Extending cubic Bézier curve based on geometric continuity

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Extending cubic Bézier curve based on geometric continuity

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Computer graphics and interactive techniques in Australasia and South East Asia archive
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia table of contents

Kuala Lumpur, Malaysia

SESSION: Modeling techniques table of contents

Pages: 439 - 442

Year of Publication: 2006

ISBN:1-59593-564-9

Authors

Yuanfeng Zhou	Shandong University, Jinan, PR China
Caiming Zhang	Shandong University, Jinan, PR China

Sponsor

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

ACM New York, NY, USA

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ABSTRACT

This paper presents a new method for extending cubic Bézier curve. G² continuity is used to describe the smoothness of joint point and two shape parameters are provided for making the extended curve adjustable. To make the extended part of curve have the desirable shape, two optimal objective functions are established based on the exact minimum energy and the exact minimum curvature variation of the curve, respectively. The shape parameters of the extended segment are determined by minimizing the objective functions. The optimization process is linearized by Newton iterative method. The comparison of the curves with different objective functions is included.

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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