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In this work, we propose an automatic mesh generation algorithm, FlowMesher,which can be used to generate unstructured meshes for mesh domains in any shapewith minimum (or even no) user intervention. The approach can generatehigh-quality simplex meshes directly from scanned images in OBJ format in 2Dand 3D or just from a line drawing in 2-D. Mesh grading can be easilycontrolled also. The FlowMesher is robust and easy to be implemented and isuseful for a variety of applications including surgical simulators.  The core idea of the FlowMesher is that a mesh domain is considered as an"airtight container" into which fluid particles are "injected" at one ormultiple selected interior points. The particles repel each other and occupythe whole domain somewhat like blowing up a balloon. When the container is fullof fluid particles and the flow is stopped, a Delaunay triangulation algorithmis employed to link the fluid particles together to generate an unstructuredmesh (which is then optimized using a combination of automated mesh smoothingand element removal in 3D). The performance of the FlowMesher is demonstratedby generating meshes for several 2D and 3D mesh domains including a scannedimage of a bone.

FlowMesher: An automatic unstructured mesh generation algorithm with applications from finite element analysis to medical simulations