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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 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). • Mean Curvature flow(MCF): Smooth the curvatures, high-curvature portion is smoothed faster
MCF: Evolution Equation • Evolution Equation: • Where κ= local isophote curvature
Shock Filtering • Edge Enhancement: • Filtering with Laplacian-of Gaussian function
Constrained mean curvature flow • MCF+Shock filtering: still too aggressive • Tangent vector Field(TVF): denotes ‘desired’ feature direction
CMCF: Evolution Equation • Evolution Equation: Where Where denotes the vector perpendicular to