AI SearchHodographs of generalized-ball curves
Call Number: AIT RSPR no.CS-01-03 Material type:
SeriesSeries: Asian Institute of Technology. Research studies project report ; no. CS-01-03Publication details: Bangkok : Asian Institute of Technology, 2001Description: 48 pSubject(s): Online resources: Dissertation note: Research Studies Project Report (M. Sc.) - Asian Institute of Technology, 2001 Summary: Applications in CAGD require the computation of derivatives of curves and surfaces. This study employs a systematic approach to compute the derivatives of non-rational and rational generalized Ball curves and provides a representation of the derivative of each generalized Ball curve in the form of the same generalized Ball curve. The relationship between two generalized Ball curves and a Bezier curves, and as such the hodographs of two generalized Ball curves can be derives from the Hodographs of Bezier curve of the same degree. The research establishes the Hodographs of non-rational Said-Ball and Wang-Ball curves and three different kinds of Hodographs of rational Said-Ball and Wang-Ball curves namely Scaled Hodograph, Floater Approach and Closed Form Hodograph.
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Asian Institute of Technology Library AIT Publications | AIT RSPR no.CS-01-03 (Browse shelf(Opens below)) | 1 | Available | 30050120616197 | |||||||||||||
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Asian Institute of Technology Library AIT Publications | AIT RSPR no.CS-01-03 (Browse shelf(Opens below)) | 2 | Available | 30050120616189 | |||||||||||||
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Asian Institute of Technology Library Archives | AIT RSPR no.CS-01-03 (Browse shelf(Opens below)) | 1 | Available | 30050120239164 | |||||||||||||
| 21 | Asian Institute of Technology Library Archives | AIT RSPR no.CS-01-03 (Browse shelf(Opens below)) | 3 | Available | 30050120930986 |
A research study submitted in partial fulfillment of the requirements for the degree of the Master of Science, School of Advanced Technologies
Research Studies Project Report (M. Sc.) - Asian Institute of Technology, 2001
Applications in CAGD require the computation of derivatives of curves and surfaces. This study employs a systematic approach to compute the derivatives of non-rational and rational generalized Ball curves and provides a representation of the derivative of each generalized Ball curve in the form of the same generalized Ball curve. The relationship between two generalized Ball curves and a Bezier curves, and as such the hodographs of two generalized Ball curves can be derives from the Hodographs of Bezier curve of the same degree. The research establishes the Hodographs of non-rational Said-Ball and Wang-Ball curves and three different kinds of Hodographs of rational Said-Ball and Wang-Ball curves namely Scaled Hodograph, Floater Approach and Closed Form Hodograph.
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