Reflectance and texture of real-world surfaces
ACM Transactions on Graphics (TOG)
Surface light fields for 3D photography
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Fast texture synthesis using tree-structured vector quantization
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
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
Image quilting for texture synthesis and transfer
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Real-time texture synthesis by patch-based sampling
ACM Transactions on Graphics (TOG)
Light field mapping: efficient representation and hardware rendering of surface light fields
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
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
Rank-One Approximation to High Order Tensors
SIAM Journal on Matrix Analysis and Applications
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
Texture Synthesis by Non-Parametric Sampling
ICCV '99 Proceedings of the International Conference on Computer Vision-Volume 2 - Volume 2
Graphcut textures: image and video synthesis using graph cuts
ACM SIGGRAPH 2003 Papers
Facial Expression Decomposition
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Synthesis and Rendering of Bidirectional Texture Functions on Arbitrary Surfaces
IEEE Transactions on Visualization and Computer Graphics
TensorTextures: multilinear image-based rendering
ACM SIGGRAPH 2004 Papers
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Face transfer with multilinear models
ACM SIGGRAPH 2005 Papers
Out-of-core tensor approximation of multi-dimensional matrices of visual data
ACM SIGGRAPH 2005 Papers
Texture optimization for example-based synthesis
ACM SIGGRAPH 2005 Papers
Clustered Blockwise PCA for Representing Visual Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Sparse Image Coding Using a 3D Non-Negative Tensor Factorization
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
Image clustering with tensor representation
Proceedings of the 13th annual ACM international conference on Multimedia
Fast adaptive wavelet packet image compression
IEEE Transactions on Image Processing
The contourlet transform: an efficient directional multiresolution image representation
IEEE Transactions on Image Processing
Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries
IEEE Transactions on Image Processing
Symmetric photography: exploiting data-sparseness in reflectance fields
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
Compression and direct manipulation of complex blendshape models
Proceedings of the 2011 SIGGRAPH Asia Conference
K-clustered tensor approximation: A sparse multilinear model for real-time rendering
ACM Transactions on Graphics (TOG)
BTF compression via sparse tensor decomposition
EGSR'09 Proceedings of the Twentieth Eurographics conference on Rendering
WebGL-based streaming and presentation framework for bidirectional texture functions
VAST'11 Proceedings of the 12th International conference on Virtual Reality, Archaeology and Cultural Heritage
Parallelized matrix factorization for fast BTF compression
EG PGV'09 Proceedings of the 9th Eurographics conference on Parallel Graphics and Visualization
WebGL-based streaming and presentation of objects with bidirectional texture functions
Journal on Computing and Cultural Heritage (JOCCH)
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
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Visual data comprise of multi-scale and inhomogeneous signals. In this paper, we exploit these characteristics and develop a compact data representation technique based on a hierarchical tensor-based transformation. In this technique, an original multi-dimensional dataset is transformed into a hierarchy of signals to expose its multi-scale structures. The signal at each level of the hierarchy is further divided into a number of smaller tensors to expose its spatially inhomogeneous structures. These smaller tensors are further transformed and pruned using a tensor approximation technique. Our hierarchical tensor approximation supports progressive transmission and partial decompression. Experimental results indicate that our technique can achieve higher compression ratios and quality than previous methods, including wavelet transforms, wavelet packet transforms, and single-level tensor approximation. We have successfully applied our technique to multiple tasks involving multi-dimensional visual data, including medical and scientific data visualization, data-driven rendering and texture synthesis.