Optimum Weight in Spline for Surface Model

  • 발행 : 2005.03.01

초록

The digital surface model (DSM) is used for several purposes in photogrammetry, remote sensing and laser scanned data such as orthoimage production, contours erivation, extraction of height information. Creation of a surface model from point-clouds (3-D sparse points) that can be derived from stereo imagery and range data (e.g. laser scanned data) can be done with several mathematical interpolation models. In this paper, thin-plate-spline (TPS) is used for digital surface modeling. Determination of suitable weight is an important problem in thin-plate function for a surface. The Voronoi algorithm has been proposed as a method for determination of the weight in thin-plate-spline. In this paper, methods has been tested for different surfaces. The results show that thin-plate-spline can be independent of weight.

키워드

참고문헌

  1. Bazen, A. M. and Gerez, S. H., 2002, Thin-Plate Modelling of Elastic Deformations in Fingewrprints, 3rd IEEE Benelux Signal Processing Symposium, Leuven, Belgium, 21-22
  2. Billings, S. D., Beatsonz, R. K., and Newsam, G. N., 2002, Interpolation of geophysical data using continuous global surfaces, J. GEOPHYSICS, 67, 6
  3. Duchon, J., 1976, Interpolation des fonctions de deux variables suivant le principe de la flexion des plaques minces, RAIRO Analyse Numerique 10, 5-12
  4. Franke, R., 1982, Smooth interpolation of scattered data by local thin plate splines, Computing and Mathematics with Applications 8, 273-281 https://doi.org/10.1016/0898-1221(82)90009-8
  5. Meinguet, K., 1979, Multivariate Interpolation at Arbitrary Points Made Simple, J. Appl. Math. Phys. 30, 292-304 https://doi.org/10.1007/BF01601941
  6. Pedersen, L., 2000, Estimation of thin plate spline WARP Parameters from protein spot positions in 2D, ELECTROPHORESIS GELS
  7. Gousie, M. B., 2004, Converting Elevation Contours to a Grid
  8. Maillet, G., 2004, DSM reconstruction, Manual of photogrammetry
  9. htttp://mathworld.wolfram.com Thin Plate Spline
  10. Jenkins, D. R., 2000, Thin plate spline interpolation in an annulus, ANZIAM J. 42 (E) C819 https://doi.org/10.21914/anziamj.v42i0.623
  11. Boztosun, I.. Chara, A.. Zerroukat, M. and Djidjeli, K. 2002, Thin-Plate Spline Radial Basis Function Scheme for Advection- Diffusion Problemsm, Electronic Journal of Boundary Elements, Vol. BETEQ, 2, 267-282
  12. Goncalves, G., Julien P., Riazanoff, S., and Cervelle, B., 2002, Preserving cartographic quality in DTM interpolation from contour lines, ISPRS 56, 210-220 https://doi.org/10.1016/S0924-2716(02)00044-8
  13. Sjowall, A., 2004, Short Report on OrthoEngine. Vilnius 2001-04-08