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Advection-Based Function Matching on Surfaces
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
A tangent vector field on a surface is the generator of a smooth family of maps from the surface to itself, known as the flow. Given a scalar function on the surface, it can be transported, or advected, by composing it ...
Iterative Closest Conformal Maps between Planar Domains
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
Conformal maps between planar domains are an important tool in geometry processing, used for shape deformation and image warping. The Riemann mapping theorem guarantees that there exists a conformal map between any two ...
Hele-Shaw Flow Simulation with Interactive Control using Complex Barycentric Coordinates
(The Eurographics Association, 2016)
Hele-Shaw flow describes the slow flow of a viscous liquid between two parallel plates separated by a small gap. In some configurations such a flow generates instabilities known as Saffman-Taylor fingers, which form intricate ...