Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Although considerable attention in recent years has been given to the problem of symmetry detection in general shapes, few methods have been developed that aim to detect and quantify the intrinsic symmetry of a shape rather than its extrinsic, or pose-dependent symmetry. ,  present a novel approach for efficiently computing symmetries of a shape which are invariant up to isometry preserving transformations.  show that the intrinsic symmetries of a shape are transformed into the Euclidean symmetries in the signature space defined by the eigen-functions of the Laplace-Beltrami operator. Based on this observation,  devise an algorithm which detects and computes the isometric mappings from the shape onto itself.  show that our approach is both computationally efficient and robust with respect to small non-isometric deformations, even if they include topological changes.
['Maks Ovsjanikov', 'Jian Sun', 'Leonidas J. Guibas']
I am writing a research paper on a idea Global intrinsic symmetries of shapes
[{"from": "human", "value": "I am writing a research paper on a idea Global intrinsic symmetries of shapes"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Although considerable attention in recent years has been given to the problem of symmetry detection in general shapes, few methods have been developed that aim to detect and quantify the intrinsic symmetry of a shape rather than its extrinsic, or pose-dependent symmetry. ,  present a novel approach for efficiently computing symmetries of a shape which are invariant up to isometry preserving transformations.  show that the intrinsic symmetries of a shape are transformed into the Euclidean symmetries in the signature space defined by the eigen-functions of the Laplace-Beltrami operator. Based on this observation,  devise an algorithm which detects and computes the isometric mappings from the shape onto itself.  show that our approach is both computationally efficient and robust with respect to small non-isometric deformations, even if they include topological changes."}]