1-d interpolation function with shape-preserving piecewise cubic interpolation  (MathWorks Inc)

Journal: Scientific Reports

Article Title: Detection of rock bridges by infrared thermal imaging and modeling

doi: 10.1038/s41598-019-49336-1

Figure Lengend Snippet: Comparison of the measured temperature profile for Boot Flake on 8 October 2015 at 17:45 PST with the modeled temperature profile with a 2.4-m-long rock bridge (results of the 12 th and final day of simulation at the exact same time). For the ease of comparison, all the temperatures of the modeled profile were reduced by 4.2 °C so that the minimum temperatures of measured and modeled profiles are identical. In addition, because the potential rock bridge is not exactly located in the center of Boot Flake, the position of the modeled profile has been moved downwards by 50 cm. To obtain a number of points similar to the modeled profile (i.e., one temperature value every 2 cm), the measured profile has been interpolated with a shape-preserving piecewise cubic interpolation (function PCHIP: Piecewise Cubic Hermite Interpolating Polynomial , of MATLAB). The distances IP 2 -IP 1 modeled and FWHM modeled (double white arrow) were determined using the interpolated profile.

Article Snippet: To obtain a number of points similar to the modeled profile (i.e., one temperature value every 2 cm), the measured profile has been interpolated with a shape-preserving piecewise cubic interpolation (function PCHIP: Piecewise Cubic Hermite Interpolating Polynomial , of MATLAB).

Techniques: Comparison, Preserving