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Image Abstraction

Image Abstraction. Chunsong Wang. Image Abstraction: Main Problem. How to decrease the complexity of the scene while protecting important structures?. Mean Curvature Flow. View Image I( x,y ) as a height field, we are able to draw contours of the same color value( isophote ).

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Image Abstraction

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  1. Image Abstraction Chunsong Wang

  2. Image Abstraction: Main Problem • How to decrease the complexity of the scene while protecting important structures?

  3. Mean Curvature Flow • View Image I(x,y) as a height field, we are able to draw contours of the same color value(isophote). • Mean Curvature flow(MCF): Smooth the curvatures, high-curvature portion is smoothed faster

  4. MCF: Evolution Equation • Evolution Equation: • Where κ= local isophote curvature

  5. MCF: Evolution

  6. Shock Filtering • Edge Enhancement: • Filtering with Laplacian-of Gaussian function

  7. Constrained mean curvature flow • MCF+Shock filtering: still too aggressive • Tangent vector Field(TVF): denotes ‘desired’ feature direction

  8. CMCF: Evolution Equation • Evolution Equation: Where Where denotes the vector perpendicular to

  9. CMCF: Algorithm

  10. Incorporating user input

  11. Weighted Map

  12. Layered Map

  13. Layered Map

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