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← Book contents

Part I — Education

Education

  • Preface
Part I — Education

Parametric Curves & Tessellation

  • Ch. 1 — Parametric Geometry and Collision-Driven Motion
  • Ch. 2 — Voronoi Tessellation and Adaptive Sampling

Learned Visual & Auditory Representations

  • Ch. 3 — Neural Style Transfer: Separating Content and Style
  • Ch. 4 — Coordinate Networks and CPPNs: Audio-Conditioned Image Generation
  • Ch. 5 — Random-Walk Painting with Neural Guidance
  • Ch. 6 — Style Transfer Meets Voronoi Geometry

Optimization-Based Reconstruction

  • Ch. 7 — Greedy Optimization and String Art
  • Ch. 8 — The Travelling Salesman Problem as a Drawing Tool
  • Ch. 9 — Algorithmic Photo Collage
Part II — Creation
  • Ch. 10 — Cellular Impressions
  • Ch. 11 — Inner Landscapes
  • Ch. 12 — Paper Marbling
Part III — Exploration
  • Ch. 13 — VoroLight: Learning Voronoi Surface Meshes via Sphere Intersection
  • Ch. 14 — Birth of a Painting: Differentiable Brushstroke Reconstruction
  • Bibliography

Starting with the fundamentals, we explore a variety of quantitative methods used to create visual and auditory art. Each chapter introduces a mathematical concept and provides the background needed to understand the underlying technical idea. Along the way, we connect theory with real-world applications, highlighting how these concepts are used in industry. Follow the tutorials to gain a deeper understanding of the mathematics and code behind each technique.

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Math+Code+Art UCLA Mathematics · Education · Creation · Exploration
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