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Hodographs of generalized-ball curves | |
Author | Soe Soe Htwe |
Call Number | AIT RSPR no.CS-01-03 |
Subject(s) | Hodograph |
Note | A research study submitted in partial fulfillment of the requirements for the degree of the Master of Science, School of Advanced Technologyies |
Publisher | Asian Institute of Technology |
Series Statement | Research studies project report ; no. CS-01-03 |
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 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. |
Year | 2001 |
Corresponding Series Added Entry | Asian Institute of Technology. Research studies project report ; no. CS-01-03 |
Type | Research Study Project Report (RSPR) |
School | School of Advanced Technologies (SAT) |
Department | Department of Information and Communications Technologies (DICT) |
Academic Program/FoS | Computer Science (CS) |
Chairperson(s) | Phien, Huynh Ngoc; |
Examination Committee(s) | Tien, Hoang Le ;Borne, Frederic ; |
Scholarship Donor(s) | Asian Institute of Technology-Partial Scholarship ; |
Degree | Research Studies Project Report (M. Sc.) - Asian Institute of Technology, 2001 |