Multiresolution modeling techniques in CAD
Date
2001
Authors
Yan, Ji
Major Professor
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Narayanaswami, Ranga
Committee Member
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Abstract
This thesis investigates new multiresolution modeling techniques in CAD. Models in the system are represented by endpoint-interpolating B-spline functions. Wavelet deformation techniques are extended to include synthesis editing and detail blending from previous sweep editing and fractional editing methods. Application of multiresolution editing to multiple patches of complex topology is investigated. An algorithm for multi-patch deformation is developed by enforcement of G0 continuity between adjacent patches. G1 continuity may be recaptured after editing by numerical optimization of the error vectors along boundary seams. A simple CAD interface is implemented for B-spline patch acquisition based on reverse engineered data and layer based modeling. A moving cursor plane is used for 3D editing. Design examples are presented to illustrate the 3D wavelet editing capability. The developed wavelet deformation techniques can be a useful complement to current CAD systems by providing powerful new modeling and editing capabilities.
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thesis