Designing 2D Ordinary Differential Equations To Obtain Abstract Paintings, Illustrations and Animations

Year: 2015 Authors: Ergun Akleman; Hüseyin Koçak

Core claim

Implicit curves can be turned into attractive orbits by mixing gradient and tangent vector fields, enabling controllable artistic flows in 2D.

Topics

ordinary differential equations, implicit curves, particle motion, abstract art, animation

Domains

dynamical systems, vector fields, implicit functions, gradient fields, tangent fields, generative art, abstract painting, illustration

Methods

vector field design, weighted field mixture, particle simulation, implicit curve modeling

Media

photographs, 2D particles, brush strokes, digital animations

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.