Systems and methods for generating a three-dimensional surface from a segmented volume including a plurality of voxels are provided. The method includes executing a first pass over a plurality of cells to generate a list of active cells, and executing a second pass over the plurality of active cells to generate a quadrilateral mesh, the quadrilateral mesh including a plurality of points that define a plurality of quadrilaterals. The method further includes executing at least one additional pass over the quadrilateral mesh to generate a smoothed mesh, wherein executing the at least one additional pass includes computing, for at least one point, a balanced curvature for the at least one point based on curvatures at points that neighbor the at least one point and moving the at least one point to a new location based on the computed balanced curvature. The method further includes displaying the smoothed mesh.