Generating a “3D” Image from One Continuous 2D Curve

Year: 2014 Authors: Mayer D. Schwartz

Core claim

Placing consistently shaped, partially opaque plates along a continuous 2D curve can generate a convincing “3D” image, especially after contrast adjustment and Möbius-based shaping.

Topics

parametric curves, 3D illusion, conformal mapping, opacity layering, digital image generation

Domains

calculus, differential geometry, numerical integration, complex analysis, generative art, visual design, digital composition, image shading

Methods

Mathematica experimentation, Simpson’s rule, plate overlap layering, Möbius transformation, contrast curve

Media

2D parametric curves, hexagonal plates, RGB color, opacity, digital images

Source status

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