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Surface splines
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a__ (gif)
Definition
properties and
applications;
(short text)
properties of surface splines
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b__
Basic shapes
represented as surface splines
(Shaded, BB-net, Isophotes, Gauss curvature, Mean curvature);
blends
of basic shapes with surface splines
(Gauss curvature)
A single surface spline representing
cubes and cylinders.
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Notes
on the next three figures
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(figure) More examples of
C1-surface splines
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(figure)
Blend ratios
for modifying surface splines
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(figure) Curvature distribution and interpolation of a part of a
cube.
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A
flattened cube.
The left top is not a disk (even though
it is almost circular); the right top is an exact disk.
Each figure is one surface spline.
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Here is a
pretty cat.
(wow graphics can be great fun)
Gaussian and Mean curvature on
"the cat"
(prediction of
Gauss
curvature and of
Mean
curvature)
for_tim
for_leif
vw_shaded
vw_patches
vw_gauss_curvature
A fancy car model
(1)
(2)
(3)
Implicit surface blending :
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some csg blends
cyclide (exact)
vs
cyclide (implicit Oh^4 approximation)
and a
cyclide blend
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Sponsors: NSF, Intel, SDRC ... via
Grants:
1992: Research Initiation Award:
Improving the shape of surfaces by perturbation
1994: National Young Investigator Award;
Splines for modeling free-form surfaces.
