Object recognition by computer: the role of geometric constraints
Object recognition by computer: the role of geometric constraints
Least-Squares Estimation of Transformation Parameters Between Two Point Patterns
IEEE Transactions on Pattern Analysis and Machine Intelligence
BONSAI: 3D Object Recognition Using Constrained Search
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part I
Structural Indexing: Efficient 3-D Object Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Point Signatures: A New Representation for 3D Object Recognition
International Journal of Computer Vision
Using Spin Images for Efficient Object Recognition in Cluttered 3D Scenes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature Detection with Automatic Scale Selection
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
Scale-Space Theory in Computer Vision
Scale-Space Theory in Computer Vision
Curvature computation on free-form 3-D meshes at multiple scales
Computer Vision and Image Understanding
Linear Scale-Space has First been Proposed in Japan
Journal of Mathematical Imaging and Vision
Hierarchical Shape Recognition Based on 3-D Multiresolution Analysis
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Intrinsic Scale Space for Images on Surfaces: The Geodesic Curvature Flow
SCALE-SPACE '97 Proceedings of the First International Conference on Scale-Space Theory in Computer Vision
From Unordered Range Images to 3D Models: A Fully Automatic Multiview Correspondence Algorithm
TPCG '04 Proceedings of the Theory and Practice of Computer Graphics 2004 (TPCG'04)
Scale Selection for Classification of Point-Sampled 3-D Surfaces
3DIM '05 Proceedings of the Fifth International Conference on 3-D Digital Imaging and Modeling
Point-based multiscale surface representation
ACM Transactions on Graphics (TOG)
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Fully Automatic Registration of 3D Point Clouds
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Three-Dimensional Model-Based Object Recognition and Segmentation in Cluttered Scenes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Automatic multiview quadruple alignment of unordered range scans
SMI '07 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2007
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Multi-scale features for approximate alignment of point-based surfaces
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part III
Intrinsic Geometric Scale Space by Shape Diffusion
IEEE Transactions on Visualization and Computer Graphics
The scale of geometric texture
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part I
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Despite their ubiquitous presence, little has been investigated about the scale variability--the relative variations in the spatial extents of local structures--of 3D geometric data. In this paper we present a comprehensive framework for exploiting this 3D geometric scale variability in range images that provides rich information for characterizing the overall geometry. We derive a sound scale-space representation, which we refer to as the geometric scale-space, that faithfully encodes the scale variability of the surface geometry, and derive novel detectors to extract prominent features and identify their natural scales. The result is a hierarchical set of features of different scales which we refer to as scale-dependent geometric features. We then derive novel local shape descriptors that represent the surface structures that give rise to those features by carving out and encoding the local surface that fall within the support regions of the features. This leads to scale-dependent or scale-invariant local shape descriptors that convey significant discriminative information of the object geometry. We demonstrate the effectiveness of geometric scale analysis on range images, and show that it enables novel applications, in particular, fully automatic registration of multiple objects from a mixed set of range images and 3D object recognition in highly cluttered range image scenes.