Matrix analysis
3DPO: A three-dimensional part orientation system
International Journal of Robotics Research
Using Spin Images for Efficient Object Recognition in Cluttered 3D Scenes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image matching with scale adjustment
Computer Vision and Image Understanding
Convergent Discrete Laplace-Beltrami Operators over Triangular Surfaces
GMP '04 Proceedings of the Geometric Modeling and Processing 2004
Scale & Affine Invariant Interest Point Detectors
International Journal of Computer Vision
Distinctive Image Features from Scale-Invariant Keypoints
International Journal of Computer Vision
A Survey of Content Based 3D Shape Retrieval Methods
SMI '04 Proceedings of the Shape Modeling International 2004
Histograms of Oriented Gradients for Human Detection
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
Fast exact and approximate geodesics on meshes
ACM SIGGRAPH 2005 Papers
ACM SIGGRAPH 2005 Papers
A Performance Evaluation of Local Descriptors
IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
International Journal of Computer Vision
Feature-based similarity search in 3D object databases
ACM Computing Surveys (CSUR)
A Comparison and Evaluation of Multi-View Stereo Reconstruction Algorithms
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Speeded-Up Robust Features (SURF)
Computer Vision and Image Understanding
Geodesic Distance-weighted Shape Vector Image Diffusion
IEEE Transactions on Visualization and Computer Graphics
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part III
Temporal Surface Tracking Using Mesh Evolution
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part II
A concise and provably informative multi-scale signature based on heat diffusion
SGP '09 Proceedings of the Symposium on Geometry Processing
Approximating gradients for meshes and point clouds via diffusion metric
SGP '09 Proceedings of the Symposium on Geometry Processing
Marker-less 3D feature tracking for mesh-based human motion capture
Proceedings of the 2nd conference on Human motion: understanding, modeling, capture and animation
Spectral-Driven Isometry-Invariant Matching of 3D Shapes
International Journal of Computer Vision
International Journal of Computer Vision
Probabilistic deformable surface tracking from multiple videos
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
Shape google: Geometric words and expressions for invariant shape retrieval
ACM Transactions on Graphics (TOG)
Efficient computation of scale-space features for deformable shape correspondences
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Topology-Adaptive Mesh Deformation for Surface Evolution, Morphing, and Multiview Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Physical Scale Keypoints: Matching and Registration for Combined Intensity/Range Images
International Journal of Computer Vision
Photometric heat kernel signatures
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
A robust 3D interest points detector based on Harris operator
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
SHREC'10 track: feature detection and description
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
PHOG: photometric and geometric functions for textured shape retrieval
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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This paper addresses the problem of describing surfaces using local features and descriptors. While methods for the detection of interest points in images and their description based on local image features are very well understood, their extension to discrete manifolds has not been well investigated. We provide a methodological framework for analyzing real-valued functions defined over a 2D manifold, embedded in the 3D Euclidean space, e.g., photometric information, local curvature, etc. Our work is motivated by recent advancements in multiple-camera reconstruction and image-based rendering of 3D objects: there is a growing need for describing object surfaces, matching two surfaces, or tracking them over time. Considering polygonal meshes, we propose a new methodological framework for the scale-space representations of scalar functions defined over such meshes. We propose a local feature detector (MeshDOG) and region descriptor (MeshHOG). Unlike the standard image features, the proposed surface features capture both the local geometry of the underlying manifold and the scale-space differential properties of the real-valued function itself. We provide a thorough experimental evaluation. The repeatability of the feature detector and the robustness of feature descriptor are tested, by applying a large number of deformations to the manifold or to the scalar function.