Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a combinatorial solution for the problem of non-rigidly matching a 3D shape to 3D image data. To this end,  model the shape as a triangular mesh and allow each triangle of this mesh to be rigidly transformed to achieve a suitable matching to the image. By penalising the distance and the relative rotation beten neighbouring triangles our matching compromises beten the image and the shape information. ,  resolve two major challenges: Firstly,  address the resulting large and NP-hard combinatorial problem with a suitable graph-theoretic approach. Secondly,  propose an efficient discretisation of the unbounded 6-dimensional Lie group SE(3). To our knowledge this is the first combinatorial formulation for non-rigid 3D shape-to-image matching. In contrast to existing local (gradient descent) optimisation methods,  obtain solutions that do not require a good initialisation and that are within a bound of the optimal solution.  evaluate the proposed combinatorial method on the two problems of non-rigid 3D shape-to-shape and non-rigid 3D shape-to-image registration and demonstrate that it provides promising results.
['Florian Bernard', 'Frank R. Schmidt', 'Johan Thunberg', 'Daniel Cremers']
I am writing a research paper on a idea A Combinatorial Solution to Non-Rigid 3D Shape-to-Image Matching
[{"from": "human", "value": "I am writing a research paper on a idea A Combinatorial Solution to Non-Rigid 3D Shape-to-Image Matching"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  propose a combinatorial solution for the problem of non-rigidly matching a 3D shape to 3D image data. To this end,  model the shape as a triangular mesh and allow each triangle of this mesh to be rigidly transformed to achieve a suitable matching to the image. By penalising the distance and the relative rotation beten neighbouring triangles our matching compromises beten the image and the shape information. ,  resolve two major challenges: Firstly,  address the resulting large and NP-hard combinatorial problem with a suitable graph-theoretic approach. Secondly,  propose an efficient discretisation of the unbounded 6-dimensional Lie group SE(3). To our knowledge this is the first combinatorial formulation for non-rigid 3D shape-to-image matching. In contrast to existing local (gradient descent) optimisation methods,  obtain solutions that do not require a good initialisation and that are within a bound of the optimal solution.  evaluate the proposed combinatorial method on the two problems of non-rigid 3D shape-to-shape and non-rigid 3D shape-to-image registration and demonstrate that it provides promising results."}]