Shape Design of Magnetic Circuit of the Magnetic Lens Based on Medial Axis Transform

Micron ◽  
2021 ◽  
pp. 103057
Author(s):  
He Chen ◽  
Quanlin Dong ◽  
Xiaomeng Liu ◽  
Zhibing Li
Keyword(s):  
Magnetic Circuit ◽  
Medial Axis ◽  
Shape Design ◽  
Medial Axis Transform ◽  
Magnetic Lens

Medial Axis Transform Method for Shape Design of Hub and Shroud Contours of Impellers

2011 ◽  
Vol 133 (3) ◽  
Author(s):  
Pengfei Wang ◽  
Xiaodong Ruan ◽  
Jun Zou ◽  
Xin Fu
Keyword(s):  
Cross Section ◽  
Medial Axis ◽  
Additional Constraint ◽  
Shape Design ◽  
Medial Axis Transform ◽  
Transform Method ◽  
Curvature Equation ◽  
Cross Section Area ◽  
Section Area ◽  
Novel Method

A novel method of designing hub and shroud contours is presented. The method, based on the medial axis transform theory in differential geometry, gives a uniform description of hub and shroud contours and the formula of cross section area. Through solving the formula of cross section area with an additional constraint, the hub and shroud contours can be determined numerically. The constraint is exposed through a curvature equation, which allows the medial axis or hub (shroud) contour to be a certain form. Using this method, various optimization criteria relating to the cross section area can be conveniently introduced into the design.

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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