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Interactive Paper Marbling
Background and Implementation
Nick Walker December 12, 2016
Interactive Paper Marbling 0 Various marbling operations - - PowerPoint PPT Presentation
Interactive Paper Marbling 0 Various marbling operations - - PowerPoint PPT Presentation
Nick Walker Background and Implementation December 12, 2016 Interactive Paper Marbling 0 Various marbling operations Real-time displacement field preview Interactive rendering Image output Scripting 1 Mathematical
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Mathematical Marbling
Interactive Javascript application
- Various marbling operations
- Real-time displacement field preview
- Interactive rendering
- Image output
- Scripting
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Mathematical Marbling
Operations
- Drop
- Tine line
- Tine circle
- Wavy comb
- Vortex
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Example Operation
p = [ x y ] T : R2 → R2 T(p|s) = [ s ]
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Sample Operation
Line Tine
- Displaces proportional to distance from
line with origin c and direction d
- Falloff controlled by α and λ
α, λ ∈ R+ L(p|c, d, α, λ) = αλ d + λ ˆ d d = ∥(p − c)⊤ˆ c∥
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Demo
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marblizer.nickwalker.us
Source at github.com/nickswalker/marblizer
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References I
- S. Lu, A. Jaffer, X. Jin, H. Zhao, and X. Mao.
Mathematical marbling. IEEE Computer Graphics and Applications, 32(6):26–35, 2012.