AI SearchRelationships between Bernstein, Chebyshev and Legendre models (Record no. 99092)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02923nas|a2200433 i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260818175909.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 020510s2001 th uzm rtt 00| a1eng d |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | .b11853694 |
| 099 #9 - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Classification number | AIT Thesis no.IM-01-12 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Amirthalingam, Sathasivam |
| 245 10 - TITLE STATEMENT | |
| Title | Relationships between Bernstein, Chebyshev and Legendre models |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Bangkok : |
| Name of publisher, distributor, etc. | Asian Institute of Technology, |
| Date of publication, distribution, etc. | 2001 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 113 p. |
| 490 1# - SERIES STATEMENT | |
| Series statement | Thesis ; |
| Volume/sequential designation | no. IM-01-12 |
| 500 ## - GENERAL NOTE | |
| General note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Science, School of Advanced Technoologies |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (M.Sc.) - Asian Institute of Technology, 2001 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This study was carried out with the main objective of establishing the relationships between Bezier, Chebyshev and Legendre curves. These relationships are obtained using the polar form approach with mathematical derivations. They can serve as convenient ways to convert a curve in a given form into the other two remaining forms. It was found that the control points of a curve given in one of the forms Bezier, Chebyshev and Legendre, can be expressed as affine combinations of the control points of in each of the remaining forms for the rational case. This result is not true for non-rational curves. the control points of a Chebyshev or Legendre curve do not provide any hint about the shape of the curve defined by them. This is completely different from the case of Bezier curves. In view of these results, it seems that when a curve is given in the Chebyshev's or Legendre's form, it should be converted into the Bezier form so that its shape can be roughly figured out before any drawing is carried out. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Computer-aided design |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Curves on surfaces |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Huynh, Ngoc Phien, |
| Relator term | Chairperson |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Batanov, Dentcho N., |
| Relator term | Examination Committee |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Tien, Hoang Le, |
| Relator term | Examination committee |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | World Bank, |
| Relator term | Scholarship donor |
| 810 2# - SERIES ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Asian Institute of Technology. |
| Title of a work | Thesis ; |
| Volume/sequential designation | no. IM-01-12 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Full-Text |
| Uniform Resource Identifier | <a href="http://203.159.5.9/ait-thesis/detail.php?q=B08574">http://203.159.5.9/ait-thesis/detail.php?q=B08574</a> |
| 907 ## - LOCAL DATA ELEMENT G, LDG (RLIN) | |
| a | .b11853694 |
| b | mnait |
| c | u |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) | |
| a | 240329 |
| 998 ## - LOCAL CONTROL INFORMATION (RLIN) | |
| Operator's initials, OID (RLIN) | 0 |
| Cataloger's initials, CIN (RLIN) | 020510 |
| First date, FD (RLIN) | m |
| -- | a |
| -- | u |
| -- | 0 |
| 945 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
| l | mnait |
| 945 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
| l | mnait |
| 945 ## - LOCAL PROCESSING INFORMATION (OCLC) | |
| l | mnarc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | 20-AIT Publication |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | 22-AIT Thesis (Replacement) |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | 40-Archives |
| 909 ## - LOCAL ITEMS USED | |
| Barcode | Barcode : 30050120701619 |
| CREATED | CREATED : 2013-01-10 |
| RECORD Id | RECORD # : i12743264 |
| LPATRON | LPATRON : 0 |
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| 909 ## - LOCAL ITEMS USED | |
| Barcode | Barcode : 30050120701601 |
| CREATED | CREATED : 2014-03-21 |
| RECORD Id | RECORD # : i12777936 |
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| 909 ## - LOCAL ITEMS USED | |
| Barcode | Barcode : 30050160073606 |
| CREATED | CREATED : 2016-04-26 |
| RECORD Id | RECORD # : i12953258 |
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| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Cost, normal purchase price | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Available for Loans | Asian Institute of Technology Library | Asian Institute of Technology Library | AIT Publications | 18/08/2026 | 50.00 | AIT Thesis no.IM-01-12 | 30050120701619 | 18/08/2026 | 3 | 18/08/2026 | 20-AIT Publication | ||||
| Available for Loans | Asian Institute of Technology Library | Asian Institute of Technology Library | AIT Publications | 18/08/2026 | 50.00 | AIT Thesis no.IM-01-12 | 30050120701601 | 18/08/2026 | 4 | 18/08/2026 | 22-AIT Thesis (Replacement) | ||||
| Available for Loans | Asian Institute of Technology Library | Asian Institute of Technology Library | Archives | 18/08/2026 | AIT Thesis no.IM-01-12 | 30050160073606 | 18/08/2026 | 1 | 18/08/2026 | 40-Archives |