Zobrazeno 1 - 10
of 196
pro vyhledávání: '"Finite subdivision rule"'
Publikováno v:
Conformal Geometry and Dynamics of the American Mathematical Society. 24:29-50
We prove that every sufficiently large iterate of a Thurston map which is not doubly covered by a torus endomorphism and which does not have a Levy cycle is isotopic to the subdivision map of a finite subdivision rule. We determine which Thurston map
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2cdda57629161f13f485c642b93e6b34
https://doi.org/10.1090/ecgd/347
https://doi.org/10.1090/ecgd/347
Autor:
Vaclav Skala
There are many space subdivision and space partitioning techniques used in many algorithms to speed up computations. They mostly rely on orthogonal space subdivision, resp. using hierarchical data structures, e.g. BSP trees, quadtrees, octrees, kd-tr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf77659ac98de12cb14cf75ce3c414cb
Autor:
Caroline Moosmüller
Publikováno v:
Advances in Computational Mathematics. 43:1059-1074
We propose a new adaption of linear Hermite subdivision schemes to the manifold setting. Our construction is intrinsic, as it is based solely on geodesics and on the parallel transport operator of the manifold. The resulting nonlinear Hermite subdivi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff4112d1f240a1b3c845da53a0cb3422
https://doi.org/10.1007/s10444-017-9516-1
https://doi.org/10.1007/s10444-017-9516-1
Publikováno v:
Numerical Algorithms. 77:361-379
In the theory of linear subdivision algorithms, it is well-known that the regularity of a linear subdivision scheme can be elevated by one order (say, from Ck to Ck+1) by composing it with an averaging step (equivalently, by multiplying to the subdiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::091349712a414630e500b162d61f30e6
https://doi.org/10.1007/s11075-017-0319-8
https://doi.org/10.1007/s11075-017-0319-8
Publikováno v:
Computer Aided Geometric Design. 51:4-29
It is possible to define multiresolution by reversing the process of subdivision. One approach to reverse a subdivision scheme appropriates pure numerical algebraic relations for subdivision using the interaction of diagrams (Bartels and Samavati, 20
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2cd49e67216cf0cec66f104bed29332
https://doi.org/10.1016/j.cagd.2017.02.002
https://doi.org/10.1016/j.cagd.2017.02.002
Publikováno v:
SIAM Journal on Applied Algebra and Geometry
We construct a $C^2$ multiscale approximation scheme for functions defined on the (Riemann) sphere. Based on a three-directional box-spline, a flexible $C^2$ scheme over a valence 3 extraordinary vertex can be constructed. Such a flexible $C^2$ subdi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f1434579c31f6598f6274633ba43937
https://doi.org/10.1137/16m1076794
https://doi.org/10.1137/16m1076794
Publikováno v:
Computers & Mathematics with Applications. 72:2041-2055
Subdivision Surface provides an efficient way to represent free-form surfaces with arbitrary topology. Loop subdivision is a subdivision scheme for triangular meshes, which is C2 continuous except at a finite number of extraordinary vertices with G1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::200a49641c29c727864f3938c08f38c4
https://doi.org/10.1016/j.camwa.2016.06.045
https://doi.org/10.1016/j.camwa.2016.06.045
Publikováno v:
Alexandria Engineering Journal, Vol 55, Iss 3, Pp 2855-2862 (2016)
In this paper two non-stationary forms of Chaikin’s perturbation subdivision scheme, mentioned in Dyn et al. (2004), have been proposed with tension parameter ω . Comparison among the proposed subdivision schemes and the existing non-stationary su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a05ac95b34f3ca4d76c3f9929e1fcb1
http://www.sciencedirect.com/science/article/pii/S1110016816301740
http://www.sciencedirect.com/science/article/pii/S1110016816301740
Autor:
Konrad Polthier, Anna Wawrzinek
Publikováno v:
Computer-Aided Design. 78:60-70
Subdivision surfaces are a common tool in geometric modelling, especially in computer graphics and computer animation. Nowadays, this concept has become established in engineering too. The focus here is on quadrilateral control grids and generalized
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a9a17d73297d9aca78eadf1a165e9fd
https://doi.org/10.1016/j.cad.2016.05.008
https://doi.org/10.1016/j.cad.2016.05.008
Publikováno v:
Journal of Computational and Applied Mathematics. 301:16-27
In this work ternary non-stationary subdivision schemes, based on hyperbolic B-spline basis functions, have been presented. The proposed hyperbolic, ternary three point and four point subdivision schemes, give pleasing as well as consistent curves wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a6a063e170282cd33e1ae9bdc47c7eeb
https://doi.org/10.1016/j.cam.2016.01.001
https://doi.org/10.1016/j.cam.2016.01.001