Analysis of elliptic conductors using the point matching method with Mathieu functions

1997 ◽  
Vol 33 (5) ◽  
pp. 4125-4127 ◽  
Author(s):  
A.M. Hussein ◽  
W. Wurjantara
Keyword(s):  
Mathieu Functions ◽  
Matching Method ◽  
Point Matching

scholarly journals Application Of Mathieu functions And The Point Matching Method To Elliptic Conductors

2021 ◽  
Author(s):  
Wisnu Wurjantara ◽  
Ali M Hussein
Keyword(s):  
Circular Cylinder ◽  
Elliptic Cylinder ◽  
Total Current ◽  
Mathieu Functions ◽  
Matching Method ◽  
Point Matching

Analysis of elliptic conductors, carrying a known total current, using the point matching method (PMM) in circular-cylinder coordinates [l] failed for the values of axes ratio b / a < 05, where a and b are the major and minor axes of the ellipse, respectively. This work shows that the use of elliptic-cylinder coordinates in conjunction with the point matching method overcomes this problem. This paper is a part of the work investigating the difficulties encountered in the point matching method, and is motivated by the fact that, despite its limitations, the method is still attractive as suggested by its use in recent papers [2]-141.

scholarly journals Application Of Mathieu functions And The Point Matching Method To Elliptic Conductors

2021 ◽  
Author(s):  
Wisnu Wurjantara ◽  
Ali M Hussein
Keyword(s):  
Circular Cylinder ◽  
Elliptic Cylinder ◽  
Total Current ◽  
Mathieu Functions ◽  
Matching Method ◽  
Point Matching

Analysis of elliptic conductors, carrying a known total current, using the point matching method (PMM) in circular-cylinder coordinates [l] failed for the values of axes ratio b / a < 05, where a and b are the major and minor axes of the ellipse, respectively. This work shows that the use of elliptic-cylinder coordinates in conjunction with the point matching method overcomes this problem. This paper is a part of the work investigating the difficulties encountered in the point matching method, and is motivated by the fact that, despite its limitations, the method is still attractive as suggested by its use in recent papers [2]-141.

Building a Standard 3D Face Database Based on Planar Templates

2011 ◽  
Vol 48-49 ◽  
pp. 280-283
Author(s):  
Xin Xin Li ◽  
Xun Gong
Keyword(s):  
3D Models ◽  
Face Database ◽  
Matching Method ◽  
Matching Accuracy ◽  
Point Matching ◽  
Dense Point ◽  
The Mean ◽  
Point To Point ◽  
3D Face Database ◽  
2D Space

This paper presents a new point matching method to solve the dense point-to-point alignment of scanned 3D faces. Texture maps of 3D models are generated at first by unwrapping 3D faces to 2D space. Then, we build planar templates based on the mean shape computed by a group of annotated texture map. 34 landmarks on the unwrapped texture images are located by AAM and the final correspondence is built according to the templates. Comparing to the traditional algorithms, the presented point matching method can achieve good matching accuracy and stability.

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