Dimension reduction by local principal component analysis
Neural Computation
Nonlinear component analysis as a kernel eigenvalue problem
Neural Computation
Reflectance and texture of real-world surfaces
ACM Transactions on Graphics (TOG)
Realistic, hardware-accelerated shading and lighting
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Illuminating micro geometry based on precomputed visibility
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
On the Best Rank-1 and Rank-(R1,R2,. . .,RN) Approximation of Higher-Order Tensors
SIAM Journal on Matrix Analysis and Applications
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Efficient rendering of spatial bi-directional reflectance distribution functions
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Neural Networks
Atomic Decomposition by Basis Pursuit
SIAM Review
Dictionary learning algorithms for sparse representation
Neural Computation
Multilinear Analysis of Image Ensembles: TensorFaces
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
View-dependent displacement mapping
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
Clustered principal components for precomputed radiance transfer
ACM SIGGRAPH 2003 Papers
A data-driven reflectance model
ACM SIGGRAPH 2003 Papers
Efficient and realistic visualization of cloth
EGRW '03 Proceedings of the 14th Eurographics workshop on Rendering
Fast Environmental Lighting for Local-PCA Encoded BTFs
CGI '04 Proceedings of the Computer Graphics International
TensorTextures: multilinear image-based rendering
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2004 Papers
Variational shape approximation
ACM SIGGRAPH 2004 Papers
ACM Transactions on Graphics (TOG)
Real-time relief mapping on arbitrary polygonal surfaces
Proceedings of the 2005 symposium on Interactive 3D graphics and games
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
Real-time texture-mapped vector glyphs
I3D '06 Proceedings of the 2006 symposium on Interactive 3D graphics and games
Appearance-space texture synthesis
ACM SIGGRAPH 2006 Papers
Inverse shade trees for non-parametric material representation and editing
ACM SIGGRAPH 2006 Papers
Interactive relighting with dynamic BRDFs
ACM SIGGRAPH 2007 papers
Hierarchical Tensor Approximation of Multi-Dimensional Visual Data
IEEE Transactions on Visualization and Computer Graphics
Spherical Piecewise Constant Basis Functions for All-Frequency Precomputed Radiance Transfer
IEEE Transactions on Visualization and Computer Graphics
Bidirectional Texture Function Modeling: A State of the Art Survey
IEEE Transactions on Pattern Analysis and Machine Intelligence
Tensor Decompositions and Applications
SIAM Review
Radiance Transfer Biclustering for Real-Time All-Frequency Biscale Rendering
IEEE Transactions on Visualization and Computer Graphics
Modeling Bidirectional Texture Functions with Multivariate Spherical Radial Basis Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation
IEEE Transactions on Signal Processing
Matching pursuits with time-frequency dictionaries
IEEE Transactions on Signal Processing
BTF compression via sparse tensor decomposition
EGSR'09 Proceedings of the Twentieth Eurographics conference on Rendering
Simulated bidirectional texture functions with silhouette details
Proceedings of Graphics Interface 2013
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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With the increasing demands for photo-realistic image synthesis in real time, we propose a sparse multilinear model, which is named K-Clustered Tensor Approximation (K-CTA), to efficiently analyze and approximate large-scale multidimensional visual datasets, so that both storage space and rendering time are substantially reduced. K-CTA not only extends previous work on Clustered Tensor Approximation (CTA) to exploit inter-cluster coherence, but also allows a compact and sparse representation for high-dimensional datasets with just a few low-order factors and reduced multidimensional cluster core tensors. Thus, K-CTA can be regarded as a sparse extension of CTA and a multilinear generalization of sparse representation. Experimental results demonstrate that K-CTA can accurately approximate spatially varying visual datasets, such as bidirectional texture functions, view-dependent occlusion texture functions, and biscale radiance transfer functions for efficient rendering in real-time applications.