An algebraic approach to shape-from-image problems
Artificial Intelligence
Three-dimensional object recognition
ACM Computing Surveys (CSUR) - Annals of discrete mathematics, 24
The representation, recognition, and locating of 3-d objects
International Journal of Robotics Research
New methods for matching 3-D objects with single perspective views
IEEE Transactions on Pattern Analysis and Machine Intelligence
Localizing Overlapping Parts by Searching the Interpretation Tree
IEEE Transactions on Pattern Analysis and Machine Intelligence
On the classification of views of piecewise smooth objects
Image and Vision Computing - Special issue: papers from the second Alvey Vision Conference
Trimmed-surface algorithms for the evaluation and interrogation of solid boundary representations
IBM Journal of Research and Development
Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
The complexity of robot motion planning
The complexity of robot motion planning
On the Recognition of Curved Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Invariant Properties of Straight Homogeneous Generalized Cylinders and Their Contours
IEEE Transactions on Pattern Analysis and Machine Intelligence
Applications of Gro¨bner bases in non-linear computational geometry
Trends in computer algebra
Computing exact aspect graphs of curved objects: solid of revolution
International Journal of Computer Vision
Ray tracing parametric patches
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
Finding Edges and Lines in Images
Finding Edges and Lines in Images
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)
IEEE Transactions on Pattern Analysis and Machine Intelligence
Using Geometric Distance Fits for 3-D Object Modeling and Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Seeing Spaghetti: Self-Adjusting Piecewise Toroidal Recognition of Flexible Extruded Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Determining Pose of 3D Objects With Curved Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D Surface Reconstruction Using Occluding Contours
International Journal of Computer Vision
Full Volumetric Descriptions From Three Intensity Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognition Using Region Correspondences
International Journal of Computer Vision
Automatic Model Construction and Pose Estimation From Photographs Using Triangular Splines
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Hierarchical Discriminant Analysis for Image Retrieval
IEEE Transactions on Pattern Analysis and Machine Intelligence
VC-Dimension Analysis of Object Recognition Tasks
Journal of Mathematical Imaging and Vision
Automatic Detection of Human Nudes
International Journal of Computer Vision - 1998 Marr Prize
The 3L Algorithm for Fitting Implicit Polynomial Curves and Surfaces to Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shock Graphs and Shape Matching
International Journal of Computer Vision
Recognizing 3D Objects Using Tactile Sensing and Curve Invariants
Journal of Mathematical Imaging and Vision
3-D to 2-D Pose Determination with Regions
International Journal of Computer Vision - Special issue on computer vision research at NEC Research Institute
Hierarchical Discriminant Regression
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multimedia Tools and Applications
3D Object recognition in cluttered environments by segment-based stereo vision
International Journal of Computer Vision
Parameterized Families of Polynomials for Bounded Algebraic Curve and Surface Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Toward Object-Based Heuristics
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric Primitive Extraction Using a Genetic Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Using Symbolic Computation to Find Algebraic Invariants
IEEE Transactions on Pattern Analysis and Machine Intelligence
Duals, Invariants, and the Recognition of Smooth Objects from their Occlucing Contours
ECCV '00 Proceedings of the 6th European Conference on Computer Vision-Part I
Shape, Contour and Grouping in Computer Vision
Assistance for telepresence by stereovision-based augmented reality and interactivity in 3D space
Presence: Teleoperators and Virtual Environments
A bin picking system based on depth from defocus
Machine Vision and Applications
A Fast Image Retrieval Algorithm with Automatically Extracted Discriminant Features
CBAIVL '99 Proceedings of the IEEE Workshop on Content-Based Access of Image and Video Libraries
VRAIS '96 Proceedings of the 1996 Virtual Reality Annual International Symposium (VRAIS 96)
Non-rigid registration using distance functions
Computer Vision and Image Understanding - Special issue on nonrigid image registration
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
Curve and Surface Duals and the Recognition of Curved 3D Objects from their Silhouettes
International Journal of Computer Vision - Special Issue on Computer Vision Research at the Beckman Institute of Advanced Science and Technology
The Visual Hull of Smooth Curved Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Seat detection in a car for a smart airbag application
Pattern Recognition Letters
Hierarchical error-driven approximation of implicit surfaces from polygonal meshes
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
A new recognition method for natural images
WSEAS Transactions on Computers
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An approach for explicitly relating the shape of image contours to models of curved three-dimensional objects is presented. This relationship is used for object recognition and positioning. Object models consist of collections of parametric surface patches and their intersection curves; this includes nearly all representations used in computer-aided geometric design and computer vision. The image contours considered are the projections of surface discontinuities and occluding contours. Elimination theory provides a method for constructing the implicit equation of these contours for an object observed under orthographic or perspective projection. This equation is parameterized by the object's position and orientation with respect to the observer. Determining these parameters is reduced to a fitting problem between the theoretical contour and the observed data points. The proposed approach readily extends to parameterized models. It has been implemented for a simple world composed of various surfaces of revolution and tested on several real images.