Robust regression and outlier detection
Robust regression and outlier detection
An approach to 3D pose determination
ACM Transactions on Graphics (TOG)
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Robust Parameter Estimation in Computer Vision
SIAM Review
Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG)
Proceedings of the conference on Visualization '01
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
The Complex EGI: A New Representation for 3-D Pose Determination
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pose Estimation and Integration for Complete 3D Model Reconstruction
WACV '02 Proceedings of the Sixth IEEE Workshop on Applications of Computer Vision
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Interactive boolean operations on surfel-bounded solids
ACM SIGGRAPH 2003 Papers
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
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)
Registration of point cloud data from a geometric optimization perspective
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Statistical geometry representation for efficient transmission and rendering
ACM Transactions on Graphics (TOG)
Robust moving least-squares fitting with sharp features
ACM SIGGRAPH 2005 Papers
Salient geometric features for partial shape matching and similarity
ACM Transactions on Graphics (TOG)
A planar-reflective symmetry transform for 3D shapes
ACM SIGGRAPH 2006 Papers
Partial and approximate symmetry detection for 3D geometry
ACM SIGGRAPH 2006 Papers
PTK: A novel depth buffer-based shape descriptor for three-dimensional object retrieval
The Visual Computer: International Journal of Computer Graphics
Pose-Oblivious Shape Signature
IEEE Transactions on Visualization and Computer Graphics
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Partial matching of 3D shapes with priority-driven search
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
A quasi-Monte Carlo method for computing areas of point-sampled surfaces
Computer-Aided Design
A survey of point-based techniques in computer graphics
Computers and Graphics
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
Stratified point sampling of 3D models
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Uncertainty and variability in point cloud surface data
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Robust shape normalization of 3D articulated volumetric models
Computer-Aided Design
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A robust technique for determining the principal axes of a 3D shape represented by a point set, possibly with noise, is presented. We use techniques from robust statistics to guide the classical principal component analysis (PCA) computation. Our algorithm is based on a robust statistics method: least median of squares (LMS), for outlier detection. Using this method, an outlier-free major region of the shape is extracted, which ignores the effect on other minor regions regarded as the outliers of the shape. In order to effectively approximate the LMS optimization, the forward search technique is utilized. We start from a small outlier-free subset robustly chosen as the major region, where an octree is used for accelerating computation. Then the region is iteratively increased by adding samples at a time. Finally, by treating the points on minor regions as outliers, we are able to define the principal axes of the shape as one of the major region. One of the advantages of our algorithm is that it automatically disregards outliers and distinguishes the shape as the major and minor regions during the principal axes determination without any extra segmentation procedure. The presented algorithm is simple and effective and gives good results for point-based shapes. The application on shape alignment is considered for demonstration purpose.