DocumentCode :
1956358
Title :
Construct G1 Smooth Surface by Using Triangular Gregory Patches
Author :
Yang, Long ; He, Dongjian ; Zhang, Zhiyi
Author_Institution :
Coll. of Inf. Eng., Northwest A&F Univ., Shaanxi, China
fYear :
2009
fDate :
20-23 Sept. 2009
Firstpage :
577
Lastpage :
580
Abstract :
In order to interpolate a given triangle mesh into G1 smooth surface, in this paper, a new bi-cubic triangular Gregory patch is used. It guarantees G1 continuity along common boundary only depending on boundary control points and corresponding interior control points of two adjacent triangular meshes. Some interpolated examples demonstrate that global G1 smooth surfaces can be easily constructed by using the new bi-cubic triangular Gregory patch.
Keywords :
computational geometry; interpolation; mesh generation; G1 smooth surface; adjacent triangular meshes; bi-cubic triangular Gregory patches; boundary control points; interior control points; triangle mesh interpolation; Animation; Application software; Assembly; Educational institutions; Equations; Graphics; Helium; Interpolation; Reverse engineering; Shape; G1 continuity; Gregory patch; free-form surface; triangle mesh;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Image and Graphics, 2009. ICIG '09. Fifth International Conference on
Conference_Location :
Xi´an, Shanxi
Print_ISBN :
978-1-4244-5237-8
Type :
conf
DOI :
10.1109/ICIG.2009.55
Filename :
5437949
Link To Document :
https://search.ricest.ac.ir/dl/search/defaultta.aspx?DTC=49&DC=1956358
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