DocumentCode :
1860751
Title :
Filling Free-Form n-Sided Holes toward Blending and Decoration
Author :
Pei Zhou ; Wen-Han Qian ; Jun Luo ; Zan Pi
Author_Institution :
Beijing Aerosp. Syst. Eng. Inst., Beijing, China
fYear :
2013
fDate :
26-28 July 2013
Firstpage :
701
Lastpage :
706
Abstract :
A new approach to G1 filling of n-sided holes with free-form boundary curves (e.g., polynomial, rational, sinusoidal or other parametric forms) is presented. It has no intrinsic limitation but adequate freedoms for shape adjustment and optimization. The given n-sided hole is filled by rotating a cubic Bézier curve C around a fixed unit vector nc at a fixed center point c of the hole. C´s two end points fall on the hole boundary and c respectively. nc is C´s normal at c. In this way n triangular surfaces are generated in G0 contact. Then each crease between two adjacent triangular surfaces is smoothed by sweeping another cubic Bézier curve along the crease. Thus n leafy blending patches are produced to replace the overlapped parts of the triangular surfaces. The proposed algorithm is applied to some typical examples of hole-filling on free-form surfaces, such as blending and decoration.
Keywords :
computational geometry; adjacent triangular surfaces; cubic Bezier curve; filling free-form n-sided holes; free-form boundary curves; hole boundary; shape adjustment; shape optimization; triangular surfaces; Filling; Optimization; Shape; Splines (mathematics); Surface reconstruction; Surface topography; Vectors; blending; decoration; free-form surface; hole-filling;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Image and Graphics (ICIG), 2013 Seventh International Conference on
Conference_Location :
Qingdao
Type :
conf
DOI :
10.1109/ICIG.2013.142
Filename :
6643759
Link To Document :
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