Dynamic 3D models with local and global deformations: deformablesuperquadrics
Terzopoulos, D.; Metaxas, D.
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Volume 13, Issue 7, Jul 1991 Page(s):703 - 714
Digital Object Identifier 10.1109/34.85659
Summary:The authors present a physically based approach to fitting complex
three-dimensional shapes using a novel class of dynamic models that can
deform both locally and globally. They formulate the deformable
superquadrics which incorporate the global shape parameters of a
conventional superellipsoid with the local degrees of freedom of a
spline. The model's six global deformational degrees of freedom capture
gross shape features from visual data and provide salient part
descriptors for efficient indexing into a database of stored models. The
local deformation parameters reconstruct the details of complex shapes
that the global abstraction misses. The equations of motion which govern
the behavior of deformable superquadrics make them responsive to
externally applied forces. The authors fit models to visual data by
transforming the data into forces and simulating the equations of motion
through time to adjust the translational, rotational, and deformational
degrees of freedom of the models. Model fitting experiments involving 2D
monocular image data and 3D range data are presented
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