Gridding with continuous curvature splines in tension

摘要: A gridding method commonly called minimum curvature is widely used in the earth sciences. The interpolates data to be gridded with a surface having continuous second derivatives and minimal total squared curvature. minimum-curvature has an analogy elastic plate flexure approximates shape adopted by thin flexed pass through points. Minimum-curvature surfaces may have large oscillations extraneous inflection points which make them unsuitable for many of applications where they are used. These can eliminated adding tension elastic-plate equation. It straightforward generalize algorithms include parameter; same system equations must solved either case only relative weights coefficients change. Therefore, solutions under require no more computational effort than solutions, any algorithm solve general system. We give common geologic examples produces erroneous results but yields good solution. also outline how improve convergence iterative solution equations.