Images as Embedded Maps and Minimal Surfaces: Movies, Color, Texture, and Volumetric Medical Images
International Journal of Computer Vision - Special issue on computer vision research at the Technion
Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Computing the Diameter of a Point Set
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Retrieval of trademark images by means of size functions
Graphical Models - Special issue on the vision, video and graphics conference 2005
Efficient Computation of Isometry-Invariant Distances Between Surfaces
SIAM Journal on Scientific Computing
Discrete laplace operator on meshed surfaces
Proceedings of the twenty-fourth annual symposium on Computational geometry
A survey of content based 3D shape retrieval methods
Multimedia Tools and Applications
Multidimensional Size Functions for Shape Comparison
Journal of Mathematical Imaging and Vision
The Theory of Multidimensional Persistence
Discrete & Computational Geometry - 23rd Annual Symposium on Computational Geometry
A Critical Assessment of 2D and 3D Face Recognition Algorithms
AVSS '09 Proceedings of the 2009 Sixth IEEE International Conference on Advanced Video and Signal Based Surveillance
A concise and provably informative multi-scale signature based on heat diffusion
SGP '09 Proceedings of the Symposium on Geometry Processing
Gromov-Hausdorff stable signatures for shapes using persistence
SGP '09 Proceedings of the Symposium on Geometry Processing
The Visual Computer: International Journal of Computer Graphics - Special Issue on 3D Object Retrieval 2009
Shape comparison through mutual distances of real functions
Proceedings of the ACM workshop on 3D object retrieval
Unsupervised co-segmentation of a set of shapes via descriptor-space spectral clustering
Proceedings of the 2011 SIGGRAPH Asia Conference
3D model retrieval based on color + geometry signatures
The Visual Computer: International Journal of Computer Graphics
Non-rigid shape matching using geometry and photometry
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part III
Keypoints and Local Descriptors of Scalar Functions on 2D Manifolds
International Journal of Computer Vision
Schrödinger diffusion for shape analysis with texture
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part I
The persistence space in multidimensional persistent homology
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
SMI 2013: Grouping real functions defined on 3D surfaces
Computers and Graphics
SHREC'13 track: retrieval on textured 3D models
3DOR '13 Proceedings of the Sixth Eurographics Workshop on 3D Object Retrieval
Towards topological analysis of high-dimensional feature spaces
Computer Vision and Image Understanding
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In this paper we target the problem of textured 3D object retrieval. As a first contribution, we show how to include photometric information in the persistence homology setting, also proposing a novel theoretical result about multidimensional persistence spaces. As a second contribution, we introduce a generalization of the integral geodesic distance which fuses shape and color properties. Finally, we adopt a purely geometric description based on the selection of geometric functions that are mutually independent. The photometric, hybrid and geometric descriptions are combined into a signature, whose performance is tested on a benchmark dataset.