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We present a new technique for physically-plausible shape
blending by interpolating the spring rest length parameters
of a mass-spring system. This blendshape method begins
by constructing two consistent mass-spring systems (i.e.,
with vertex-wise correspondence and the same topology) for
source and target shapes, respectively, and setting the two
systems as in their static states. In other words, their edge
lengths equal to the rest lengths of the springs. To create
an intermediate pose, we generate a new mass-spring system
consistent with the source and target ones and set its rest
lengths as linearly interpolated between source and target
based on an interpolation factor 2 [0; 1]. The new pose
is then synthesized by computing the equilibrium given the
interpolated rest lengths. In addition, the mass-spring sys-
tem may interact with other objects in the environment by
incorporating collision detection.
2 The Blendshape Model
We make the assumption that the source and target shapes
have vertex-wise correspondence. To preserve their volumes,
we rst add some additional corresponding vertices inside
the two shapes. Then a common topology is created for the
structure of the volumetric mass-spring systems based on 3D
Delaunay triangulation. Similar to [Choi and Ko 2002], we
used a combination of structure springs and bending springs,
which model the elastic properties of the object's surface and
the bending and
exural properties of the material. |
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