Painting with Flowsnakes

dc.contributor.authorWyvill, Brianen_US
dc.contributor.editorPaul L. Rosinen_US
dc.date.accessioned2015-06-22T07:12:10Z
dc.date.available2015-06-22T07:12:10Z
dc.date.issued2015en_US
dc.description.abstractSpace filling curves, invented by mathematicians in the 19th century, have long been a fascination for artists, however there are no interactive tools to allow an artist to create and explore various levels of recursion of the curve in different parts of the artwork. In this work a new type of painting tool for artists is introduced, which gives the artist control over the very base of a space filling curve, i.e recursive subdivision. Although there are many such curves that would lend themselves to this treatment, the Flowsnake (Gosper) curve has been chosen in this work, mainly for its aesthetics. The curve is based on a hexagonal grid, and in our system hexagons are subdivided at the artist's touch in a non-homogeneous manner, leaving a trail that forms the space filling curve. Some tools are introduced for controlling the painting, such as limiting the depth of recursion, and the 'slow brush', which interpolates slowly between subdivisions to allow the artist to stop at a chosen level. A set of space filling curve brush types provide different shapes and profiles, for giving the artist control of the nonhomogeneous subdivision, including the ability to un-subdivide the hexagons. An algorithm for drawing the curve non-recursively is introduced in order to produce a polyline suitable for processing on the GPU to make the system function at interactive rates. An animated version of the image can be made by replaying the subdivisions from the first level. Some examples made by art students and graduates are shown, along with the artist's comments on the system.en_US
dc.description.sectionheadersSynthesisen_US
dc.description.seriesinformationComputational Aestheticsen_US
dc.identifier.doi10.2312/exp.20151190en_US
dc.identifier.pages171-182en_US
dc.identifier.urihttps://doi.org/10.2312/exp.20151190en_US
dc.publisherThe Eurographics Associationen_US
dc.subjectI.3.3 [Computer Graphics]en_US
dc.subjectPicture/Image Generationen_US
dc.subjectLine and curve generationen_US
dc.titlePainting with Flowsnakesen_US
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