Regular Article: Computing Fourier Transforms and Convolutions on the 2-Sphere
Advances in Applied Mathematics
Shock Graphs and Shape Matching
International Journal of Computer Vision
Consistent mesh parameterizations
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
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)
3D Shape Histograms for Similarity Search and Classification in Spatial Databases
SSD '99 Proceedings of the 6th International Symposium on Advances in Spatial Databases
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Matching 3D Models with Shape Distributions
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
ACM SIGGRAPH 2004 Papers
Context-based surface completion
ACM SIGGRAPH 2004 Papers
Rotation Estimation from Spherical Images
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 3 - Volume 03
Symmetry descriptors and 3D shape matching
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Graphical Models
International Journal of Computer Vision
Spherical Correlation of Visual Representations for 3D Model Retrieval
International Journal of Computer Vision
Style-content separation by anisotropic part scales
ACM SIGGRAPH Asia 2010 papers
International Journal of Computer Vision
Boundary aligned smooth 3D cross-frame field
Proceedings of the 2011 SIGGRAPH Asia Conference
Sparse zonal harmonic factorization for efficient SH rotation
ACM Transactions on Graphics (TOG)
Example-based synthesis of 3D object arrangements
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
A GPU based high-efficient and accurate optimal pose alignment approach of 3D objects
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Reshuffle-based interior scene synthesis
Proceedings of the 12th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry
SymPan: 3D model pose normalization via panoramic views and reflective symmetry
3DOR '13 Proceedings of the Sixth Eurographics Workshop on 3D Object Retrieval
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In many shape analysis applications, the ability to find the best rotation that aligns two models is an essential first step in the analysis process. In the past, methods for model alignment have either used normalization techniques, such as PCA alignment, or have performed an exhaustive search over the space of rotation to find the best optimal alignment. While normalization techniques have the advantage of efficiency, providing a quick method for registering two shapes, they are often imprecise and can give rise to poor alignments. Conversely, exhaustive search is guaranteed to provide the correct answer, but, even using efficient signal processing techniques, this type of approach can be prohibitively slow. In this paper, we present a new method for aligning two 3D shapes. We show that the method is markedly faster than existing approaches based on efficient signal processing and we provide registration results demonstrating that the alignments obtained using our method have a high degree of precision and are markedly better than those obtained using normalization.