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Procedural band patterns

We seek to cover a parametric domain with a set of evenly spaced bands which number and widthvaries according to a density field. We propose an implicit procedural algorithm, that generates theband pattern from a pixel shader and adapts to changes to the control fields in real time. Each band isuniquely identified by an integer. This allows a wide range of texturing effects, including specifying adifferent appearance in each individual bands. Our technique also affords for progressive gradationsof scales, avoiding the abrupt doubling of the number of lines of typical subdivision approaches. Thisleads to a general approach for drawing bands, drawing splitting and merging curves, and drawingevenly spaced streamlines. Using these base ingredients, we demonstrate a wide variety of texturingeffects.