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Fig. 14.14
Higher-order tensors have been used to present N-way rotational symmetries (N-
RoSy [
16
]), with applications in pen-and-ink sketching (
a
), regular pattern synthesis (
b
), archi-
tectural modeling (
c
), and geometry remeshing (
d
). Image (
a
)and(
c
) are courtesy of [
17
]. © IEEE
Reprinted, with permission, from IEEE Transactions on Visualization and Computer Graphics 17(7)
classification with a bunny surface. have applied this to the curvature tensor to extract
surface features for remeshing purposes. Figure
14.13
illustrates this classification
with a bunny surface.
14.4.3 Higher Order Tensor Fields
The decomposition of the asymmetric tensor field is intrinsically linked to the Hodge-
Helmholtz decomposition.
D
,
R
, and
S
from Eq.
14.2
correspond to the curl-free,
divergence-free, and harmonic component in the Hodge-Helmholtz decomposition
(Fig.
14.14
).
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