Lineart

From wikiluntti

Introduction

String art

  • Radon transform (inverse of)
  • 2d FFT
  • Optimization

Radon Transform

The sum of the intensities in each direction (a line integral).

The new image will be

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R(\rho, \theta) = \int \it f(x,y) \delta( \rho - x \cos\theta + y \sin\theta) dx dy}

Video: The Mathematics of String Art

White canvas Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle R} with Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle N} nails around the circumference.

References