Invariant surface characteristics for 3D object recognition in range images
Computer Vision, Graphics, and Image Processing - Lectures notes in computer science, Vol. 201 (G. Goos and J. Hartmanis, Eds.)
The representation, recognition, and locating of 3-d objects
International Journal of Robotics Research
IEEE Transactions on Pattern Analysis and Machine Intelligence
Segmentation and Classification of Range Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
A stable and efficient algorithm for nonlinear orthogonal distance regression
SIAM Journal on Scientific and Statistical Computing
Direct least-squares fitting of algebraic surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Segmentation through Variable-Order Surface Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Evidence-Based Recognition of 3-D Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast segmentation of range imagery into planar regions
Computer Vision, Graphics, and Image Processing
Range Image Segmentation Based on Differential Geometry: A Hybrid Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Recognizing 3-D Objects Using Surface Descriptions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Solid shape
Inferring Surface Trace and Differential Structure from 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
Representation and recognition of surface shapes in range images: a differential geometry approach
Computer Vision, Graphics, and Image Processing
CAD-Based Computer Vision: From CAD Models to Relational Graphs
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Singularities of Principal Direction Fields from 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Surface Parametrization and Curvature Measurement of Arbitrary 3-D Objects: Five Practical Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
Model-based object recognition in dense-range images—a review
ACM Computing Surveys (CSUR)
Higher-order interpolation and least-squares approximation using implicit algebraic surfaces
ACM Transactions on Graphics (TOG)
Curvature approximation for triangulated surfaces
Geometric modelling
Model-based classification of quadric surfaces
CVGIP: Image Understanding
Approximate orthogonal distance regression method for fitting quadric surfaces to range data
Pattern Recognition Letters
Free-form shape design using triangulated surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Experiments in Curvature-Based Segmentation of Range Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Segmentation of range images as the search for geometric parametric models
International Journal of Computer Vision
Computing the differential characteristics of isointensity surface
Computer Vision and Image Understanding
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Direct construction of polynomial surfaces from dense range images through region growing
ACM Transactions on Graphics (TOG)
An Experimental Comparison of Range Image Segmentation Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Finding the parts of objects in range images
Computer Vision and Image Understanding
Ridges, crests and sub-parabolic lines of evolving surfaces
International Journal of Computer Vision
A buyer's guide to conic fitting
BMVC '95 Proceedings of the 6th British conference on Machine vision (Vol. 2)
A comparison of local surface geometry estimation methods
Machine Vision and Applications
From volume medical images to quadratic surface patches
Computer Vision and Image Understanding
Surface recovery from range images using curvature and motion consistency
Computer Vision and Image Understanding
Analysing error of fit functions for ellipses
Pattern Recognition Letters
Robust Adaptive Segmentation of Range Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
A geometric concept of reverse engineering of shape: approximation and feature lines
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Computing natural division lines on free-form surfaces based on measured data
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Simultaneous registration of multiple range views for use in reverse engineering of CAD models
Computer Vision and Image Understanding - Special issue on CAD-based computer vision
Sign of Gaussian Curvature From Curve Orientation in Photometric Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
Inference of Integrated Surface, Curve, and Junction Descriptions From Sparse 3D Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Evaluation of Methods for Ridge and Valley Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Direct Least Square Fitting of Ellipses
IEEE Transactions on Pattern Analysis and Machine Intelligence
Edge detection in range images based on scan line approximation
Computer Vision and Image Understanding
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Computing vertex normals from polygonal facets
Journal of Graphics Tools
Weights for computing vertex normals from facet normals
Journal of Graphics Tools
Smooth surface reconstruction via natural neighbour interpolation of distance functions
Proceedings of the sixteenth annual symposium on Computational geometry
Optimal triangulation and quadric-based surface simplification
Computational Geometry: Theory and Applications - Special issue on multi-resolution modelling and 3D geometry compression
Methods to recover constant radius rolling ball blends in reverse engineering
Computer Aided Geometric Design
MIR: An Approach to Robust Clustering-Application to Range Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
On surface normal and Gaussian curvature approximations given data sampled from a smooth surface
Computer Aided Geometric Design
Landmark-based registration using features identified through differential geometry
Handbook of medical imaging
The virtual mesh: a geometric abstraction for efficiently computing radiosity
ACM Transactions on Graphics (TOG)
Partitioning 3D Surface Meshes Using Watershed Segmentation
IEEE Transactions on Visualization and Computer Graphics
3-Draw: A Tool for Designing 3D Shapes
IEEE Computer Graphics and Applications
Darboux Frames, Snakes, and Super-Quadrics: Geometry from the Bottom Up
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computation of Surface Geometry and Segmentation Using Covariance Techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
Intrinsic Surface Properties from Surface Triangulation
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Faithful Least-Squares Fitting of Spheres, Cylinders, Cones and Tori for Reliable Segmentation
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Modelling Objects having Quadric Surfaces Incorporating Geometric cCnstraints
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Polyhedral Metrics in Surface Reconstruction
Proceedings of the 6th IMA Conference on the Mathematics of Surfaces
Recognition of Simple Curved Surfaces from 3D Surface Data
ACCV '98 Proceedings of the Third Asian Conference on Computer Vision-Volume I - Volume I
Interpolation and Approximation of Surfaces from Three-dimensional Scattered Data Points
Dagstuhl '97, Scientific Visualization
Edge Localization in Surface Reconstruction Using Optimal Estimation Theory
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
MUSE: Robust Surface Fitting using Unbiased Scale Estimates
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Polyhedral Surface Smoothing with Simultaneous Mesh Regularization
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
Extracting surface patches from complete range descriptions
NRC '97 Proceedings of the International Conference on Recent Advances in 3-D Digital Imaging and Modeling
Fast algorithms for ridge detection
SMA '97 Proceedings of the 1997 International Conference on Shape Modeling and Applications (SMA '97)
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Curve and surface smoothing without shrinkage
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Using Crest Lines to Guide Surface Reconstruction from Stereo
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Shape recovery of volume data with deformable b-spline models
Shape recovery of volume data with deformable b-spline models
Comparing Curved-Surface Range Image Segmenters
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Fast and robust registration of 3D surfaces using low curvature patches
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
A geometric approach to the segmentation of range images
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
Domain decomposition for multiresolution analysis
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Estimating differential quantities using polynomial fitting of osculating jets
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Robust Estimation of Adaptive Tensors of Curvature by Tensor Voting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimating differential quantities using polynomial fitting of osculating jets
Computer Aided Geometric Design
A Sampling Framework for Accurate Curvature Estimation in Discrete Surfaces
IEEE Transactions on Visualization and Computer Graphics
Computing in Science and Engineering
Salient geometric features for partial shape matching and similarity
ACM Transactions on Graphics (TOG)
Surface mesh segmentation and smooth surface extraction through region growing
Computer Aided Geometric Design
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
Least-squares-based fitting of paraboloids
Pattern Recognition
Lines of curvature and umbilical points for implicit surfaces
Computer Aided Geometric Design
Consistent computation of first- and second-order differential quantities for surface meshes
Proceedings of the 2008 ACM symposium on Solid and physical modeling
ACM Transactions on Mathematical Software (TOMS)
Visualization of Industrial Structures with Implicit GPU Primitives
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
3D Model Segmentation and Representation with Implicit Polynomials
IEICE - Transactions on Information and Systems
Computer Aided Geometric Design
Geometric Mesh Denoising via Multivariate Kernel Diffusion
MIRAGE '09 Proceedings of the 4th International Conference on Computer Vision/Computer Graphics CollaborationTechniques
A Bag of Words Approach for 3D Object Categorization
MIRAGE '09 Proceedings of the 4th International Conference on Computer Vision/Computer Graphics CollaborationTechniques
Setback Vertex Blends in Digital Shape Reconstruction
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Robust mesh reconstruction from unoriented noisy points
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Estimating differential quantities using polynomial fitting of osculating jets
Computer Aided Geometric Design
Surface mesh segmentation and smooth surface extraction through region growing
Computer Aided Geometric Design
Illustrative visualization: interrogating triangulated surfaces
Computing - Geometric Modelling, Dagstuhl 2008
Fast mesh segmentation by approximated spherical patches
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
New computation of normal vector and curvature
WSEAS Transactions on Computers
Stability of curvature measures
SGP '09 Proceedings of the Symposium on Geometry Processing
Feature-preserving kernel diffusion for surface denoising
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
International Journal of Computer Vision
PCM'10 Proceedings of the Advances in multimedia information processing, and 11th Pacific Rim conference on Multimedia: Part II
GPU curvature estimation on deformable meshes
I3D '11 Symposium on Interactive 3D Graphics and Games
SSIP '09/MIV'09 Proceedings of the 9th WSEAS international conference on signal, speech and image processing, and 9th WSEAS international conference on Multimedia, internet & video technologies
Sampled medial loci for 3D shape representation
Computer Vision and Image Understanding
Laser scanner technology for complex surveying structures
WSEAS Transactions on Signal Processing
Direct solutions for computing cylinders from minimal sets of 3d points
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Bézier surfaces of minimal internal energy
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
New trends in digital shape reconstruction
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Parallel feature-preserving mesh smoothing
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV
Towards locally and globally shape-aware reverse 3D modeling
Computer-Aided Design
Mesh segmentation and model extraction
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Couple points --- a local approach to global surface analysis
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Variational mesh segmentation via quadric surface fitting
Computer-Aided Design
Visual vocabulary signature for 3D object retrieval and partial matching
EG 3DOR'09 Proceedings of the 2nd Eurographics conference on 3D Object Retrieval
Heat diffusion approach for feature-based body scans analysis
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
A geometrical approach for evaluating left ventricular remodeling in myocardial infarct patients
Computer Methods and Programs in Biomedicine
Accurate and efficient rendering of detail using directional distance maps
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
Curvature tensor computation by piecewise surface interpolation
Computer-Aided Design
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In a variety of practical situations such as reverse engineering of boundary representation from depth maps of scanned objects, range data analysis, model-based recognition and algebraic surface design, there is a need to recover the shape of visible surfaces of a dense 3D point set. In particular, it is desirable to identify and fit simple surfaces of known type wherever these are in reasonable agreement with the data. We are interested in the class of quadric surfaces, that is, algebraic surfaces of degree 2, instances of which are the sphere, the cylinder and the cone. A comprehensive survey of the recent work in each subtask pertaining to the extraction of quadric surfaces from triangulations is presented.