A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Spectral compression of mesh geometry
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Computer Aided Geometric Design
3D zernike descriptors for content based shape retrieval
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
3-D model-based tracking of humans in action: a multi-view approach
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Rotation invariant spherical harmonic representation of 3D shape descriptors
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A Reflective Symmetry Descriptor for 3D Models
Algorithmica
ACM SIGGRAPH 2004 Papers
Symmetry descriptors and 3D shape matching
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Similarity-based surface modelling using geodesic fans
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ACM SIGGRAPH 2005 Papers
Curvature Maps for Local Shape Comparison
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Salient geometric features for partial shape matching and similarity
ACM Transactions on Graphics (TOG)
Smoothing by Example: Mesh Denoising by Averaging with Similarity-Based Weights
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Laplace-Beltrami Eigenfunctions Towards an Algorithm That "Understands" Geometry
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
A planar-reflective symmetry transform for 3D shapes
ACM SIGGRAPH 2006 Papers
Partial and approximate symmetry detection for 3D geometry
ACM SIGGRAPH 2006 Papers
Graphical Models - Special issue on PG2004
Feature-preserving non-local denoising of static and time-varying range data
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Rotational symmetry field design on surfaces
ACM SIGGRAPH 2007 papers
Folding meshes: hierarchical mesh segmentation based on planar symmetry
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Symmetry-enhanced remeshing of surfaces
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
N-symmetry direction field design
ACM Transactions on Graphics (TOG)
Discovering structural regularity in 3D geometry
ACM SIGGRAPH 2008 papers
Improving Zernike Moments Comparison for Optimal Similarity and Rotation Angle Retrieval
IEEE Transactions on Pattern Analysis and Machine Intelligence
Symmetry-Aware Mesh Processing
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Partial intrinsic reflectional symmetry of 3D shapes
ACM SIGGRAPH Asia 2009 papers
Global intrinsic symmetries of shapes
SGP '08 Proceedings of the Symposium on Geometry Processing
A concise and provably informative multi-scale signature based on heat diffusion
SGP '09 Proceedings of the Symposium on Geometry Processing
Semantic 3D Media and Content: Surface partial matching and application to archaeology
Computers and Graphics
A graph-based approach to symmetry detection
SPBG'08 Proceedings of the Fifth Eurographics / IEEE VGTC conference on Point-Based Graphics
Mesh saliency with global rarity
Graphical Models
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In recent years, we have witnessed a striking increase in research concerning how to describe a meshed surface. These descriptors are commonly used to encode mesh properties or guide mesh processing, not to augment existing computations by replication. In this work, we first define a robust surface descriptor based on a local height field representation, and present a transformation via the extraction of Zernike moments. Unlike previous work, our local surface descriptor is innately rotationally invariant. Second, equipped with this novel descriptor, we present SAMPLE - similarity augmented mesh processing using local exemplars - a method which uses feature neighbourhoods to propagate mesh processing done in one part of the mesh, the local exemplar, to many others. Finally, we show that SAMPLE can be used in a number of applications, such as detail transfer and parameterization.