Systems and methods for generating a three-dimensional surface from a segmented volume

A computing device for generating a three-dimensional surface from a segmented volume including a plurality of voxels, the segmented volume divided into a plurality of overlapping cells that each include a plurality of neighboring voxels, the computing device comprising:

• a memory device;
• and
• a processor communicatively coupled to the memory device, the processor configured to:
• execute a first pass over the plurality of cells to generate a list of active cells;
• execute 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, each of the plurality of points located within a corresponding active cell;
• execute 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 of the plurality of points, 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;
• and
• display, on the computing device, the smoothed mesh.

Non-transitory computer-readable media having computer-executable instructions thereon, wherein when executed by a processor of a computing device, cause the processor of the computing device to:

• execute a first pass over a plurality of overlapping cells in a segmented volume to generate a list of active cells, each cell including a plurality of neighboring voxels;
• execute 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, each of the plurality of points located within a corresponding active cell;
• execute 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 of the plurality of points, 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;
• and
• display, on the computing device, the smoothed mesh.