WPGeneratorDev

Matlab code for wallpaper generation

Instructions for running: To generate the wallpers, run generateWPTImages_multi.m or generateWPTImages_multi(groupNames,nGroups,tileSize,outDir)

Default values for the arguments:

• groupNames = {'P1', 'P2', 'PM' ,'PG', 'CM', 'PMM', 'PMG', 'PGG', 'CMM', 'P4', 'P4M', 'P4G', 'P3', 'P3M1', 'P31M', 'P6', 'P6M'};
• nGroups = 10 -- number of exemplars per group;
• tileSize = 100 -- the area of a smallest repeating tile in pixels;
• outDir = '~/Desktop/WPSet' -- directory where images are saved.

Default image size wpSize is 600 pixels.

Wallpaper generation pipeline

Function image = new_SymmetricNoise(type, N, n, optTexture) generates a single wallpaper exemplar. Arguments: type -- wallpaper type; N -- the size of the output image (for complex groups returned image will have size at least NxN); n -- the size of repeating pattern for all groups; optTexture -- optional base texture.

For most of the group types, generation is done within the switch block. Groups 'P3', 'P3M1', 'P31M', 'P6', 'P6M' are generated by separate scripts. Repeating tile area is kept constant for all groups, we achieve it by cutting out the templates of a different sizes from fundamental region.

Tile sizes by groups	fundamental region	repeating tile	square ratio	width ratio
P1:	(n, n)	(n, n)	1	1
P2:	(n, n)	(n, 2n)	2	0.5
PM, PG:	(n, n)	(2n, n)	2	1
PMG, PMM, P4, P4M:	(n, n)	(2n, 2n)	4	0.5
PGG:	(n, 2n)	(2n, 2n)	4	0.5
CM:	(n, n)	(n, 2n)	2	0.25
P4G:	(n, 2n)	(4n, 4n)	16	0.25
CMM:	(n, n)	(4n, 4n)	16	0.25
P3:	(n, n)	(3n, n $\sqrt{3}$)	3 $\sqrt{3}$	1/ $\sqrt{3}$
P31M: s = round(n*2.632);	(s, s)	(3s, s $\sqrt{3}$)	$ 3s^2\sqrt{3}$ /n^2$	1/(2.632 $\sqrt{3}$)
P3M1, P6, P6M:	(s, s)	(s, s $\sqrt{3}$)	$ s^2 \sqrt{3} /n^2 $	1/(2.632 $\sqrt{3}$)

Post-processing

Raw wallpapers generated by new_SymmetricNoise.m are averaged within the group, each is lowpass-filtered and masked (circle).