Fast and Accurate Redistancing by Directional Optimization

Matt Elsey, Selim Esedoḡlu
2014 SIAM Journal on Scientific Computing  
A fast and accurate algorithm for the reinitialization of the signed distance function in two and three spatial dimensions is presented. The algorithm has computational complexity O(N log N ) for the reinitialization of N grid points. The order of accuracy of the reinitialization is demonstrated to depend primarily on the interpolation algorithm used. Bicubic interpolation is demonstrated to result in fourth-order accuracy for smooth interfaces. Simple numerical examples demonstrating the
more » ... gence and computational complexity of the reinitialization algorithm in two and three dimensions are presented as verification of the algorithm.
doi:10.1137/120889447 fatcat:r2cwswye4zcs5el4rooznlceai