Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Deformations of surfaces with the same intrinsic shape can often be described accurately by a conformal model. A major focus of computational conformal geometry is the estimation of the conformal mapping that aligns a given pair of object surfaces. The uniformization theorem enables this task to be acccomplished in a canonical 2D domain, wherein the surfaces can be aligned using a Mobius transformation. Current algorithms for estimating Mobius transformations, hover, often cannot provide satisfactory alignment or are computationally too costly.  introduces a novel globally optimal algorithm for estimating Mobius transformations to align surfaces that are topological discs. Unlike previous methods, the proposed algorithm deterministically calculates the best transformation, without requiring good initializations. Further, our algorithm is also much faster than previous techniques in practice.  demonstrate the efficacy of our algorithm on data commonly used in computational conformal geometry.
['Huu Le', 'Tat-Jun Chin', 'David Suter']
I am writing a research paper on a idea Conformal Surface Alignment with Optimal Möbius Search
[{"from": "human", "value": "I am writing a research paper on a idea Conformal Surface Alignment with Optimal M\u00f6bius Search"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Deformations of surfaces with the same intrinsic shape can often be described accurately by a conformal model. A major focus of computational conformal geometry is the estimation of the conformal mapping that aligns a given pair of object surfaces. The uniformization theorem enables this task to be acccomplished in a canonical 2D domain, wherein the surfaces can be aligned using a Mobius transformation. Current algorithms for estimating Mobius transformations, hover, often cannot provide satisfactory alignment or are computationally too costly.  introduces a novel globally optimal algorithm for estimating Mobius transformations to align surfaces that are topological discs. Unlike previous methods, the proposed algorithm deterministically calculates the best transformation, without requiring good initializations. Further, our algorithm is also much faster than previous techniques in practice.  demonstrate the efficacy of our algorithm on data commonly used in computational conformal geometry."}]