Title page for ETD etd-04192001-172731


Type of Document Master's Thesis
Author Bindiganavle, Karthik
URN etd-04192001-172731
Title An optimal approach to geometric trimming of B-spline surfaces
Degree Master of Science
Department Mechanical Engineering
Advisory Committee
Advisor Name Title
Myklebust, Arvid Committee Chair
Bohn, Jan Helge Committee Member
Deisenroth, Michael P. Committee Member
Keywords
  • Geometric
  • Trimmed
  • B-spline Surfaces
Date of Defense 2000-04-15
Availability unrestricted
Abstract
Geometric trimming of a surface involves removal of unwanted portions of the surface and providing a new mathematical description for the trimmed patch. This entails creating a new geometry for the trimmed patch, which closely approximates the corresponding portion on the original patch. The procedure is shown to involve obtaining data points on the B-spline surface that lie within the region specified by the parameter values for the trimming curve and describing a new surface which interpolates this new set of data points. This research looks at optimizing the procedure described above by basing the choice of parameter values for the trimming curve, at points where curvature optima occur over the surface. A visualization tool kit has been developed using OpenGL, as a means to discern the difference between the two surfaces. In order to quantify and aid in minimizing the error (difference) in approximating the original surface with the trimmed patch, an error measurement tool developed in MATLAB has been employed.
Files
  Filename       Size       Approximate Download Time (Hours:Minutes:Seconds) 
 
 28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access 
  Abstract.pdf 48.34 Kb 00:00:13 00:00:06 00:00:06 00:00:03 < 00:00:01
  Appendix_A.pdf 265.37 Kb 00:01:13 00:00:37 00:00:33 00:00:16 00:00:01
  Appendix_B.pdf 31.43 Kb 00:00:08 00:00:04 00:00:03 00:00:01 < 00:00:01
  chapter_1.pdf 161.29 Kb 00:00:44 00:00:23 00:00:20 00:00:10 < 00:00:01
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  chapter_4.pdf 1.69 Mb 00:07:48 00:04:00 00:03:30 00:01:45 00:00:08
  chapter_5.pdf 945.69 Kb 00:04:22 00:02:15 00:01:58 00:00:59 00:00:05
  chapter_6.pdf 89.47 Kb 00:00:24 00:00:12 00:00:11 00:00:05 < 00:00:01
  chapter_7.pdf 2.51 Mb 00:11:36 00:05:58 00:05:13 00:02:36 00:00:13
  chapter_8.pdf 24.33 Kb 00:00:06 00:00:03 00:00:03 00:00:01 < 00:00:01
  chapter_9.pdf 46.55 Kb 00:00:12 00:00:06 00:00:05 00:00:02 < 00:00:01
  Cover.pdf 16.21 Kb 00:00:04 00:00:02 00:00:02 00:00:01 < 00:00:01
  Vita.pdf 12.00 Kb 00:00:03 00:00:01 00:00:01 < 00:00:01 < 00:00:01

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