Comparison of thin plate spline, polynomial, CI—function and Shepard’s interpolation techniques with GPS-derived DEM

GIS-Based Rainfall Estimator Evaluation and Interpolation Analysis Using ArcGIS

“…Interpolation is a technique used to calculate and estimating values in certain location for which there is no recorded observation by using existing data within the area covered [3]. The purpose of interpolation on this case is to analyze the spatial distributions of both SR and AR and to evaluate the rainfall measurement in uncovered area then create a continuous dataset that could be portrayed over a map of the sampled area.…”

Image Reconstruction and Evaluation of Micro-surfaces for MEMS Application

“…TPS algorithm uses radial basis function (RBFs) such as logarithmic RBFs and multiquadratic function that emphasizes on the local characteristics of the object, i.e., the reconstruction is largely unaffected at locations far from the RBFs. There is no unique procedure to define the RBF's; therefore, several basis functions have been developed and used in attempt to reconstruct objects from the measured DEMs [5,8,12]. In this paper, we want to obtain a continuous, smooth, and differentiable model of an image or micro-surface that passes through its DEM.…”

“…The second partial derivative of the reconstructed micro-surface represents the slope variation of the micro-surface, or in the geological terms: the dip variation of the geological unit [5]. The surface curvatures in x, y and xy or yx are…”

“…For example, low pass and median filtering techniques alone are not appropriate for high quality reconstruction of image because they deteriorate its high frequency components [4]. Therefore, researchers developed a wide range of techniques that target the image's components such as Markov random field (MRF), wavelet decomposition, Gaussian filter, multiquadratic biharmonic, Shepard's, -Function Interpolation and Thin Plate Spline (TPS) [5,6]. TPS algorithm is used in the representation of 3D object from 2D images.…”

Quantitative Evaluation of Spatial Interpolation Models Based on a Data-Independent Method

“…the procedure of estimating the value of properties at unsampled sites within areas covered by existing observations (Algarni & Hassan, 2001), appears various models using local/global, exact/approximate and deterministic/geostatistical methods. As being an essential tool for estimating spatial continuous data which plays a significant role in planning, risk assessment and decision making, interpolation methods have been applied to various disciplines concerned with the Earth's surface, such as cartography (Declercq, 1996), geography (Weng, 2002), hydrology (Lin & Chen, 2004), climatology (Attorre et al, 2007), ecology (Stefanoni & Ponce, 2006), agriculture and pedology (Wang et al, 2005;Robinson & Metternicht, 2006), landscape architecture (Fencik & Vajsablova, 2006) and so on.…”