Abstract Shape Synthesis From Linear Combinations of Clelia Curves

dc.contributor.authorPutnam, Lanceen_US
dc.contributor.authorTodd, Stephenen_US
dc.contributor.authorLatham, Williamen_US
dc.contributor.editorKaplan, Craig S. and Forbes, Angus and DiVerdi, Stephenen_US
dc.date.accessioned2019-05-20T09:50:04Z
dc.date.available2019-05-20T09:50:04Z
dc.date.issued2019
dc.description.abstractThis article outlines several families of shapes that can be produced from a linear combination of Clelia curves. We present parameters required to generate a single curve that traces out a large variety of shapes with controllable axial symmetries. Several families of shapes emerge from the equation that provide a productive means by which to explore the parameter space. The mathematics involves only arithmetic and trigonometry making it accessible to those with only the most basic mathematical background. We outline formulas for producing basic shapes, such as cones, cylinders, and tori, as well as more complex families of shapes having non-trivial symmetries. This work is of interest to computational artists and designers as the curves can be constrained to exhibit specific types of shape motifs while still permitting a liberal amount of room for exploring variations on those shapes.en_US
dc.description.sectionheadersFancy Shapes
dc.description.seriesinformationACM/EG Expressive Symposium
dc.identifier.doi10.2312/exp.20191080
dc.identifier.isbn978-3-03868-078-9
dc.identifier.pages87-99
dc.identifier.urihttps://doi.org/10.2312/exp.20191080
dc.identifier.urihttps://diglib.eg.org:443/handle/10.2312/exp20191080
dc.publisherThe Eurographics Associationen_US
dc.subjectComputing methodologies
dc.subjectParametric curve and surface models
dc.subjectApplied computing
dc.subjectMedia arts
dc.titleAbstract Shape Synthesis From Linear Combinations of Clelia Curvesen_US
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