1 AIT Asian Institute of Technology

Hodographs of generalized-ball curves

AuthorSoe Soe Htwe
Call NumberAIT RSPR no.CS-01-03
Subject(s)Hodograph

NoteA research study submitted in partial fulfillment of the requirements for the degree of the Master of Science, School of Advanced Technologyies
PublisherAsian Institute of Technology
Series StatementResearch studies project report ; no. CS-01-03
AbstractApplications 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.
Year2001
Corresponding Series Added EntryAsian Institute of Technology. Research studies project report ; no. CS-01-03
TypeResearch Study Project Report (RSPR)
SchoolSchool of Advanced Technologies (SAT)
DepartmentDepartment of Information and Communications Technologies (DICT)
Academic Program/FoSComputer Science (CS)
Chairperson(s)Phien, Huynh Ngoc;
Examination Committee(s)Tien, Hoang Le ;Borne, Frederic ;
Scholarship Donor(s)Asian Institute of Technology-Partial Scholarship ;
DegreeResearch Studies Project Report (M. Sc.) - Asian Institute of Technology, 2001


Usage Metrics
View Detail0
Read PDF0
Download PDF0