ABSTRACT
In the field of scientific computing visualization, visual reality, computer animation and so on, shape metamorphosis is a very important research direction. This paper proposes a new nonlinear method of shape metamorphosis based on the bivariate vector valued rational interpolation. With the method, we can realize metamorphosis among series of polygons. First, construct a Newton-Thiele's vector valued interpolation surface for the coordinates of multiple polygons, then interpolation surface is resampled by this function, and finally get the metamorphosis polygons. The experimental results show that this method has better precision of calculation, easiness of programming as well.
- Li Huang (2009). Deformation algorithm under Many fixed point constraint[J]. Computer Engineering, 35(10), 25--26.Google Scholar
- Zhang Y (1996). A fuzzy approach to digital image warping[J]. IEEE Computer Graphics and Applications, 16(4), 34--41.Google ScholarDigital Library
- Liu L, Wang G, Zhang B, et al. (2004). Perceptually based approach for planar shape morphing[C]. Pacific Conference on Computer Graphics and Applications, 111 -120.Google Scholar
- Sederberg T W, Gao P, Wang G, et al. (1993). 2-D shape blending: an intrinsic solution to the vertex path problem[C]. International Conference on Computer Graphics and Interactive Techniques, 15--18.Google ScholarDigital Library
- Alexa M, Cohenor D, Levin D, et al. (2000). As-rigid-as-possible shape interpolation[C]. International Conference on Computer Graphics and Interactive Techniques, 157--164.Google ScholarDigital Library
- Groth C, Chiappa A, Biancolini M E, et al. (2018). Shape optimization using structural adjoint and RBF mesh morphing[J]. Procedia Structural Integrity, 379--389.Google Scholar
- Ballard G, Demmel J, Lipshitz B, et al. (2013). Communication efficient gaussian elimination with partial pivoting using a shape morphing data layout[C]. ACM Symposium on Parallel Algorithms and Architectures, 232--240.Google ScholarCross Ref
- Tan J and Fang Y (2000). Newton-Thiele's rational interpolants[J]. Numerical Algorithms, 24(1), 141--157.Google ScholarCross Ref
- Zhang Z B, Li G Q, Lu H N, et al. (2015). Fast as-isometric-as-possible shape interpolation[J]. Computers & Graphics, 46, 244--256.Google ScholarDigital Library
- Baek S Y, Lim J and Lee K (2015). Isometric shape interpolation[J]. Computers & Graphics, 46, 257--263.Google ScholarDigital Library
- Wu A, Zhang Z, Guan B, et al. A shape blending based design of printed slot antennas for various wideband applications[J]. Microwave and Optical Technology Letters, 2019, 61(2): 374--380.Google ScholarCross Ref
- Sederberg T W and Greenwood E (1992). A physical based approach to 2d shape blending[C]. Proceedings of the 19th Annual Conference on Computer Graphics and Interactive Techniques, New York: ACM Press, 25--34.Google ScholarDigital Library
- Gotsman C and Surazhsky V (2001). Guaranteed intersection-free polygon morphing[J]. Computers & Graphics, 25(1), 67--75.Google ScholarCross Ref
- Yang W and Feng J (2009). Technical Section: 2D shape morphing via automatic feature matching and hierarchical interpolation[J]. Computers & Graphics, 33(3), 414--423.Google ScholarDigital Library
- Weber O and Gotsman C (2010). Controllable conformal maps for shape deformation and interpolation[C]. International Conference on Computer Graphics and Interactive Techniques, 29(4).Google ScholarDigital Library
Index Terms
- Algorithm of Shape Morphing Based on Bivariate Non-linear Interpolation
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