
This paper presents a new approach of Reeb graph extraction adapted to 3D dynamic triangular Meshes. Particularly, we propose a new continuous scalar function, used for Reeb graph construction. This function is based on the heat diffusion properties. The restriction of the heat kernel to temporal domain makes the scalar function intrinsic and stable against perturbations. Due to the presence of neighborhood information in the heat kernel associated to each vertex, the proposed Reeb Graph extraction can be extremely useful as local shape descriptor for non-rigid shape retrieval. Experiments show that the proposed structural analysis technique achieves high accuracy and stability under topology changes and various perturbations through time.
Kinematics, graph theory, 3D dynamic triangular meshes, Heating, Reeb graph, Accuracy, continuous scalar function, Shape, Reeb graph construction, neighborhood information, nonrigid shape retrieval, Kernel, [INFO.INFO-TI] Computer Science [cs]/Image Processing [eess.IV], Heat diffusion, computer graphics, Feature extraction, Three-dimensional displays, local shape descriptor, 3D dynamic meshes, temporal domain, kinematic Reeb graph extraction, structural analysis technique, heat kernel restriction, Heat kernel
Kinematics, graph theory, 3D dynamic triangular meshes, Heating, Reeb graph, Accuracy, continuous scalar function, Shape, Reeb graph construction, neighborhood information, nonrigid shape retrieval, Kernel, [INFO.INFO-TI] Computer Science [cs]/Image Processing [eess.IV], Heat diffusion, computer graphics, Feature extraction, Three-dimensional displays, local shape descriptor, 3D dynamic meshes, temporal domain, kinematic Reeb graph extraction, structural analysis technique, heat kernel restriction, Heat kernel
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 1 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
