Beautification of Islamic Patterns via Constraint Satisfaction

Year: 2016 Authors: Yongquan Lu; Erik D. Demaine

Core claim

Hand-drawn Islamic geometric patterns can be beautified by converting user-specified constraints into an optimization problem over control points.

Topics

Islamic star patterns, geometric constraints, numerical optimization, pattern beautification

Domains

geometry, constraint satisfaction, nonlinear optimization, Islamic geometric design, digital craft, pattern design, CAD-inspired design

Methods

geometric penalty functions, control-point optimization, Powell’s method, electrostatic repulsion correction

Media

hand-drawn patterns, polygonal tiles, Sliceform Studio, line segments

Source status

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