Biharmonic spline interpolation for solar radiation mapping using Puerto Rico as a case of study

Comparison of Residential Wind and Solar Energy Generation in the Island of Puerto Rico

“…In locations where there is significant amount of rainfall, there is lower solar radiation. Some of these locations are Rio Grande (El Yunque), Adjuntas, and Maricao [10].…”

Measurement of velocity and concentration profiles of pneumatically conveyed particles in a square-shaped pipe using electrostatic sensor arrays

“…According to the spatial sensitivity distributions of both electrostatic sensor arrays 1 and 2, the electrostatic signals from sensor array 1 contain information about the particles over the whole pipe cross section, while those from sensor array 2 contain information about the particle flow near the pipe walls [6]. In order to obtain an in-depth understanding of the particle flow dynamics over the pipe cross section, the relative concentration and velocity profiles of particle flow are obtained using the biharmonic spline interpolation method [26,27] other than a simple combination of the particle parameters measured in each of the nine zones [5]. Biharmonic spline interpolation, also known as biharmonic spline filtering, is a solution to the biharmonic equation based on the Green's function [26][27][28], which is initially developed to solve elasticity problems, such as calculate the elastic force distribution of a curved stretchable surface based on the mean elastic forces of several discrete small areas.…”

Research of correcting distorted X-ray images based on least squares and biharmonic spline surface

“…The biharmonic spline surface interpolation was first proposed by Sandwell DT in 1987 [19], and then investigated by many other scholars [20][21][22]. The interpolation takes on the overall smoothness and good local performance [19].…”

“…The technique of least squares has been widely used in many fields: statistics [14], image processing [15] and physics [16,17], and so on [18]. Biharmonic spline surface has been used in some fields, such as marine satellite measurement data [19], integration of logging and seismic data [20], image deformation [21], to name a few [22]. To our knowledge, few researches published the integrated approach with least squares and biharmonic spline surface in correcting distorted X-ray images.…”