A package to compute implicit equations for rational curves and surfaces
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作者:
Yao, Shanshan
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Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
Univ CAS, Sch Math Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
Yao, Shanshan
[1
,2
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Feng, Yifei
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机构:
Univ CAS, Sch Math Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
Feng, Yifei
[2
]
Jia, Xiaohong
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Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
Univ CAS, Sch Math Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
Jia, Xiaohong
[1
,2
]
Shen, Li-Yong
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机构:
Univ CAS, Sch Math Sci, Beijing 100049, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
Shen, Li-Yong
[2
]
机构:
[1] Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
[2] Univ CAS, Sch Math Sci, Beijing 100049, Peoples R China
Implicit is a package for implicitizing rational planar curves and rational tensor product surfaces, developed on Maplesoft based on the state-of-the-art implicitization techniques. The main functions ImpCurve and ImpSurface return the implicit equation of a rational planar curve or a rational tensor product surface. Other popularly used functions, such as ImpDegree, ImpMatrix and ImpRuled that are used for deciding the implicit degree and the implicit matrix of a general rational surface, and computing the implicit equation of a rational ruled surface in a more efficient way, are also proposed.