@article {31725,
	title = {Boundary recovery after 3D Delaunay tetrahedralization without adding extra nodes},
	journal = {International Journal for Numerical Methods in EngineeringInternational Journal for Numerical Methods in Engineering},
	volume = {72},
	number = {6},
	year = {2007},
	note = {229fiTimes Cited:13Cited References Count:26},
	month = {Nov 5},
	pages = {744-756},
	chapter = {744},
	abstract = {In this paper, we investigate boundary recovery, the problem that has troubled researchers ever since Delaunay-based methods were applied to generate mesh. There are a number of algorithms for boundary recovery already and most of them depend heavily on adding extra nodes. In this paper, we make an effort to seek a method to recover boundaries without using extra nodes.It was noted that some previous algorithms imposed artificial boundary constraints on a meshing problem at the recovering stage; we first try to discard these artificial constraints and thus make things easier. Then a new method is proposed by which the boundaries can be recovered by means of two operations: (1) creating a segment in the mesh and (2) removing a segment from the mesh. Both operations are special cases of a general local transformation called small polyhedron reconnection operation. The method works well when coupled with the sphere-packing method proposed by the first author. If the mesh sizing function is suitable, a good configuration of nodes will be created accordingly by the sphere-packing method and the boundary can be recovered by the local transformation presented here without inserting extra nodes. Copyright (c) 2007 John Wiley \&amp; Sons, Ltd.},
	keywords = {boundary recovery, bubble packing method, delaunay tetrahedralization, finite-element mesh, generation, local transformation, polyhedron, size, sphere packing, spr operation, strategy, triangulation},
	isbn = {0029598110970207},
	author = {Liu, Jianfei and Bin Chen and Yongqiang Chen}
}
