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Advanced Tools for Dimensional Reduction and Entity Representation in 3D Modeling

This outline explores complex processes for reducing dimensionality in multi-dimensional data sets, focusing on techniques like union, difference, and Cartesian product within a 3D space. It delves into state changes, notification systems, and selection controllers for managing entity representations effectively. The involvement of various translation tools and scripting languages enriches the context, highlighting functions that define entities in specified regions and their contours. Insights into API registration, serialization, and the adaptation of different modeling methods are also discussed, effectively framing a robust approach to 3D modeling.

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Advanced Tools for Dimensional Reduction and Entity Representation in 3D Modeling

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  1. v3 f3 e4 e1 f4 v4 e2 v1 e5 e6 f1 e3 v2 f2

  2. + - - + + + -

  3. union difference

  4. Y X

  5. X Z

  6. Y X Z

  7. - - + + X

  8. - - + + Y

  9. Cartesian product 3D (X,Z) X (Y) Reduce dimensionality Z→X X→Y Reduce dimensionality Y→X

  10. p=0.1 p=1 r=3 r=1 r=0.25 x

  11. Model State change State query State notification Selection Controller View Selection

  12. FRep Model FRep API State change State query State notification Selection Controller View Selection

  13. f(x,y)= 22 - x2 - y2 Y Внутренняя область f(x,y)>0 Контур/ поверхность f(x,y)=0 f(0,0)=4 f(2,0)=0 X f(2,-2)=-4 f(3,-3)=-14

  14. Y Y X T Y X T

  15. Y Y Y Y t=0.1 t=0.2 t=0.3 t=0.4 X X X X Y Y Y Y t=0.5 t=0.7 t=0.9 t=1 X X X X

  16. a: F=-2 a b c d e b: F=-1 c: F=0 d: F=1 e: F=2 f: F=3 g: F=3 g a b c d e f

  17. Entity description Generic translator FRep AST Intermediate translator … Serialization UI Application specific

  18. CUDA translator Scripting language translator C++ FRep API translator LLVM translator FRep AST Maya translator Other translators Others translators

  19. FRep AST Serialization(s) code generation API registration FRep API C++ translator High-level API code generation API parameter description Low-level API code generation Test code generation

  20. FRep AST Plug-in registration Maya translator Maya scripting language DG Node UI DG node code gen.

  21. Coordinates (Coordinates) Result FRep entity FRep entity FRep entity … … … FRep entity FRep entity (Coordinates)

  22. (Coordinates) Coordinates (Coordinates) Result FRep entity FRep entity FRep entity … … … (Coordinates) FRep entity FRep entity

  23. Coordinates: P P FRep entity 1 P1 P1 P1 FRep entity 2 FRep entity K … P2 PK Phase 1 … … FRep entity L FRep entity M PL PM FRep entity N FRep entity P

  24. Coordinates:P P V Result: V V1 FRep entity 1 P1 P1 V2 VK P1 FRep entity 2 FRep entity K … P2 PK Phase 2 … … VL VM FRep entity L FRep entity M PL VN PM VP FRep entity N FRep entity P

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