity of texture. Out of 112 textures of Brodatz album, 60 textures have a periodicity of more than 60%. The synthesised structural texture's quality is much improved when patches of pattern size are used instead of using patches of random size. The structural similarity of synthesised texture is increased from 0.0947 to 0.4142.