01814nas a2200217   4500008004100000020002200041245008300063210006900146260004500215300001200260520102200272100002001294700001901314700002301333700002201356700002301378700002401401700002801425700002401453856011901477       2011                        eng d  a978-3-642-21072-300aA family of topology-preserving 3d parallel 6-subiteration thinning algorithms0 afamily of topologypreserving 3d parallel 6subiteration thinning   aMadrid, SpainbSpringer VerlagcMay 2011  a17 - 303 a<p>Thinning is an iterative layer-by-layer erosion until only the skeleton-like shape features of the objects are left. This paper presents a family of new 3D parallel thinning algorithms that are based on our new sufficient conditions for 3D parallel reduction operators to preserve topology. The strategy which is used is called subiteration-based: each iteration step is composed of six parallel reduction operators according to the six main directions in 3D. The major contributions of this paper are: 1) Some new sufficient conditions for topology preserving parallel reductions are introduced. 2) A new 6-subiteration thinning scheme is proposed. Its topological correctness is guaranteed, since its deletion rules are derived from our sufficient conditions for topology preservation. 3) The proposed thinning scheme with different characterizations of endpoints yields various new algorithms for extracting centerlines and medial surfaces from 3D binary pictures. © 2011 Springer-Verlag Berlin Heidelberg.</p>1 aNémeth, Gábor1 aKardos, Péter1 aPalágyi, Kálmán1 aAggarwal, Jake, K1 aBarneva, Reneta, P1 aBrimkov, Valentin E1 aKoroutchev, Kostadin, N1 aKorutcheva, Elka, R  uhttps://inf.u-szeged.hu/publication/a-family-of-topology-preserving-3d-parallel-6-subiteration-thinning-algorithms