Robust regression computation computation using iteratively reweighted least squares
SIAM Journal on Matrix Analysis and Applications
Generalized Affine Invariant Image Normalization
IEEE Transactions on Pattern Analysis and Machine Intelligence
A System of Subroutines for Iteratively Reweighted Least Squares Computations
ACM Transactions on Mathematical Software (TOMS)
ACM Transactions on Graphics (TOG)
Non-rigid registration using distance functions
Computer Vision and Image Understanding - Special issue on nonrigid image registration
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
Robust normalization of silhouettes for recognition applications
Pattern Recognition Letters - Special issue: Discrete geometry for computer imagery (DGCI'2002)
Robust repair of polygonal models
ACM SIGGRAPH 2004 Papers
Registration of point cloud data from a geometric optimization perspective
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Short note: O(N) implementation of the fast marching algorithm
Journal of Computational Physics
Shape Registration in Implicit Spaces Using Information Theory and Free Form Deformations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Classification Using the Inner-Distance
IEEE Transactions on Pattern Analysis and Machine Intelligence
PTK: A novel depth buffer-based shape descriptor for three-dimensional object retrieval
The Visual Computer: International Journal of Computer Graphics
What is wrong with mesh PCA in coordinate direction normalization
Pattern Recognition
Automatic 2D Shape Orientation by Example
SMI '07 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2007
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Boundary based shape orientation
Pattern Recognition
Analysis of Two-Dimensional Non-Rigid Shapes
International Journal of Computer Vision
Upright orientation of man-made objects
ACM SIGGRAPH 2008 papers
Metamorphs: Deformable Shape and Appearance Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Numerical Geometry of Non-Rigid Shapes
Numerical Geometry of Non-Rigid Shapes
An Alternative Approach to Computing Shape Orientation with an Application to Compound Shapes
International Journal of Computer Vision
Robust principal axes determination for point-based shapes using least median of squares
Computer-Aided Design
Interior distance using barycentric coordinates
SGP '09 Proceedings of the Symposium on Geometry Processing
Full and Partial Symmetries of Non-rigid Shapes
International Journal of Computer Vision
Curvature weighted gradient based shape orientation
Pattern Recognition
International Journal of Computer Vision
International Journal of Computer Vision
Surface area estimation of digitized 3D objects using quasi-Monte Carlo methods
Pattern Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
A 3d model retrieval method using 2d freehand sketches
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part II
On the Orientability of Shapes
IEEE Transactions on Image Processing
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3D shape normalization is a common task in various computer graphics and pattern recognition applications. It aims to normalize different objects into a canonical coordinate frame with respect to rigid transformations containing translation, rotation and scaling in order to guarantee a unique representation. However, the conventional normalization approaches do not perform well when dealing with 3D articulated objects. To address this issue, we introduce a new method for normalizing a 3D articulated object in the volumetric form. We use techniques from robust statistics to guide the classical normalization computation. The key idea is to estimate the initial normalization by using implicit shape representation, which produces a novel articulation insensitive weight function to reduce the influence of articulated deformation. We also propose and prove the articulation insensitivity of implicit shape representation. The final solution is found by means of iteratively reweighted least squares. Our method is robust to articulated deformation without any explicit shape decomposition. The experimental results and some applications are presented for demonstrating the effectiveness of our method.