Fundamentals of digital image processing
Fundamentals of digital image processing
Discrete cosine transform: algorithms, advantages, applications
Discrete cosine transform: algorithms, advantages, applications
Active shape models—their training and application
Computer Vision and Image Understanding
Motion editing with spacetime constraints
Proceedings of the 1997 symposium on Interactive 3D graphics
Retargetting motion to new characters
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Comparing constraint-based motion editing methods
Graphical Models
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
Stochastic Tracking of 3D Human Figures Using 2D Image Motion
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part II
Kernel Principal Component Analysis
ICANN '97 Proceedings of the 7th International Conference on Artificial Neural Networks
TensorTextures: multilinear image-based rendering
ACM SIGGRAPH 2004 Papers
Synthesizing physically realistic human motion in low-dimensional, behavior-specific spaces
ACM SIGGRAPH 2004 Papers
Mood swings: expressive speech animation
ACM Transactions on Graphics (TOG)
SCAPE: shape completion and animation of people
ACM SIGGRAPH 2005 Papers
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
Performance animation from low-dimensional control signals
ACM SIGGRAPH 2005 Papers
Self-Calibrating Optical Motion Tracking for Articulated Bodies
VR '05 Proceedings of the 2005 IEEE Conference 2005 on Virtual Reality
Separating Style and Content with Bilinear Models
Neural Computation
Capturing and animating skin deformation in human motion
ACM SIGGRAPH 2006 Papers
Compression of motion capture databases
ACM SIGGRAPH 2006 Papers
Estimation of missing markers in human motion capture
The Visual Computer: International Journal of Computer Graphics
Capturing and animating occluded cloth
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2007 papers
Reconstruction of deforming geometry from time-varying point clouds
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Gaussian Process Dynamical Models for Human Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Performance capture from sparse multi-view video
ACM SIGGRAPH 2008 papers
Numerical Geometry of Non-Rigid Shapes
Numerical Geometry of Non-Rigid Shapes
DynaMMo: mining and summarization of coevolving sequences with missing values
Proceedings of the 15th ACM SIGKDD international conference on Knowledge discovery and data mining
Interactive generation of human animation with deformable motion models
ACM Transactions on Graphics (TOG)
Bilinear Models for Spatio-Temporal Point Distribution Analysis
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
ACM SIGGRAPH 2010 papers
Stable spaces for real-time clothing
ACM SIGGRAPH 2010 papers
Direct Manipulation Blendshapes
IEEE Computer Graphics and Applications
Example-Based Human Motion Denoising
IEEE Transactions on Visualization and Computer Graphics
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Human attributes from 3D pose tracking
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Trajectory Space: A Dual Representation for Nonrigid Structure from Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast spatio-temporal free-form registration of cardiac MR image sequences
FIMH'05 Proceedings of the Third international conference on Functional Imaging and Modeling of the Heart
Efficient articulated trajectory reconstruction using dynamic programming and filters
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part I
Latent nonuniform splines for animation approximation
SIGGRAPH Asia 2012 Technical Briefs
Analyzing growing plants from 4D point cloud data
ACM Transactions on Graphics (TOG)
A Simple Prior-Free Method for Non-rigid Structure-from-Motion Factorization
International Journal of Computer Vision
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A variety of dynamic objects, such as faces, bodies, and cloth, are represented in computer graphics as a collection of moving spatial landmarks. Spatiotemporal data is inherent in a number of graphics applications including animation, simulation, and object and camera tracking. The principal modes of variation in the spatial geometry of objects are typically modeled using dimensionality reduction techniques, while concurrently, trajectory representations like splines and autoregressive models are widely used to exploit the temporal regularity of deformation. In this article, we present the bilinear spatiotemporal basis as a model that simultaneously exploits spatial and temporal regularity while maintaining the ability to generalize well to new sequences. This factorization allows the use of analytical, predefined functions to represent temporal variation (e.g., B-Splines or the Discrete Cosine Transform) resulting in efficient model representation and estimation. The model can be interpreted as representing the data as a linear combination of spatiotemporal sequences consisting of shape modes oscillating over time at key frequencies. We apply the bilinear model to natural spatiotemporal phenomena, including face, body, and cloth motion data, and compare it in terms of compaction, generalization ability, predictive precision, and efficiency to existing models. We demonstrate the application of the model to a number of graphics tasks including labeling, gap-filling, denoising, and motion touch-up.