First Sentence:
Due to their flexibility and efficiency, triangle meshes have been widely used in the entertainment industry to represent arbitrary surfaces for 3D games and movies during the last few years.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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transition weight matrix, transfinite blending, watermarked meshes, convex triangulation, vertex series, cubic ruled surfaces, geometric flip, transported surface normals, carving algorithm, generalized stereographic projection, vertex chart, extremal vertices, convex data, mixed vertex, mixed vertices, affine arithmetic, curvature consistency constraints, phantom vertices, inner control points, pde surfaces, image irradiance equation, offset approximation, uniform random noises, displacement sampling, line congruences
Key Phrases - Capitalized Phrases (CAPs):
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Springer-Verlag Berlin Heidelberg, New York, Morgan Kaufmann, University of Leeds, Annual Conference Series, Displaced Butterfly Subdivision Surfaces, Partial Differential Equations, International Conference, Modified Butterfly, Parametrics Group, Xu-Ping Zhu, Cambridge University Press, Conference Proceedings, Department of Applied Mathematics, Springer Verlag, University of Utah, Case Study, Draft International Standard, Implementation Issues
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