A multiresolution spline with application to image mosaics
ACM Transactions on Graphics (TOG)
Three-dimensional object recognition
ACM Computing Surveys (CSUR) - Annals of discrete mathematics, 24
Regularization of inverse visual problems involving discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
On the multi-level splitting of finite element spaces
Numerische Mathematik
Image Analysis Using Multigrid Relaxation Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curvature-based representation of objects from range data
Image and Vision Computing
Visual reconstruction
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Constraints on deformable models: recovering 3D shape and nongrid motion
Artificial Intelligence
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Three-Dimensional Surface Reconstruction Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Dynamic 3D Models with Local and Global Deformations: Deformable Superquadrics
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometrically deformed models: a method for extracting closed geometric models form volume data
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Generalized implicit functions for computer graphics
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Deformable curve and surface finite-elements for free-form shape design
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Surface modeling with oriented particle systems
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Boundary Finding with Parametrically Deformable Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Wavelets and other bases for fast numerical linear algebra
Wavelets: a tutorial in theory and applications
Representations for Rigid Solids: Theory, Methods, and Systems
ACM Computing Surveys (CSUR)
Computer rendering of stochastic models
Communications of the ACM
Constructing Intrinsic Parameters with Active Models for Invariant Surface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
The beta-spline: a local representation based on shape parameters and fundamental geometric measures
The beta-spline: a local representation based on shape parameters and fundamental geometric measures
Bayesian modeling of uncertainty in low-level vision
Bayesian modeling of uncertainty in low-level vision
Numerical Methods
A fast Gibbs sampler for synthesizing constrained fractals
Proceedings of the 7th conference on Visualization '96
IEEE Transactions on Pattern Analysis and Machine Intelligence
Physically Based Adaptive Preconditioning for Early Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Cartoon Animation and Morphing with Wavelet Curve Descriptor
Multidimensional Systems and Signal Processing
Snake Pedals: Compact and Versatile Geometric Models with Physics-Based Control
IEEE Transactions on Pattern Analysis and Machine Intelligence
Deformable Pedal Curves and Surfaces: Hybrid Geometric Active Models for Shape Recovery
International Journal of Computer Vision
A Fast Gibbs Sampler for Synthesizing Constrained Fractals
IEEE Transactions on Visualization and Computer Graphics
Dynamic Catmull-Clark Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
Dynamic Modeling of Butterfly Subdivision Surfaces
IEEE Transactions on Visualization and Computer Graphics
Elastically Adaptive Deformable Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
g-HDAF Multiresolution Deformable Models
AMDO '02 Proceedings of the Second International Workshop on Articulated Motion and Deformable Objects
Improving the Robustness in Extracting 3D Point Landmarks Based on Deformable Models
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Authenticity Analysis of Wavelet Approximations in Visualization
VIS '95 Proceedings of the 6th conference on Visualization '95
MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
Local shape modelling using warplets
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
Ultrasound kidney segmentation with a global prior shape
Journal of Visual Communication and Image Representation
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3D shape modeling has received enormous attention in computer graphics and computer vision over the past decade. Several shape modeling techniques have been proposed in literature, some are local (distributed parameter) while others are global (lumped parameter) in terms of the parameters required to describe the shape. Hybrid models that combine both ends of this parameter spectrum have been in vogue only recently. However, they do not allow a smooth transition between the two extremes of this parameter spectrum.We introduce a new shape-modeling scheme that can transform smoothly from local to global models or vice versa. The modeling scheme utilizes a hybrid primitive called the deformable superquadric constructed in an orthonormal wavelet basis. The multiresolution wavelet basis provides the power to continuously transform from local to global shape deformations and thereby allow for a continuum of shape models—from those with local to those with global shape descriptive power—to be created. The multiresolution wavelet basis allows us to generate fractal surfaces of arbitrary order that can be useful in describing natural detail.We embed these multiresolution shape models in a probabilistic framework and use them for recovery of anatomical structures in the human brain from MRI data. A salient feature of our modeling scheme is that it can naturally allow for the incorporation of prior statistics of a rich variety of shapes. This stems from the fact that, unlike other modeling schemes, in our modeling, we require relatively few parameters to describe a large class of shapes.