AI SearchPolar form approach to geometric modeling (Record no. 88872)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04395cas|a2200433 i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260818172128.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 060198s1992 th uzm rtt 00| a1eng d |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | .b11509740 |
| 099 #9 - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Classification number | AIT Diss. no. CS-92-1 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Tang, Van To |
| 245 10 - TITLE STATEMENT | |
| Title | Polar form approach to geometric modeling |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Bangkok : |
| Name of publisher, distributor, etc. | Asian Institute of Technology, |
| Date of publication, distribution, etc. | 1992 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 159 leaves |
| 490 1# - SERIES STATEMENT | |
| Series statement | Dissertation ; |
| Volume/sequential designation | no. CS-92-1 |
| 500 ## - GENERAL NOTE | |
| General note | A dissertation submitted in partial fulfillment of the requirements of the degree of Doctor of Engineering |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (Ph.D.) - Asian Institute of Technology, 1992 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The polar form approach has been introduced in recent years to curve and surface modeling. In this study, this approach has been applied to curves, surfaces and solids. In this connection, all the polar models for curves and surfaces are reviewed and presented together in a systematic fashion, in order to make the advantages of the polar form approach when applied to them clearly seen. The study covers Bezier, B-spline, Ý-spline and Ball curves. Some typical surfaces as tensor product, ruled, revolution and Bezier triangular surfaces are also included. The extension of the polar form approach to solid modeling are finally introduced. It is shown that the polar form approach provides a very good tool to develop and explain a large number of basic operations on the aforementioned geometric objects. Using polar form, almost the same treatment can apply to both Bezier and B-spline curves. The control points for these curves can be represented directly by their polar values and the algorithms for computing the coordinates of a point on these curves can be obtained by mean of an affine rule. It is also shown that the conversion between these two models becomes very easy under the polar form approach. When applied to Ball curves, its true Bezier points can be determined quite easily. Having shown that any polynomial curve can be viewed as a Bezier curve, the study shows that for the same control points, the Bezier curve approximates the control polygon better than does the Ball curve. As a further application of the polar form approach to curve modeling, Bezier-based curves resulted from varying polar form arguments synchronically are also introduced and examined. The advantage of the polar form approach is therefore easily seen. For typical surfaces, a direct extension of the results obtained for curves can readily be made. The polar forms for all these surfaces are given. It is shown that the polar form approach can be used to easily process mixed-type tensor product surfaces. For solids modeling, the general parametric polynomial solid is considered and an efficient algorithm to calculate the coordinates of a point on it is described. Moreover, tetrahedral solids can be obtained as an extension of the polar form for Bezier triangular surfaces. All the results obtained have been derived mathematically and all algorithms devised have been given in pseudo codes or in the form conducive to implementation. |
| 650 10 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Computer-aided design |
| 650 10 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometrical drawing |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Huynh, Ngoc Phien, |
| Relator term | Chairperson |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Vilas Wuwongse, |
| Relator term | Examination Committee |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Tabucanon, Mario T., |
| Relator term | Examination Committee |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Farin, Gerald, |
| Relator term | Examination committee |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Government of Japan, |
| 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 | Dissertation ; |
| Volume/sequential designation | no. CS-92-1 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Full-Text |
| Uniform Resource Identifier | <a href="http://203.159.5.9/ait-thesis/detail.php?q=B00301">http://203.159.5.9/ait-thesis/detail.php?q=B00301</a> |
| 907 ## - LOCAL DATA ELEMENT G, LDG (RLIN) | |
| a | .b11509740 |
| b | mnait |
| c | t |
| 902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) | |
| a | 240404 |
| 998 ## - LOCAL CONTROL INFORMATION (RLIN) | |
| Operator's initials, OID (RLIN) | 0 |
| Cataloger's initials, CIN (RLIN) | 960620 |
| First date, FD (RLIN) | m |
| -- | a |
| -- | t |
| -- | 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 | 40-Archives |
| 909 ## - LOCAL ITEMS USED | |
| Barcode | Barcode : 30050004671409 |
| CREATED | CREATED : 1996-06-20 |
| RECORD Id | RECORD # : i11785494 |
| LPATRON | LPATRON : 1014699 |
| LCHKIN | LCHKIN : 2002-12-10 |
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| 909 ## - LOCAL ITEMS USED | |
| Barcode | Barcode : 30050003057618 |
| CREATED | CREATED : 1996-06-20 |
| RECORD Id | RECORD # : i11785500 |
| LPATRON | LPATRON : 1015151 |
| LCHKIN | LCHKIN : 2019-02-04 |
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| 909 ## - LOCAL ITEMS USED | |
| Barcode | Barcode : 30050160037627 |
| CREATED | CREATED : 2016-01-25 |
| RECORD Id | RECORD # : i12872969 |
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| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | 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 | AIT Diss. no. CS-92-1 | 30050004671409 | 18/08/2026 | 1 | 18/08/2026 | 20-AIT Publication | ||||
| Available for Loans | Asian Institute of Technology Library | Asian Institute of Technology Library | AIT Publications | 18/08/2026 | AIT Diss. no. CS-92-1 | 30050003057618 | 18/08/2026 | 2 | 18/08/2026 | 20-AIT Publication | ||||
| Available for Loans | Asian Institute of Technology Library | Asian Institute of Technology Library | Archives | 18/08/2026 | AIT Diss. no. CS-92-1 | 30050160037627 | 18/08/2026 | 18/08/2026 | 40-Archives |