SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Reflectance and texture of real-world surfaces
ACM Transactions on Graphics (TOG)
A Multilinear Singular Value Decomposition
SIAM Journal on Matrix Analysis and Applications
On the Best Rank-1 and Rank-(R1,R2,. . .,RN) Approximation of Higher-Order Tensors
SIAM Journal on Matrix Analysis and Applications
Synthesizing bidirectional texture functions for real-world surfaces
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Light field mapping: efficient representation and hardware rendering of surface light fields
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Synthesis of bidirectional texture functions on arbitrary surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Animation and rendering of complex water surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Appearance based object modeling using texture database: acquisition, compression and rendering
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Volume Rendering of DCT-Based Compressed 3D Scalar Data
IEEE Transactions on Visualization and Computer Graphics
Incremental Singular Value Decomposition of Uncertain Data with Missing Values
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Multilinear Analysis of Image Ensembles: TensorFaces
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Wavelet Based 3D Compression with Fast Random Access for Very Large Volume Data
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Recognizing Surfaces Using Three-Dimensional Textons
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Measuring bidirectional texture reflectance with a kaleidoscope
ACM SIGGRAPH 2003 Papers
A data-driven reflectance model
ACM SIGGRAPH 2003 Papers
Precomputing interactive dynamic deformable scenes
ACM SIGGRAPH 2003 Papers
Efficient and realistic visualization of cloth
EGRW '03 Proceedings of the 14th Eurographics workshop on Rendering
Facial Expression Decomposition
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Two-Dimensional PCA: A New Approach to Appearance-Based Face Representation and Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Synthesis and Rendering of Bidirectional Texture Functions on Arbitrary Surfaces
IEEE Transactions on Visualization and Computer Graphics
Generalized low rank approximations of matrices
ICML '04 Proceedings of the twenty-first international conference on Machine learning
TensorTextures: multilinear image-based rendering
ACM SIGGRAPH 2004 Papers
Shadow Graphs and 3D Texture Reconstruction
International Journal of Computer Vision - Special Issue on Texture Analysis and Synthesis
Rendering Deformable Surface Reflectance Fields
IEEE Transactions on Visualization and Computer Graphics
Controllable smoke animation with guiding objects
ACM Transactions on Graphics (TOG)
Model reduction for real-time fluids
ACM SIGGRAPH 2006 Papers
Dynamic, expressive speech animation from a single mesh
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Interactive relighting with dynamic BRDFs
ACM SIGGRAPH 2007 papers
Hierarchical Tensor Approximation of Multi-Dimensional Visual Data
IEEE Transactions on Visualization and Computer Graphics
A Tensor Approximation Approach to Dimensionality Reduction
International Journal of Computer Vision
Heterogeneous data fusion for alzheimer's disease study
Proceedings of the 14th ACM SIGKDD international conference on Knowledge discovery and data mining
IEICE - Transactions on Information and Systems
AAAI'06 Proceedings of the 21st national conference on Artificial intelligence - Volume 1
Principles of Appearance Acquisition and Representation
Foundations and Trends® in Computer Graphics and Vision
International Journal of Computer Vision
Synthesis and editing of personalized stylistic human motion
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
Feature extraction by learning Lorentzian metric tensor and its extensions
Pattern Recognition
A new implementation of common matrix approach using third-order tensors for face recognition
Expert Systems with Applications: An International Journal
Building volumetric appearance models of fabric using micro CT imaging
ACM SIGGRAPH 2011 papers
Matrix-variate and higher-order probabilistic projections
Data Mining and Knowledge Discovery
Advanced textural representation of materials appearance
SIGGRAPH Asia 2011 Courses
Bilinear spatiotemporal basis models
ACM Transactions on Graphics (TOG)
K-clustered tensor approximation: A sparse multilinear model for real-time rendering
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
BTF compression via sparse tensor decomposition
EGSR'09 Proceedings of the Twentieth Eurographics conference on Rendering
Sparse lumigraph relighting by illumination and reflectance estimation from multi-view images
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Symmetric photography: exploiting data-sparseness in reflectance fields
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Parallelized matrix factorization for fast BTF compression
EG PGV'09 Proceedings of the 9th Eurographics conference on Parallel Graphics and Visualization
Robust tensor classifiers for color object recognition
ICIAR'07 Proceedings of the 4th international conference on Image Analysis and Recognition
Technical Section: Interactive high fidelity visualization of complex materials on the GPU
Computers and Graphics
TAMRESH - tensor approximation multiresolution hierarchy for interactive volume visualization
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
| Hi-index | 0.00 |
Tensor approximation is necessary to obtain compact multilinear models for multi-dimensional visual datasets. Traditionally, each multi-dimensional data item is represented as a vector. Such a scheme flattens the data and partially destroys the internal structures established throughout the multiple dimensions. In this paper, we retain the original dimensionality of the data items to more effectively exploit existing spatial redundancy and allow more efficient computation. Since the size of visual datasets can easily exceed the memory capacity of a single machine, we also present an out-of-core algorithm for higher-order tensor approximation. The basic idea is to partition a tensor into smaller blocks and perform tensor-related operations blockwise. We have successfully applied our techniques to three graphics-related data-driven models, including 6D bidirectional texture functions, 7D dynamic BTFs and 4D volume simulation sequences. Experimental results indicate that our techniques can not only process out-of-core data, but also achieve higher compression ratios and quality than previous methods.