caa a22 4500 475743679 CHVBK 20180406123506.0 cr unu---uuuuu 170329e20000701xx s 000 0 eng 10.1007/s003659910016 doi (NATIONALLICENCE)springer-10.1007/s003659910016 Zorin D. Department of Computer Science, Courant Institute of Mathematical Sciences New York University, 715 Broadway, NY 10003, New York, USA aut Smoothness of Stationary Subdivision on Irregular Meshes [Elektronische Daten] [D. Zorin] Abstract. : We derive necessary and sufficient conditions for tangent plane and C k -continuity of stationary subdivision schemes near extraordinary vertices. Our criteria generalize most previously known conditions. We introduce a new approach to analysis of subdivision surfaces based on the idea of the universal surface . Any subdivision surface can be locally represented as a projection of the universal surface, which is uniquely defined by the subdivision scheme. This approach provides us with a more intuitive geometric understanding of subdivision near extraordinary vertices. Springer-Verlag New York Inc., 2000 Key words. Stationary subdivision, Subdivision surfaces, Arbitrary meshes. AMS Classification. 65D10, 65D17, 68U05 nationallicence https://doi.org/10.1007/s003659910016 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003659910016 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zorin D. Department of Computer Science, Courant Institute of Mathematical Sciences New York University, 715 Broadway, NY 10003, New York, USA aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer