Titlebook: Subdivision Surfaces; Jörg Peters,Ulrich Reif Textbook 2008 Springer-Verlag Berlin Heidelberg 2008 Graph.Sim.algorithms.computer graphics.

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Subdivision Surfaces,nd an L-shaped .. Repeating the refinement for the new extraordinary patch yields another patch and another segment of even smaller size. If this process is iterated ad infinitum, the initial patch is eventually replaced by a sequence of smaller and smaller segments, and the extraordinary point itse

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-Subdivision Algorithms,is characterized by a double positive subdominant eigenvalue. Here, the characteristic ring, which is a planar ring built from the subdominant eigenfunctions, plays a key role in the analysis. With a careful generalization of terms, Sect. 5.3/89 yields a complete classification of all .-subdivision

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Shape Analysis and ,-Algorithms,ces and derive asymptotic expansions for the fundamental forms, the embedded Weingarten map, and the principal curvatures. In particular, we determine limit exponents for .-integrability of principal curvatures in terms of the leading eigenvalues of the subdivision matrix. The . will play a key role

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Approximation and Linear Independence,convergence of the geometric distance, which is crucial for applications in Computer Graphics, depends on the subsubdominant eigenvalue μ..In Sect. 8.2/169, we consider the question of local and global linear independence of the generating splines . = [.,…, .]. This topic is closely related to the e

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Conclusion, of Warren and Weimer [WW02]..Necessarily, the material presented here is a compromise between generality and specificity. Therefore, to conclude, we want to review the basic assumptions of our analysis framework, check applicability to the rich ‘zoo’ of subdivision algorithms in current use, and di

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ow. These submissions provide a snapshot of how NASA appeared to me and many other outside observers at the turn of the twenty-first century, and what was needed for rebuilding and focusing that storied agency. NASA’s newest Administrator, Dr Michael Griffin, has begun to address these concerns.

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