(in WR Franklin → Research)
Mike Gousie and I have new techniques for the classic problem of converting elevation contours to a grid. Our innovations reduce the terracing effect seen in many other methods, and produce a smoother, more realistic, result.
These techniques extend to generally fitting surfaces to points, and are used in some of our Alternate Terrain Reps.
Papers
- . Michael B. Gousie and Wm. Randolph Franklin. Photogrammetric Engineering \& Remote Sensing, 71(1):69-79, 2005. (paper).
- . Michael Gousie and W. Randolph Franklin. In Eighth International Symposium on Spatial Data Handling, pages 647-656, Vancouver BC Canada, Jul 1998. (paper, talk). Abstract: We present two new methods for approximating elevation data from contours to a grid. The first repeatedly interpolates new contour lines between the original ones. The second starts with any interpolated or approximated surface, determines its gradient lines, and does a Catmull-Rom spline interpolation along them to improve the elevations. We compare the new methods to a more classical thin-plate approximation on various data sets. The new methods appear visually smoother, with the undesirable terracing effect much reduced. Talk slides Old version of the Matlab code for the preliminary overdetermined Laplacian method.
- . Michael Gousie and W. Randolph Franklin. In Erik Hoel and Phillippe Rigaux, editor, GIS 2003: Proceedings of the Eleventh ACM International Symposium on Advances in Geographic Information Systems, pages 71-77, New Orleans, 2003. (paper).
PhD graduate
Michael B Gousie ''Contours to Digital Elevation Models: Grid-based Surface Reconstruction Methods'', 1998.
Masters graduate
John Childs ''Development of A Two-Level Iterative Computational Method for Solution of the Franklin Approximation Algorithm for the Interpolation of Large Contour Line Data Sets'', 2003.
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