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Project
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Brief Description
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The Cooperative Geometric Modeling Research Between
Tsinghua University
and the
University of Kentucky
which proposes to develop network CAD/CAM interfaces and collaborative
design paradigms for object-oriented gemoetric modeling.
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Program Title: Creating High Quality Manufacturable Free-Form NURB Surface
Using Constrained Optimization
This project's purpose is to develop advanced NURBS surface tools to solve
several CAD design problems.
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Techniques of shape modeling and design will be developed in these areas:
computation techniques that combine interpolation and approximation
into a single process for both curve and surface design problems.
ways of building polynomial and rational B-spline curves and surfaces and
viewing these objects when viewed as digital filters.
building a general model for the automatic smoothing of sharp corners and
edges formed by intersecting parametric surfaces.
development of a general model for the automatic smooth connection
of disjoint parametric surfaces.
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Goal:
To present a method for removing the irregularities of
a NURBS surface, which offers an intuitive technique that allows
designer to remove the irregular parts of a NURBS surface by simply modifying
the highlight lines, the smooth surface shape is obtained by several
interactive process.
Approach:
Linearizing the system of a nonlinear equations which express the relationship
between the control points and the desired high lines.
Each highlight line is approximated by a cubic spline, adjusting the highlight
line is replaced by adjusting the cubic spline.
The adjustment of the control points are implemented by a way making certain
properties of them unchanged.
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A new method to scale a trimmed NURBS surface
while holding the shape and size of specific features
(trimming curves) unchanged is presented.
A free-form surface deformation technique is used in
the generation of the new surface.
The resultant surface has the same trimming curves as the
original surface and in the mean while reflects the shape
and curvature distribution of the scaled surface.
The new method also maintain a NURBS representation for
the resultant surface.
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