[1] Wang Xiaoping, Zhou Rurong, Wang Zhiguo, Zhang Liyan, et al. Constructing G1 interpolation curveson surfaces with Coons surface [J]. Journal of Southeast University (English Edition), 2004, 20 (2): 187-190. [doi:10.3969/j.issn.1003-7985.2004.02.012]

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Constructing G¹ interpolation curveson surfaces with Coons surface()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

20

Issue:

2004 2

Page:

187-190

Research Field:

Computer Science and Engineering

Publishing date:

2004-06-30

Info

Title:

Constructing G¹ interpolation curveson surfaces with Coons surface

Author(s):

Wang Xiaoping;  Zhou Rurong;  Wang Zhiguo;  Zhang Liyan

Research Center of CAD/CAM Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Keywords:

interpolation;  Coons surface;  G¹ continuity;  surface-to-surface intersection

PACS:

TP391

DOI:

10.3969/j.issn.1003-7985.2004.02.012

Abstract:

Using a bi-cubic Coons surface, a new method for G¹-continuous interpolation of an arbitrary sequence of points on an implicitly or parametrically defined surface with a specified tangent direction at every point was presented. Firstly construct a G¹-continuous composite Coons surface patch, then compute the intersection of the surface patch and the given surface. The desired interpolation curve is the intersection curve. Unlike some existing methods, introduced into the method were several free parameters that can be used in subsequent interactive modification so that the last curve’s shape meets our demand. Experiments demonstrate the method is simple, feasible and applicable to computer aided design and computer graphics, etc.

References:

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Memo

Memo:

Biographies: Wang Xiaoping(1966—), male, doctor, harayano@hotmail.com; Zhou Rurong(1936—), male, professor, zhoururong@vip.sina.com.

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