Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  presents a new approach for the quadrangulation of triangular surfaces. While previous work focused on fully automatic computations or explicitly involved user control for the integration of subjective decisions,  introduce a new example-based quad-meshing paradigm, in order to easily reproduce the subjective decisions made in the design of reference examples found in a corpus. The algorithm enables to reproduce the subjective aspects of the example (extraordinary vertex layout) while minimizing the induced distortion; allowing users to leverage reference meshes considered of quality for fast prototyping. At the core of our technique,  provide the analytic gradient of as-rigid-as-possible 2D transformations. This expression is implemented in a fast solver to automatically register planar unfoldings of the geometries, yielding low-distortion cross maps of the examples onto the input in 3D. In addition, our technique provides interactive feedback for user modifications of the cross maps computed automatically. Our technique supports localized mesh composition and enables to reproduce meshing styles despite intrinsic reflective symmetry, large variation from isometry or even topological variation. Experiments demonstrate the accuracy of the mimicking process as ll as its time efficiency. Highlights? Data driven surface quadrangulation. ? Multi-resolution as-isometric-as-possible cross map solver. ? Interactive editing of the automatic cross map. ? Multi-mesh composition possibilities. ? Our approach enables to mimic the meshing style found in a corpus of examples.
['Julien Tierny', 'Joel Daniels', 'Luis Gustavo Nonato', 'Valerio Pascucci', 'Cláudio T. Silva']
I am writing a research paper on a idea Inspired quadrangulation
[{"from": "human", "value": "I am writing a research paper on a idea Inspired quadrangulation"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  presents a new approach for the quadrangulation of triangular surfaces. While previous work focused on fully automatic computations or explicitly involved user control for the integration of subjective decisions,  introduce a new example-based quad-meshing paradigm, in order to easily reproduce the subjective decisions made in the design of reference examples found in a corpus. The algorithm enables to reproduce the subjective aspects of the example (extraordinary vertex layout) while minimizing the induced distortion; allowing users to leverage reference meshes considered of quality for fast prototyping. At the core of our technique,  provide the analytic gradient of as-rigid-as-possible 2D transformations. This expression is implemented in a fast solver to automatically register planar unfoldings of the geometries, yielding low-distortion cross maps of the examples onto the input in 3D. In addition, our technique provides interactive feedback for user modifications of the cross maps computed automatically. Our technique supports localized mesh composition and enables to reproduce meshing styles despite intrinsic reflective symmetry, large variation from isometry or even topological variation. Experiments demonstrate the accuracy of the mimicking process as ll as its time efficiency. Highlights? Data driven surface quadrangulation. ? Multi-resolution as-isometric-as-possible cross map solver. ? Interactive editing of the automatic cross map. ? Multi-mesh composition possibilities. ? Our approach enables to mimic the meshing style found in a corpus of examples."}]