Recovery of Parametric Models from Range Images: The Case for Superquadrics with Global Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Method of Normalization to Determine Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
A New One-Parametric Fitting Method for Planar Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Concrete Math
Invariant Fitting of Planar Objects by Primitives
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Experimental comparison of superquadric fitting objective functions
Pattern Recognition Letters
Affine-invariant moment method of three dimensional object identification.
Affine-invariant moment method of three dimensional object identification.
Moments of superellipsoids and their application to range image registration
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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We present an algorithm for the robust fitting of objects given as voxel data with affinely transformed superellipsoids. Superel-lipsoids cover a broad range of various forms and are widely used in many application fields. Our approach uses the method of normalization and a new separation of the affine transformation into a shearing, an anisotropic scale and a rotation. It extends our previous work for 2D fitting problems and for fitting rectangular boxes in 3D. Our technique can be used as a valuable tool for solving this fitting task for 3D data. If the exponents describing the superellipsoids to be fitted are known in advance, the method is extremely robust even against major distortions of the object to be fitted.