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Issue No.02 - March (1995 vol.15)
pp: 37-43
ABSTRACT
A new approach to image warping based on scattered data interpolation methods provides smooth deformations with easily controllable behavior. A new, efficient deformation algorithm underlies the method.
INDEX TERMS
Image warping, deformation, scattered data interpolation
CITATION
Detlef Ruprecht, Heinrich Müller, "Image Warping with Scattered Data Interpolation", IEEE Computer Graphics and Applications, vol.15, no. 2, pp. 37-43, March 1995, doi:10.1109/38.365004
REFERENCES
1. D. Ruprecht and H. Müller, “Deformed Cross-Dissolves for Image Interpolation in Scientific Visualization,” J. of Visualization and Computer Animation, Vol. 5, No. 3, July 1994, pp. 167-181.
2. G. Wolberg, Digital Image Warping, IEEE CS Press, 1990.
3. D.B. Smythe, “A Two-Pass Mesh Warping Algorithm for Object Transformation and Image Interpolation,” Technical Memo 1030, Industrial Light and Magic, Computer Graphics Department, Lucasfilm Ltd., 1990.
4. T. Beier and S. Neely, "Feature Based Image Metamorphosis," Computer Graphics(Proc. Siggraph 91), ACM Press, New York, 1992, pp. 35-42.
5. A. Goshtasby, “Piecewise Linear Mapping Functions for Image Registration,” Pattern Recognition, Vol. 19, No. 6, 1986, pp. 459-466.
6. N. Arad et al., “Image Warping by Radial Basis Functions: Application to Facial Expressions,” Computer Vision, Graphics, and Image Processing: Graphical Models and Image Processing, Vol. 56, No. 2, March 1994, pp. 161-172.
7. A. Goshtasby, “Piecewise Cubic Mapping Functions for Image Registration,” Pattern Recognition, Vol. 20, No. 5, 1987, pp. 525-533.
8. D. Shepard, “A Two-Dimensional Interpolation Function for Irregularly Spaced Data,” Proc. 23rd National ACM Conf., ACM Press, New York, 1968, pp. 517-524.
9. R. Franke and G. Nielson, “Smooth Interpolation of Large Sets of Scattered Data,” Int’l J. for Numerical Methods in Engineering, Vol. 15, 1980, pp. 1,691-1,704.
10. D. Ruprecht and H. Müller, “Free-Form Deformation with Scattered Data Interpolation Methods,” in Geometric Modelling (Computing Suppl. 8), G. Farin, H. Hagen, and H. Noltemeier, eds., Springer Verlag, Vienna, 1993, pp. 267-281.
11. R.L. Hardy, “Multiquadric Equations of Topography and Other Irregular Surfaces,” J. of Geophysical Research, Vol. 76, No. 8, 1971, pp. 1,905-1,915.
12. M. Eck, “Interpolation Methods for Reconstruction of 3D Surfaces from Sequences of Planar Slices,” CAD und Computergraphik, Vol. 13, No. 5, Feb. 1991, pp. 109-120.
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