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Maintaining sharp features in surface construction for volumetric objects

Explore methods for maintaining sharp features on surfaces of volumetric objects to improve geometric accuracy. Discuss state-of-the-art techniques such as Discrete Marching Cubes while addressing aliasing issues and modeling errors. Implement object-priority models for better surface configurations at subcell levels. Highlight application-dependent strategies and feature detection for achieving sharp geometry with improved topology.

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Maintaining sharp features in surface construction for volumetric objects

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  1. Maintaining sharp features insurface construction forvolumetric objects By Eddy Loke & Erik Jansen Kindly presented by Joris Vergeest

  2. Motivation: object sharpness Improve geometric accuracy at straight and diagonal edges/corners

  3. State of the art: Discrete Marching Cubes (Montani et al.) Surface configurations at cell level •  Introduces unwanted aliasing  • Cuts off sharp object features  • Modeling error 

  4. Underlying DMC model at subcell level: Background-priority model (Loke et al.) defines DMC surface configurations at subcell level  Topological equivalency   Modeling simplicity   Much smaller LUT  Example: split up 1 DMC cell 8 subcells

  5. Derive concave modeling variants move surface inwards object

  6. Derive convex modeling variants hybrid surfacing (varying connectivity) move surface outwards object Object-priority model (Kenmochi et al.) Background-priority model (DMC)

  7. Implementation issues • Subgrid interpolation & extrapolation • Feature detection Application dependent Use available automatic edge and corner detection methods in 3D

  8. Examples  Sharp geometry 

  9. Examples  Sharp geometry with improved topology 

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