Coastal bathymetry from sparse level curves

We consider the problem of interpolating between coastlines for near-shore bathymetric estimation. Standard interpolation methods tend to result in over-smoothed coastlines, as shown by comparing the fractal numbers of known and interpolated level curves. We propose an interpolation algorithm based on anisotropic diffusion between corresponding points on coastlines. We compare the efficacy of our algorithm to other interpolation methods on synthetic coastline data.