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Functional Image Synthesis

Functional Image Synthesis. Pan. An image synthesis “language” Images are functions Continuous and infinite Embedded in a functional host language Reusable optimizing compiler. Examples. What’s an image?. Assignment of color to points: R 2  Color

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Functional Image Synthesis

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  1. Functional Image Synthesis

  2. Pan • An image synthesis “language” • Images are functions • Continuous and infinite • Embedded in a functional host language • Reusable optimizing compiler

  3. Examples

  4. What’s an image? • Assignment of color to points: R2  Color • Infinite, but color may be transparent • Useful generalization: R2 a

  5. Expressing functions • Use l-calculus (Church, Curry, etc): • Or, non-anonymously: • Currying isomorphism: (ab)  ga  (b  g ) Good for partial application

  6. Spatial transforms

  7. Images

  8. Higher-order functions Apply filter “about” a point:

  9. Examples

  10. Programming example

  11. Another

  12. Some details

  13. Another

  14. Implementation • An “embedded language”, but compiled. • Programs manipulate expression trees. • Almost transparent, via overloading. • Automatic full inlining. • Simplification via smart constructors. • First-order CSE and loop hoisting. • Easy to reuse for new “language”.

  15. More examples

  16. Conclusions • Modular & efficient image synthesis • DSL design & implementation technique: • Simple, computable semantics • Embed in functional host language • Reusable optimizer & code generator • To try: sound, 3D, … • Freely available – try it out: http://research.microsoft.com/~conal/pan

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