Image AbstractionChunsong 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

MCF: Evolution

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

CMCF: Algorithm

Incorporating user input

Weighted Map

Layered Map

Layered Map