De Casteljau algorithm on Lie groups and spheres

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作者
Crouch, P. [1 ]
Kun, G. [2 ]
Silva Leite, F. [3 ]
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[1] Ctr. for Syst. Sci. and Engineering, Arizona State University, Tempe, AZ 85287, United States
[2] Lehrstuhl C für Mathematik, RWTH Aachen, D-52056 Aachen, Germany
[3] Departamento de Matemática, Universidade de Coimbra, 3000 Coimbra, Portugal
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Key words and phrases. De Casteljau algorithm; symmetric spaces; Lie groups; spheres; polynomial curves; cubic splines; covariantderivatives. The first author was supported in part by NATO; Grant 4/C/94/PO. The second author was supported by Acgao Integrada Luso-Alema; No. 314-AI-p-dr. The third author was supported in part by ISR; research network contract ERB FMRXCT-970137 and Gulbenkian Foundation grant while the author was visiting the Systems Science and Engineering Research Center at the Arizona StateUniversity;
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页码:397 / 429
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