Corrigendum 1: A quadtree medial axis transform by Hanan Samet. Commun. ACM 26, 9 (Sept. 1983), 680-692

1984 ◽  
Vol 27 (2) ◽  
Author(s):  
Hanan Samet
Keyword(s):  
Medial Axis ◽  
Medial Axis Transform

Shape Interrogation by Medial Axis Transform

1990 ◽  
Author(s):  
N. M. Patrikalakis ◽  
H. N. Gursoy
Keyword(s):  
Finite Element ◽  
Medial Axis ◽  
Multiply Connected Domains ◽  
Medial Axis Transform ◽  
Curved Boundaries ◽  
Multiply Connected ◽  
Maximum Thickness ◽  
Surface Patches ◽  
Geometric Representations ◽  
Shape Characteristics

Abstract In this paper we develop a new interrogation method based on the medial axis transform to extract some important global shape characteristics from geometric representations. These shape characteristics include constrictions, maximum thickness points, and associated length scales; isolation of holes and their proximity information; and a set of topologically simple subdomains decomposing a complex domain. The algorithm we develop to compute the medial axis transform of planar multiply connected shapes with curved boundaries can automatically identify these characteristics. Higher level algorithms for generation of finite element meshes of planar multiply connected domains, adaptive triangulation and approximation of trimmed curved surface patches and other engineering applications using the medial axis transform are also discussed.

P2MAT-NET: Learning medial axis transform from sparse point clouds

2020 ◽  
Vol 80 ◽  
pp. 101874
Author(s):  
Baorong Yang ◽  
Junfeng Yao ◽  
Bin Wang ◽  
Jianwei Hu ◽  
Yiling Pan ◽  
...  
Keyword(s):  
Medial Axis ◽  
Point Clouds ◽  
Medial Axis Transform
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