Watersheds in Digital Spaces: An Efficient Algorithm Based on Immersion Simulations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Using Spin Images for Efficient Object Recognition in Cluttered 3D Scenes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Distinctive Image Features from Scale-Invariant Keypoints
International Journal of Computer Vision
Deformation transfer for triangle meshes
ACM SIGGRAPH 2004 Papers
Laplace-spectra as fingerprints for shape matching
Proceedings of the 2005 ACM symposium on Solid and physical modeling
SCAPE: shape completion and animation of people
ACM SIGGRAPH 2005 Papers
A Comparison of Affine Region Detectors
International Journal of Computer Vision
Laplace-Beltrami Eigenfunctions Towards an Algorithm That "Understands" Geometry
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Reassembling fractured objects by geometric matching
ACM SIGGRAPH 2006 Papers
3D Segmentation by Maximally Stable Volumes (MSVs)
ICPR '06 Proceedings of the 18th International Conference on Pattern Recognition - Volume 01
Pose-Oblivious Shape Signature
IEEE Transactions on Visualization and Computer Graphics
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Probabilistic fingerprints for shapes
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Discrete laplace operators: no free lunch
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Laplace-Beltrami eigenfunctions for deformation invariant shape representation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Global intrinsic symmetries of shapes
SGP '08 Proceedings of the Symposium on Geometry Processing
A concise and provably informative multi-scale signature based on heat diffusion
SGP '09 Proceedings of the Symposium on Geometry Processing
Shape analysis using the auto diffusion function
SGP '09 Proceedings of the Symposium on Geometry Processing
Volumetric heat kernel signatures
Proceedings of the ACM workshop on 3D object retrieval
Non-rigid shape matching using geometry and photometry
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part III
Building the Component Tree in Quasi-Linear Time
IEEE Transactions on Image Processing
Visual vocabulary signature for 3D object retrieval and partial matching
EG 3DOR'09 Proceedings of the 2nd Eurographics conference on 3D Object Retrieval
A robust 3D interest points detector based on Harris operator
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
SHREC 2011: robust feature detection and description benchmark
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Consistent volumetric discretizations inside self-intersecting surfaces
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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Region feature detectors and descriptors have become a successful and popular alternative to point descriptors in image analysis due to their high robustness and repeatability, leading to a significant interest in the shape analysis community in finding analogous approaches in the 3D world. Recent works have successfully extended the maximally stable extremal region (MSER) detection algorithm to surfaces. In many applications, however, a volumetric shape model is more appropriate, and modeling shape deformations as approximate isometries of the volume of an object, rather than its boundary, better captures natural behavior of non-rigid deformations. In this paper, we formulate a diffusion-geometric framework for volumetric stable component detection and description in deformable shapes. An evaluation of our method on the SHREC'11 feature detection benchmark and SCAPE human body scans shows its potential as a source of high-quality features. Examples demonstrating the drawbacks of surface stable components and the advantage of their volumetric counterparts are also presented.