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Multiresolution signal processing for meshes
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Displaced subdivision surfaces
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Proceedings of the 27th annual conference on Computer graphics and interactive techniques
The digital Michelangelo project: 3D scanning of large statues
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Spectral compression of mesh geometry
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Surfels: surface elements as rendering primitives
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
QSplat: a multiresolution point rendering system for large meshes
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Determining the minimum-area encasing rectangle for an arbitrary closed curve
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Digital Image Processing
Multidimensional Digital Signal Processing
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Fast and Robust Smallest Enclosing Balls
ESA '99 Proceedings of the 7th Annual European Symposium on Algorithms
Pointshop 3D: an interactive system for point-based surface editing
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Interactive geometry remeshing
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PMR: point to mesh rendering, a feature-based approach
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Efficient simplification of point-sampled surfaces
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Interactive boolean operations on surfel-bounded solids
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Non-iterative, feature-preserving mesh smoothing
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IEEE Computer Graphics and Applications
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Feature-preserving non-local denoising of static and time-varying range data
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Constraint-based fairing of surface meshes
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Moving parabolic approximation of point clouds
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GI '08 Proceedings of graphics interface 2008
Frequency-based representation of 3D point-based surfaces using spherical harmonics
Machine Graphics & Vision International Journal
Adaptive feature-preserving non-local denoising of static and time-varying range data
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Spectral moving removal of non-isolated surface outlier clusters
Computer-Aided Design
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Computers and Graphics
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SGP '09 Proceedings of the Symposium on Geometry Processing
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Computer-Aided Design
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ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part II
Bilateral estimation of vertex normal for point-sampled models
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Practical boolean operations on point-sampled models
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Curvature estimation of point-sampled surfaces and its applications
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Progressive decomposition of point clouds without local planes
ICVGIP'06 Proceedings of the 5th Indian conference on Computer Vision, Graphics and Image Processing
Empirical mode decomposition on surfaces
Graphical Models
Continuous and discrete Mexican hat wavelet transforms on manifolds
Graphical Models
Detail-preserving surface inpainting
VAST'05 Proceedings of the 6th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
Rapid visualization of large point-based surfaces
VAST'05 Proceedings of the 6th International conference on Virtual Reality, Archaeology and Intelligent Cultural Heritage
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
Post-processing of scanned 3D surface data
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Compression of point-based 3D models by shape-adaptive wavelet coding of multi-height fields
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Points reloaded: point-based rendering revisited
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Computing variation modes for point set surfaces
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Conversion of point-sampled models to textured meshes
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Perceptually guided rendering of textured point-based models
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
Octree-based point-cloud compression
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
Multi-resolutive sparse approximations of d-dimensional data
Computer Vision and Image Understanding
Feature line extraction from unorganized noisy point clouds using truncated Fourier series
The Visual Computer: International Journal of Computer Graphics
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We present a new framework for processing point-sampled objects using spectral methods. By establishing a concept of local frequencies on geometry, we introduce a versatile spectral representation that provides a rich repository of signal processing algorithms. Based on an adaptive tesselation of the model surface into regularly resampled displacement fields, our method computes a set of windowed Fourier transforms creating a spectral decomposition of the model. Direct analysis and manipulation of the spectral coefficients supports effective filtering, resampling, power spectrum analysis and local error control. Our algorithms operate directly on points and normals, requiring no vertex connectivity information. They are computationally efficient, robust and amenable to hardware acceleration. We demonstrate the performance of our framework on a selection of example applications including noise removal, enhancement, restoration and subsampling.