scholarly journals Spline-based medial axis transform representation of binary images

2021 ◽  
Author(s):  
Jieying Wang ◽  
Jiří Kosinka ◽  
Alexandru Telea
Keyword(s):  
Medial Axis ◽  
Medial Axis Transform ◽  
Binary Images

Constructing medial axis transform of planar domains with curved boundaries

2003 ◽  
Vol 35 (7) ◽  
pp. 619-632 ◽  
Author(s):  
M. Ramanathan ◽  
B. Gurumoorthy
Keyword(s):  
Medial Axis ◽  
Medial Axis Transform ◽  
Curved Boundaries ◽  
Planar Domains

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.

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