Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Parameterization of a 3D triangular mesh is a fundamental problem in various applications of meshes. The convex combination approach is widely used for parameterization because of its good properties, such as fast computation and one-to-one embedding. Hover, the approach has a drawback: most boundary triangles have high distortion in the embedding compared with interior ones. ,  present an extension of the convex combination approach that resolves the drawback by using a virtual boundary. Since the virtual boundary is fixed onto a given convex polygon instead of the real boundary, the real boundary triangles can better reflect the shape of the corresponding 3D triangles. The proposedapproach obtains a parameterization of a 3D mesh with less d istortion than with the original convex combination approach. r 2002 Elsevier Science Ltd. All rights reserved.
['Yunjin Lee', 'Hyoung Seok Kim', 'Seungyong Lee']
I am writing a research paper on a idea Mesh parameterization with a virtual boundary
[{"from": "human", "value": "I am writing a research paper on a idea Mesh parameterization with a virtual boundary"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Parameterization of a 3D triangular mesh is a fundamental problem in various applications of meshes. The convex combination approach is widely used for parameterization because of its good properties, such as fast computation and one-to-one embedding. Hover, the approach has a drawback: most boundary triangles have high distortion in the embedding compared with interior ones. ,  present an extension of the convex combination approach that resolves the drawback by using a virtual boundary. Since the virtual boundary is fixed onto a given convex polygon instead of the real boundary, the real boundary triangles can better reflect the shape of the corresponding 3D triangles. The proposedapproach obtains a parameterization of a 3D mesh with less d istortion than with the original convex combination approach. r 2002 Elsevier Science Ltd. All rights reserved."}]