Interpolation methods in curve and surface modelling (Record no. 63153)

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035 ## - SYSTEM CONTROL NUMBER
System control number .b10372659
099 #9 - LOCAL FREE-TEXT CALL NUMBER (OCLC)
Classification number AIT Thesis no. CS-91-15
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Xu, Jiang
245 10 - TITLE STATEMENT
Title Interpolation methods in curve and surface modelling
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Bangkok :
Name of publisher, distributor, etc. Asian Institute of Technology,
Date of publication, distribution, etc. 1991
300 ## - PHYSICAL DESCRIPTION
Extent 112 p.
490 1# - SERIES STATEMENT
Series statement Thesis ;
Volume/sequential designation no. CS-91-15
500 ## - GENERAL NOTE
General note A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineeerin and Technology
502 ## - DISSERTATION NOTE
Dissertation note Thesis (M.Eng.) - Asian Institute of Technology, 1991
520 ## - SUMMARY, ETC.
Summary, etc. Two independent C2 cubic interpolatary spline modelling methods have been investigated in this study. They are piecewise Bezier form and B-spline form methods which are both suitable for generating plane and space C2 interpolation curves. A theoretical analysis of geometric continuity and Frenet Frame continuity of the C2 space piecewise cubic Bezier interpolation curve has been carried out. A necessary and sufficient condition for a C2 curve to be G3 was also proposed and proved here. Meanwhile two programs, for 2D and 3D curves interpolating respectively, were developed using the above modelling methods, and each method was considered to support open and closed curves. General B-spline Hermite interpolation curves' methods have also been investigated. An implementation of the method in case of 2D C1 cubic curves has been done for numerical experiments. The work also dealts with surface interpotation methods, and a program for C1 composite bicubic Bezier interpolation surface modelling was developed based on the theory presented.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Curves, Cubic
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Computer-aided design
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Huynh, Ngoc Phien,
Relator term Chairperson
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Zhao, Ming,
Relator term Examination committee
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Bohez, Erik L.J.,
Relator term Examination Committee
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element Government of Germany,
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. CS-91-15
856 ## - ELECTRONIC LOCATION AND ACCESS
Materials specified Full-Text
Uniform Resource Identifier <a href="http://203.159.5.9/ait-thesis/detail.php?q=B17337">http://203.159.5.9/ait-thesis/detail.php?q=B17337</a>
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Cataloger's initials, CIN (RLIN) 951012
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Koha item type 40-Archives
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type 20-AIT Publication
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CREATED CREATED : 1995-10-14
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      Available for Loans Asian Institute of Technology Library Asian Institute of Technology Library AIT Publications 18/08/2026   AIT Thesis no. CS-91-15 30050120677108 18/08/2026 3 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. CS-91-15 30050120372841 18/08/2026   18/08/2026 40-Archives
      Available for Loans Asian Institute of Technology Library Asian Institute of Technology Library AIT Publications 18/08/2026   AIT Thesis no. CS-91-15 30050121005598 18/08/2026 1 18/08/2026 20-AIT Publication
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