iphone - Calculating the cells contained inside a rectangle on an Isometric Grid -

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consider given isometric grid (consider diablo) of tiles. have measures grid, grid height, grid width , tile height/width. (consider image: http://2.bp.blogspot.com/_bazwykf2fdm/si2gbwd7kji/aaaaaaaabvw/bcb-eamgez4/s1600-h/isometric_grid). center cell of grid 0,0 extending iso-north (+y), iso-south(-y), iso-east(+x), iso-west(-x).

let's draw rectangle @ arbitrary location on grid. not have isometric positions rectangle, rather have normal draw coordinates grid top left hand corner 0,0 , south y+, right x+.

if had top, left, height, width of rectangle in question - how calculate array of iso-cells crossed bottom edge of rectangle.

any language choose demonstrate suffice.

in papers , books isometric programming (isometric programming direct x7, yes old gives overview problems , techniques) use mousemaps.

also there technique render area of map covered rectangle image, each tile gets unique color (and color rendered). afterwards check colors in image , extract list of tiles.

since using classic isometric tile width half height there mathematical solution too. unfortunatly suggested algorithm depend heavily on map layout.

the code java based tilesystem can found here


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