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Journal ArticleDOI

Higher-order interpolation of regular grid digital elevation models

David B. Kidner
- 01 Jan 2003 - 
- Vol. 24, Iss: 14, pp 2981-2987
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TLDR
The hypothesis presented here, is that higher-order interpolation techniques will always be more accurate than the popular bilinear algorithm, and this hypothesis is evaluated through an assessment of the accuracy with which DEMs can be interpolated to higher spatial resolutions.
Abstract
The fundamental aim of a digital elevation model (DEM) is to represent a surface accurately, such that elevations can be estimated for any given location. It is, therefore, necessary to have efficient and precise algorithms for the computation of surface elevations between given points. The hypothesis presented here, is that higher-order interpolation techniques will always be more accurate than the likes of the popular bilinear algorithm. This hypothesis will be evaluated through an assessment of the accuracy with which DEMs can be interpolated to higher spatial resolutions. A variety of interpolation techniques are assessed, ranging from the one-term level plane to the 36-term biquintic polynomial. In general, techniques that take account of the local terrain neighbourhood are more consistent and accurate, reducing the rms. error by up to 20% of the bilinear interpolant.

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Citations
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TL;DR: The concept of a visualscape is introduced in the following section as a tentative unifying concept to describe all possible ways in which the structure of visual space may be defined, broken down and represented within GIS independently of the context in which it is applied.
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Spatio-temporal clustering for non-recurrent traffic congestion detection on urban road networks

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Impacts of global warming on residential heating and cooling degree-days in the United States

TL;DR: Changes in residential heating degree-days (HDD) and cooling degree- days (CDD) for the historical and future periods in the United States are project using median results from the Climate Model Intercomparison Project phase 5 (CMIP5) simulations under the Representation Concentration Pathway 8.5 (RCP8.5) scenario.
Journal ArticleDOI

Cross-validation as a means of investigating DEM interpolation error

TL;DR: The approach proposed in this paper is to resample a DEM to a lower resolution and then reinterpolate back to the original resolution which produces a large sample of error values well distributed across the DEM.
Journal ArticleDOI

Spatial PSF Nonuniformity Effects in Airborne Pushbroom Imaging Spectrometry Data

TL;DR: It is found that linear interpolation methods lead to average radiometric errors below 2% for the correction of spatial PSF nonuniformity in the subpixel domain, whereas the replacement of missing pixels leads to average errors in the range of 10%-20%
References
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Book

Numerical Recipes in C: The Art of Scientific Computing

TL;DR: Numerical Recipes: The Art of Scientific Computing as discussed by the authors is a complete text and reference book on scientific computing with over 100 new routines (now well over 300 in all), plus upgraded versions of many of the original routines, with many new topics presented at the same accessible level.
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Fitting surfaces to scattered data

TL;DR: A variety of numerical methods for fitting a function to data given at a set of points scattered throughout a domain in the plane are surveyed in this article, including polynomials, spline functions, and rational functions.
Journal ArticleDOI

A method of bivariate interpolation and smooth surface fitting based on local procedures

TL;DR: The proposed method is an extension of the method of univariate interpolation developed earlier by the author and is likewise based on local procedures on avoiding excessive undulation between given grid points.
Journal ArticleDOI

The accuracy of Digital Elevation Models interpolated to higher resolutions

TL;DR: In this article, the authors present theoretical and practical assessments of the accuracy with which Digital Elevation Models (DEMs) can be interpolated to higher resolutions and demonstrate that simple bilinear or bicubic convolution is an adequate approach.
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