Topology Robust Intrinsic Symmetries of Non-rigid Shapes Based on Diffusion Distances
نویسندگان
چکیده
Detection and modeling of self-similarity and symmetry is important in shape recognition, matching, synthesis, and reconstruction. While the detection of rigid shape symmetries is well established, the study of symmetries in non-rigid shapes is a much less researched problem. A particularly challenging setting is the detection of symmetries in non-rigid shapes affected by topological noise and asymmetric connectivity. In this paper, we treat 1 Te ch ni on Co m pu te r S ci en ce D ep ar tm en t T ec hn ic al R ep or t CI S20 09 -2 0 2 00 9
منابع مشابه
Topology Robust Intrinsic Symmetries of non-rigid shapes based on Diffusion Distances Technical Report
Detection and modeling of self-similarity and symmetry is important in shape recognition, matching, synthesis, and reconstruction. While the detection of rigid shape symmetries is well established, the study of symmetries in non-rigid shapes is a much less researched problem. A particularly challenging setting is the detection of symmetries in non-rigid shapes affected by topological noise and ...
متن کاملDiffusion symmetries of non-rigid shapes
Detection and modeling of self-similarity and symmetry is important in shape recognition, matching, synthesis, and reconstruction. While the detection of rigid shape symmetries is well-established, the study of symmetries in nonrigid shapes is a much less researched problem. A particularly challenging setting is the detection of symmetries in non-rigid shapes affected by topological noise and a...
متن کاملA GROMOV-HAUSDORFF FRAMEWORK WITH DIFFUSION GEOMETRY FOR TOPOLOGICALLY-ROBUST NON-RIGID SHAPE MATCHING By
In this paper, the problem of non-rigid shape recognition is viewed from the perspective of metric geometry, and the applicability of diffusion distances within the Gromov-Hausdorff framework is explored. While the commonly used geodesic distance exploits the shortest path between points on the surface, the diffusion distance averages all paths connecting between the points. The diffusion dista...
متن کاملShape Palindromes: Analysis of Intrinsic Symmetries in 2D Articulated Shapes
Analysis of intrinsic symmetries of non-rigid and articulated shapes is an important problem in pattern recognition with numerous applications ranging from medicine to computational aesthetics. Considering articulated planar shapes as closed curves, we show how to represent their extrinsic and intrinsic symmetries as self-similarities of local descriptor sequences, which in turn have simple int...
متن کاملPartial 3D Shape Retrieval by Reeb Pattern Unfolding
This paper presents a novel approach for fast and efficient partial shape retrieval on a collection of 3D shapes. Each shape is represented by a Reeb graph associated with geometrical signatures. Partial similarity between two shapes is evaluated by computing a variant of their maximum common sub-graph. By investigating Reeb graph theory, we take advantage of its intrinsic properties at two lev...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009