Super-resolution surface reconstruction from few low-resolution slices

In many imaging applications where segmented features (e.g. blood vessels) are further used for other numerical simulations finite element analysis), the obtained surfaces do not have fine resolutions suitable task. Increasing resolution of such becomes crucial. This paper proposes a new variational model solving this problem, based on an Euler-Elastica-based regulariser. Further, we propose and implement two algorithms model, projected gradient descent method alternating direction multipliers. Numerical experiments using real-life examples (including from outputs another model) been illustrated effectiveness. The advantages shown through quantitative comparisons by standard deviation Gaussian curvatures mean viewpoint discrete geometry.