I would like to know how to make straight textures using 2D noise, to make stone squares of irregular sizes all jointed together (same as pic1): If there is a mathematical way to quantize 2D noise into orthogonal straight noise or jointed stone squares, please tell me the trick! (for a graphics shader brick wall texture generator)
if it is a mathematical impossibility, please tell me why?
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You could try using 2D noise, but sampling adjacent points as though it was 1D noise, getting a series of strips of values. Then break those values into discrete groups, and whenever you run into a difference in group number, there's your break between bricks. And you would always have breaks between each horizontal strips.
To make a procedural 2d/3d similar to square stones, it would be easier to use a voronoi base, because it is already the concept of cells... if each cell has square borders it will make 2d/3d square cells.
voronoi compares the proximity of pixels to central points around it, it makes lines tangent to the points, as cell borders. i am not sure how to make them 90 degrees, but there must be a way.