02929cas|a2200445 a 4500 20260818133701.0 030801s2000 th uu|m rtt 0| a1eng d .b11853402 AIT RSPR no.CS-01-03 Soe Soe Htwe Hodographs of generalized-ball curves Bangkok : Asian Institute of Technology, 2001 48 p. Research studies project report ; no. CS-01-03 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. Hodograph Huynh, Ngoc Phien, Chairperson Tien, Hoang Le, Examination committee Borne, Frederic, eExamination committee Asian Institute of Technology-Partial Scholarship, Scholarship donor Asian Institute of Technology. Research studies project report ; no. CS-01-03 Full-Text http://203.159.5.9/ait-thesis/detail.php?q=B07085 .b11853402 mnait u 240329 0 020503 m a u 0 mnait mnait mnarc mnarc 20 40 21 Barcode : 30050120616197 CREATED : 2002-03-05 RECORD # : i12280161 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 1 TOT CHKOUT : 0 TOT RENEW : 0 Barcode : 30050120616189 CREATED : 2002-03-05 RECORD # : i12280173 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 2 TOT CHKOUT : 0 TOT RENEW : 0 Barcode : 30050120239164 CREATED : 2016-03-30 RECORD # : i12912815 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 0 TOT RENEW : 0 Barcode : 30050120930986 CREATED : 2019-11-29 RECORD # : i13235369 LPATRON : 0 LCHKIN : - # RENEWALS : 0 # OVERDUE : 0 IUSE3 : 0 TOT CHKOUT : 0 TOT RENEW : 0 55608 55608 0 0 0 0 MAIN MAIN mnait 2026-08-18 50.00 0 AIT RSPR no.CS-01-03 30050120616197 2026-08-18 13:37:01 1 2026-08-18 20 0 0 0 0 MAIN MAIN mnait 2026-08-18 50.00 0 AIT RSPR no.CS-01-03 30050120616189 2026-08-18 13:37:01 2 2026-08-18 20 0 0 0 0 MAIN MAIN mnarc 2026-08-18 0 AIT RSPR no.CS-01-03 30050120239164 2026-08-18 13:37:01 1 2026-08-18 40 0 0 0 0 MAIN MAIN mnarc 2026-08-18 0 AIT RSPR no.CS-01-03 30050120930986 2026-08-18 13:37:01 3 2026-08-18 21