Smooth Self-Similar Curves

Year: 2011 Authors: Craig S. Kaplan

Core claim

Smooth curves can support iterated self-similar construction through tangent-and-normal-based hoisting, without requiring piecewise linear segments.

Topics

fractal curves, self-similarity, curve hoisting, aesthetic design

Domains

Iterated Function Systems, C1 immersions, arclength parameterization, mathematical art, curve-based design, planar path aesthetics

Methods

tangent-normal coordinate frames, recursive substitution, numerical approximation

Media

software tool, planar curves, filled path renderings

Source status

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