The representation, recognition, and locating of 3-d objects
International Journal of Robotics Research
Mathematical statistics (4th ed.)
Mathematical statistics (4th ed.)
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Trace Inference, Curvature Consistency, and Curve Detection
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
Geometric structures for three-dimensional shape representation
ACM Transactions on Graphics (TOG)
Optimal surface reconstruction from planar contours
Communications of the ACM
Optimization by Vector Space Methods
Optimization by Vector Space Methods
Digital Picture Processing
Computer Vision
Three dimensional computer graphics for craniofacial surgical planning and evaluation
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
Singularities of Principal Direction Fields from 3-D Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Viewpoint Invariant Recovery of Visual Surfaces from Sparse Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
From Multiple Stereo Views to Multiple 3-D Surfaces
International Journal of Computer Vision
Density propagation for surface tracking
Pattern Recognition Letters
Fast, Accurate and Consistent Modeling of Drainage andSurrounding Terrain
International Journal of Computer Vision
A survey of methods for recovering quadrics in triangle meshes
ACM Computing Surveys (CSUR)
Constructing Intrinsic Parameters with Active Models for Invariant Surface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Darboux Frames, Snakes, and Super-Quadrics: Geometry from the Bottom Up
IEEE Transactions on Pattern Analysis and Machine Intelligence
Saliency sequential surface organization for free-form object recognition
Computer Vision and Image Understanding
Normal vector voting: crease detection and curvature estimation on large, noisy meshes
Graphical Models - Special issue: Processing on large polygonal meshes
Darboux smoothing for shape-from-shading
Pattern Recognition Letters
Curvature Weighted Evidence Combination for Shape-from-Shading
Proceedings of the Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition
Topographic Surface Structure from 2D Images Using Shape-from-Shading
EMMCVPR '99 Proceedings of the Second International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Shape-from-Shading Using Darboux Smoothing
CAIP '01 Proceedings of the 9th International Conference on Computer Analysis of Images and Patterns
Highlight Removal Using Shape-from-Shading
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
From Parametric Warping to the Cooperation of Local Features and Global Models
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
An approach for detecting blood vessel diseases from cone-beam CT image
ICIP '95 Proceedings of the 1995 International Conference on Image Processing (Vol.2)-Volume 2 - Volume 2
Estimating differential quantities using polynomial fitting of osculating jets
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
First Order Augmentation to Tensor Voting for Boundary Inference and Multiscale Analysis in 3D
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Computer Vision and Image Understanding
Estimating differential quantities using polynomial fitting of osculating jets
Computer Aided Geometric Design
Vector transport for shape-from-shading
Pattern Recognition
Curvature consistency for shape-from-shading
SCIA'03 Proceedings of the 13th Scandinavian conference on Image analysis
CIARP'05 Proceedings of the 10th Iberoamerican Congress conference on Progress in Pattern Recognition, Image Analysis and Applications
Differential geometric consistency extends stereo to curved surfaces
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Stereo for slanted surfaces: first order disparities and normal consistency
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
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Early image understanding seeks to derive analytic representations from image intensities. The authors present steps towards this goal by considering the inference of surfaces from three-dimensional images. Only smooth surfaces are considered and the focus is on the coupled problems of inferring the trace points (the points through which the surface passes) and estimating the associated differential structure given by the principal curvature and direction fields over the estimated smooth surfaces. Computation of these fields is based on determining an atlas of local charts or parameterizations at estimated surface points. Algorithm robustness and the stability of results are essential for analyzing real images; to this end, the authors present a functional minimization algorithm utilizing overlapping local charts to refine surface points and curvature estimates, and develop an implementation as an iterative constraint satisfaction procedure based on local surface smoothness properties. Examples of the recovery of local structure are presented for synthetic images degraded by noise and for clinical magnetic resonance images.