3DPO: A three-dimensional part orientation system
International Journal of Robotics Research
IEEE Transactions on Pattern Analysis and Machine Intelligence
Curvature-based representation of objects from range data
Image and Vision Computing
International Journal of Robotics Research
Direct least-squares fitting of algebraic surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Surfaces in range image understanding
Surfaces in range image understanding
Bayesian Clustering for Unsupervised Estimation of Surface and Texture Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
The complexity of robot motion planning
The complexity of robot motion planning
Segmentation through Variable-Order Surface Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Data-Driven Intermediate Level Feature Extraction Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Least Square Estimation with Applications to Digital Signal Processing
Least Square Estimation with Applications to Digital Signal Processing
Representation and recognition of objects from dense range maps
Representation and recognition of objects from dense range maps
Shape recovery and segmentation with deformable part models
Shape recovery and segmentation with deformable part models
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
The Multiple Window Parameter Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence
Describing Complicated Objects by Implicit Polynomials
IEEE Transactions on Pattern Analysis and Machine Intelligence
Distance approximations for rasterizing implicit curves
ACM Transactions on Graphics (TOG)
Using Geometric Distance Fits for 3-D Object Modeling and Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Bayesian Segmentation Methodology for Parametric Image Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Local Invariants For Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Determining Pose of 3D Objects With Curved Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Implicit Simplicial Models for Adaptive Curve Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
COSMOS-A Representation Scheme for 3D Free-Form Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Development and Comparison of Robust Methodsfor Estimating the Fundamental Matrix
International Journal of Computer Vision
Linear Programming Fitting of Implicit Polynomials
IEEE Transactions on Pattern Analysis and Machine Intelligence
Segmenting Images Corrupted by Correlated Noise
IEEE Transactions on Pattern Analysis and Machine Intelligence
Journal of VLSI Signal Processing Systems - special issue on applications of neural networks in biomedical image processing
Fitting Curves and Surfaces With Constrained Implicit Polynomials
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Interactive Object Shape Modeling Using Algebraic Curves
Journal of VLSI Signal Processing Systems - special issue on multimedia signal processing
A Robust Competitive Clustering Algorithm With Applications in Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct Least Square Fitting of Ellipses
IEEE Transactions on Pattern Analysis and Machine Intelligence
Implicit Polynomials, Orthogonal Distance Regression, and the Closest Point on a Curve
IEEE Transactions on Pattern Analysis and Machine Intelligence
The 3L Algorithm for Fitting Implicit Polynomial Curves and Surfaces to Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognizing 3D Objects Using Tactile Sensing and Curve Invariants
Journal of Mathematical Imaging and Vision
Heteroscedastic Regression in Computer Vision: Problems with Bilinear Constraint
International Journal of Computer Vision - Special issue on a special section on visual surveillance
On the Fitting of Surfaces to Data with Covariances
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Segmentation of Primitives from Range Data in the Presence of Geometric Degeneracy
IEEE Transactions on Pattern Analysis and Machine Intelligence
Rationalising the Renormalisation Method of Kanatani
Journal of Mathematical Imaging and Vision
A Bayesian Method for Fitting Parametric and Nonparametric Models to Noisy Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
A survey of methods for recovering quadrics in triangle meshes
ACM Computing Surveys (CSUR)
Orthogonal Distance Fitting of Implicit Curves and Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Dual/Primal mesh optimization for polygonized implicit surfaces
Proceedings of the seventh ACM symposium on Solid modeling and applications
Best-fit of implicit surfaces and plane curves
Mathematical Methods for Curves and Surfaces
Bounding the Hausdorff distance between implicitly defined and/or parametric curves
Mathematical Methods for Curves and Surfaces
Assembling virtual pots from 3D measurements of their fragments
Proceedings of the 2001 conference on Virtual reality, archeology, and cultural heritage
Locating and Recognizing Text in WWW Images
Information Retrieval
Parameterized Families of Polynomials for Bounded Algebraic Curve and Surface Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Estimation for Range Image Segmentation and Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Using Symbolic Computation to Find Algebraic Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Recovering Hyperquadrics from Range Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonparametric Segmentation of Curves into Various Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reconstructing Surfaces by Volumetric Regularization Using Radial Basis Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Maximum-Likelihood Surface Estimator for Dense Range Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pattern Recognition Letters
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
Hand Recognition Using Implicit Polynomials and Geometric Features
AVBPA '01 Proceedings of the Third International Conference on Audio- and Video-Based Biometric Person Authentication
ECSQARU '01 Proceedings of the 6th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Pros and Cons of Euclidean Fitting
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Least Squares Orthogonal Distance Fitting of Implicit Curves and Surfaces
Proceedings of the 23rd DAGM-Symposium on Pattern Recognition
Range image reconstruction based on robust multiresolution estimation of surface parameters
Pattern Recognition Letters
Implicitization of Parametric Curves by Matrix Annihilation
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
Journal of Computational Physics
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Computationally fast Bayesian recognition of complex objects based on mutual algebraic invariants
ICIP '95 Proceedings of the 1995 International Conference on Image Processing (Vol.2)-Volume 2 - Volume 2
Combining implicit polynomials and geometric features for hand recognition
Pattern Recognition Letters - Special issue: Audio- and video-based biometric person authentication (AVBPA 2001)
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Approximate implicitization via curve fitting
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Covariant-Conics Decomposition of Quartics for 2D Shape Recognition and Alignment
Journal of Mathematical Imaging and Vision
Topologically Faithful Fitting of Simple Closed Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Formal Classification of 3D Medial Axis Points and Their Local Geometry
IEEE Transactions on Pattern Analysis and Machine Intelligence
Higher-Order Nonlinear Priors for Surface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Least-squares fitting for deformable superquadric model based on orthogonal distance
Pattern Recognition Letters
On the complexity of curve fitting algorithms
Journal of Complexity
Stable Fitting of 2D Curves and 3D Surfaces by Implicit Polynomials
IEEE Transactions on Pattern Analysis and Machine Intelligence
Asymptotics for length and trajectory from cumulative chord piecewise-quartics
Fundamenta Informaticae
Least Squares Fitting of Circles
Journal of Mathematical Imaging and Vision
Approximate algebraic methods for curves and surfaces and their applications
Proceedings of the 21st spring conference on Computer graphics
Computer Aided Geometric Design
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
Image-based pan-tilt camera control in a multi-camera surveillance environment
ICME '03 Proceedings of the 2003 International Conference on Multimedia and Expo - Volume 2
Multi-level partition of unity implicits
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Application of the Fisher-Rao Metric to Ellipse Detection
International Journal of Computer Vision
Least-squares-based fitting of paraboloids
Pattern Recognition
A model based approach for pose estimation and rotation invariant object matching
Pattern Recognition Letters
Rapid prototyping 3D objects from scanned measurement data
Image and Vision Computing
On the Convergence of Fitting Algorithms in Computer Vision
Journal of Mathematical Imaging and Vision
Hierarchical error-driven approximation of implicit surfaces from polygonal meshes
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Overfitting control for surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Performance evaluation of iterative geometric fitting algorithms
Computational Statistics & Data Analysis
Direct type-specific conic fitting and eigenvalue bias correction
Image and Vision Computing
International Journal of Computer Vision
Implicit Surface Reconstruction from Scattered Point Data with Noise
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Front tracking with moving-least-squares surfaces
Journal of Computational Physics
Computer Aided Geometric Design
Compact Fundamental Matrix Computation
PSIVT '09 Proceedings of the 3rd Pacific Rim Symposium on Advances in Image and Video Technology
Error Analysis in Homography Estimation by First Order Approximation Tools: A General Technique
Journal of Mathematical Imaging and Vision
Semi-automatic Annotations in Unknown Environments
ISMAR '07 Proceedings of the 2007 6th IEEE and ACM International Symposium on Mixed and Augmented Reality
2D piecewise algebraic splines for implicit modeling
ACM Transactions on Graphics (TOG)
3D Model Segmentation and Representation with Implicit Polynomials
IEICE - Transactions on Information and Systems
A Two-Stage Point Pattern Matching Algorithm Using Ellipse Fitting and Dual Hilbert Scans
IEICE - Transactions on Information and Systems
Multiple ellipses detection in noisy environments: A hierarchical approach
Pattern Recognition
Computer Aided Geometric Design
Fitting conics to paracatadioptric projections of lines
Computer Vision and Image Understanding
Fast Iris Segmentation by Rotation Average Analysis of Intensity-Inversed Image
AICI '09 Proceedings of the International Conference on Artificial Intelligence and Computational Intelligence
An autonomous robotic system for load transportation
ETFA'09 Proceedings of the 14th IEEE international conference on Emerging technologies & factory automation
Grouping of articulated objects with common axis
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Robust Algebraic Segmentation of Mixed Rigid-Body and Planar Motions from Two Views
International Journal of Computer Vision
Adaptively determining degrees of implicit polynomial curves and surfaces
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Conic fitting using the geometric distance
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part II
Recognition of computationally constructed loci
ADG'06 Proceedings of the 6th international conference on Automated deduction in geometry
Estimating homographies without normalization
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Adaptive surface reconstruction based on implicit PHT-splines
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
CAR'10 Proceedings of the 2nd international Asia conference on Informatics in control, automation and robotics - Volume 3
ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
Faithful recovering of quadric surfaces from 3D range data
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
Automatic body measurement for mass customization of garments
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
Curvature estimation for segmentation of triangulated surfaces
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
CC-RANSAC: Fitting planes in the presence of multiple surfaces in range data
Pattern Recognition Letters
Approximate implicitization of triangular Bézier surfaces
Proceedings of the 26th Spring Conference on Computer Graphics
Robust radial distortion from a single image
ISVC'10 Proceedings of the 6th international conference on Advances in visual computing - Volume Part II
Hyper least squares fitting of circles and ellipses
Computational Statistics & Data Analysis
Optical signal processing with illumination-encoded filters
Computer Vision and Image Understanding
Temporal super resolution from a single quasi-periodic image sequence based on phase registration
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part I
Multi-level partition of unity algebraic point set surfaces
Journal of Computer Science and Technology
SMI 2011: Full Paper: Feature based volumes for implicit intersections
Computers and Graphics
Hypersurface fitting via jacobian nonlinear PCA on riemannian space
CAIP'11 Proceedings of the 14th international conference on Computer analysis of images and patterns - Volume Part I
Parallel and adaptive surface reconstruction based on implicit PHT-splines
Computer Aided Geometric Design
Ellipse fitting with hyperaccuracy
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Fast polynomial segmentation of digitized curves
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Multilevel algebraic invariants extraction by incremental fitting scheme
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part I
Quadric surface extraction by variational shape approximation
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Direct estimation of homogeneous vectors: an ill-solved problem in computer vision
ICVGIP'06 Proceedings of the 5th Indian conference on Computer Vision, Graphics and Image Processing
Noisy Iris Recognition Integrated Scheme
Pattern Recognition Letters
Volumetric geometry reconstruction of turbine blades for aircraft engines
Proceedings of the 7th international conference on Curves and Surfaces
Computational Statistics & Data Analysis
Variational mesh segmentation via quadric surface fitting
Computer-Aided Design
Asymptotics for Length and Trajectory from Cumulative Chord Piecewise-Quartics
Fundamenta Informaticae
Parsing architecture within plan drawings with application to medieval castles and fortresses
VAST'09 Proceedings of the 10th International conference on Virtual Reality, Archaeology and Cultural Heritage
Efficient and prioritized point subsampling for CSRBF compression
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
A parameterless line segment and elliptical arc detector with enhanced ellipse fitting
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part II
Renormalization returns: hyper-renormalization and its applications
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part III
Local implicit modeling of blood vessels for interactive simulation
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Automatic Radial Distortion Estimation from a Single Image
Journal of Mathematical Imaging and Vision
Accurate reconstruction of engineered models with surfaces of revolution
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
Robust hypersurface fitting based on random sampling approximations
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part III
Optimization techniques for geometric estimation: beyond minimization
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
Generalized, basis-independent kinematic surface fitting
Computer-Aided Design
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Algorithms for projecting points onto conics
Journal of Computational and Applied Mathematics
A novel tool for segmenting 3D medical images based on generalized cylinders and active surfaces
Computer Methods and Programs in Biomedicine
Geometric property based ellipse detection method
Journal of Visual Communication and Image Representation
Efficient detection of symmetries of polynomially parametrized curves
Journal of Computational and Applied Mathematics
Axis estimation and grouping of rotationally symmetric object segments
Pattern Recognition
A coarse-to-fine IP-driven registration for pose estimation from single ultrasound image
Computer Vision and Image Understanding
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The author addresses the problem of parametric representation and estimation of complex planar curves in 2-D surfaces in 3-D, and nonplanar space curves in 3-D. Curves and surfaces can be defined either parametrically or implicitly, with the latter representation used here. A planar curve is the set of zeros of a smooth function of two variables x-y, a surface is the set of zeros of a smooth function of three variables x-y-z, and a space curve is the intersection of two surfaces, which are the set of zeros of two linearly independent smooth functions of three variables x-y-z For example, the surface of a complex object in 3-D can be represented as a subset of a single implicit surface, with similar results for planar and space curves. It is shown how this unified representation can be used for object recognition, object position estimation, and segmentation of objects into meaningful subobjects, that is, the detection of 'interest regions' that are more complex than high curvature regions and, hence, more useful as features for object recognition.