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Machine contouring using minimum curvature
Abstract
Machine contouring must not introduce information which is not present in the data. The one-dimensional spline fit has well defined smoothness properties. These are duplicated for two-dimensional interpolation in this paper, by solving the corresponding differential equation. Finite difference equations are deduced from a principle of minimum total curvature, and an iterative method of solution is outlined. Observations do not have to lie on a regular grid. Gravity and aeromagnetic surveys provide examples which compare favorably with the work of draftsmen.
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Cited by
The extraction of drainage networks from digital elevation data
O'Callaghan, J. F., & Mark, D. M. (1984) · Computer Vision, Graphics, and Image Processing · doi:10.1016/s0734-189x(84)80011-0 · Cited by 2,752
A new procedure for gridding elevation and stream line data with automatic removal of spurious pits
Hutchinson, M. F. (1989) · Journal of Hydrology · doi:10.1016/0022-1694(89)90073-5 · Cited by 1,254
Smooth Pycnophylactic Interpolation for Geographical Regions
Tobler, W. R. (1979) · Journal of the American Statistical Association · doi:10.1080/01621459.1979.10481647 · Cited by 678
A stochastic estimator of the trace of the influence matrix for laplacian smoothing splines
Hutchinson, M. F. (1990) · Communications in Statistics - Simulation and Computation · doi:10.1080/03610919008812866 · Cited by 610
A Stochastic Estimator of the Trace of the Influence Matrix for Laplacian Smoothing Splines
Hutchinson, M. F. (1989) · Communications in Statistics - Simulation and Computation · doi:10.1080/03610918908812806 · Cited by 381
Metadata
- Authors
- Briggs, I. C.
- Venue
- Geophysics
- Publisher
- Society of Exploration Geophysicists
- Published
- 1974-02-01
- Volume
- 39
- Issue
- 1
- Pages
- 39-48
- ISSN
- 0016-8033 (ISSN-L)
- 1942-2156
- OpenAlex
- W2118623924
- Cited by
- 1,167
- References
- 0
- FWCI
- 9.56
- Type
- journal article
- Language
- en
- Open access
- closed
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- Briggs, I. C. (1974). Machine contouring using minimum curvature. Geophysics. https://doi.org/10.1190/1.1440410
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