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Hodographs of generalized-ball curves

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dc.contributor.advisor Huynh Ngoc Phien, Professor (Chairman) en_US
dc.contributor.author Soe Soe Htwe en_US
dc.date.accessioned 2015-01-12T10:37:38Z
dc.date.available 2015-01-12T10:37:38Z
dc.date.issued 2001-12 en_US
dc.identifier.other AIT RSPR no.CS-01-03 en_US
dc.identifier.uri http://www.cs.ait.ac.th/xmlui/handle/123456789/122
dc.description 53 p. en_US
dc.description.abstract 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 Bézier curves, and as such the hodographs of two generalized Ball curves can be derives from the Hodographs of Bézier 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. en_US
dc.description.sponsorship Asian Institute of Technology-Partial Scholarship en_US
dc.language.iso en en_US
dc.publisher Asian Institute of Technology en_US
dc.relation.ispartofseries AIT Publications; en_US
dc.subject Hodograph en_US
dc.title Hodographs of generalized-ball curves en_US
dc.type Research Report en_US

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