Abstract Shape Synthesis From Linear Combinations of Clelia Curves

Parametric curve and surface models; Applied computing --> Media arts -->
Popis souboru: application/pdf
Jazyk: English
ISBN: 978-3-03868-078-9
Přístupová URL adresa: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e74b9c366cd5a88605e545f2ba305cff
https://research.gold.ac.uk/id/eprint/27622/1/cleliaCurvesExp19rev.pdf
Rights: OPEN
Přírůstkové číslo: edsair.doi.dedup.....e74b9c366cd5a88605e545f2ba305cff
Autor: Putnam, Lance, Todd, Stephen, Latham, William
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Popis: This 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.
ACM/EG Expressive Symposium
Fancy Shapes
87
99
Lance Putnam, Stephen Todd, and William Latham
CCS Concepts: Computing methodologies --> Parametric curve and surface models; Applied computing --> Media arts
Databáze: OpenAIRE