Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
3D Model Retrieval with Spherical Harmonics and Moments
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Computer Aided Geometric Design
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
Feature-based similarity search in 3D object databases
ACM Computing Surveys (CSUR)
Robust 3D Shape Correspondence in the Spectral Domain
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Manifold Regularization: A Geometric Framework for Learning from Labeled and Unlabeled Examples
The Journal of Machine Learning Research
Multivariate Density-Based 3D Shape Descriptors
SMI '07 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2007
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
A survey of content based 3D shape retrieval methods
Multimedia Tools and Applications
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Laplace-Beltrami spectra as 'Shape-DNA' of surfaces and solids
Computer-Aided Design
Three-dimensional shape searching: state-of-the-art review and future trends
Computer-Aided Design
Force field based expression for 3D shape retrieval
HCI'07 Proceedings of the 12th international conference on Human-computer interaction: interaction platforms and techniques
SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data
Computers and Graphics
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We introduce a new 3D shape descriptor which maps the surface features onto an arbitrary template surface using mean-value interpolation. A compact numerical shape descriptor is extracted using manifold harmonics on the template. We show that mean-value interpolation is a strong alternative to the often used projection. The utility of using different templates is established by showing that concatenating descriptors coming from different templates improves retrieval quality.