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035 _a.b11853402
099 9 _aAIT RSPR no.CS-01-03
100 0 _aSoe Soe Htwe
245 1 0 _aHodographs of generalized-ball curves
260 _aBangkok :
_bAsian Institute of Technology,
_c2001
300 _a48 p.
490 1 _aResearch studies project report ;
_vno. CS-01-03
500 _aA research study submitted in partial fulfillment of the requirements for the degree of the Master of Science, School of Advanced Technologies
502 _aResearch Studies Project Report (M. Sc.) - Asian Institute of Technology, 2001
520 _aApplications 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.
650 0 _aHodograph
700 1 _aHuynh, Ngoc Phien,
_eChairperson
700 1 _aTien, Hoang Le,
_eExamination committee
700 1 _a Borne, Frederic,
_eeExamination committee
710 2 _aAsian Institute of Technology-Partial Scholarship,
_eScholarship donor
810 2 _aAsian Institute of Technology.
_tResearch studies project report ;
_vno. CS-01-03
856 _3Full-Text
_uhttp://203.159.5.9/ait-thesis/detail.php?q=B07085
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