A curve-theorem based approach for change detection and its application to Yellow River Delta

Tian, Yun; Chen, S. P.; Xu, Bin; Liu, Q. S.; Li, H. G.; Liu, G. H.; Ye, Q. H.

doi:10.1080/01431160110106041

Cited by 25 publications

(12 citation statements)

References 14 publications

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“…Based on findings that slope, aspect and curvature were significant variables of surface analysis (Evans, 1980), Yue and Ai (1990) constructed a method for surface modelling of cirques and then developed the method to detect changes of earth surface systems (Yue et al, 2002). According to fundamental theorem of curves (Okubo, 1987;Toponogov, 2006), curvature, slope and intercept uniquely define a curve, and a surface is uniquely defined by the first and the second fundamental coefficients.…”

Section: Introductionmentioning

confidence: 99%

Surface modelling of soil pH

Shi

Liu

et al. 2009

Geoderma

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Section: Introductionmentioning

confidence: 99%

Surface modelling of soil pH

Shi

Liu

et al. 2009

Geoderma

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“…Furthermore, this study concentrates on improving the computing efficiency rather than proving higher accuracy of HASM. Thus, the accuracy analysis of the paper is rudimentary compared with previous study that aims to prove the accuracy of HASM (Shi et al 2009;Yue et al 2002Yue et al , 2013a.…”

Section: Resultsmentioning

confidence: 99%

“…It considers the various aspects of a surface, e.g. slope, aspect and curvature, and therefore could achieve a higher accuracy than classic interpolation methods (Yue et al 2002). According to the basic theorem of surfaces, a surface can be uniquely defined by the first and second fundamental coefficients (Toponogov 2006).…”

Section: Principlesmentioning

confidence: 99%

“…To further improve the accuracy of interpolated DEM surface and satisfy these accuracy-demanding applications, high-accuracy surface modelling (HASM) method was developed with the foundation of the first and second fundamental coefficients (Yue et al 2007. Since many studies found the accuracy of HASM outperforms the classical methods (Yue 2011), HASM has been applied in various fields such as DEM generation (Chen and Yue 2010;Yue and Wang 2010), climate change impact assessment (Yue et al 2002(Yue et al , 2013a and surface modelling of soil pH (Shi et al 2009). In these applications, HASM needs to solve a huge linear system, one for each lattice of a gridded surface, which results in computational power demanding and low computing efficiency problems (Yue et al 2007).…”

Section: Introductionmentioning

confidence: 99%

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Speeding up the high-accuracy surface modelling method with GPU

et al. 2015

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In order to find a solution for accurate, topographic data-demanding applications, such as catchment hydrologic modeling and assessments of anthropic activities impact on environmental systems, high-accuracy surface modeling (HASM) method is developed. Although it can produce a digital elevation model (DEM) surface of higher accuracy than classical methods, e.g. inverse distance weighted, spline and kriging, HASM requires numerous iterations to solve large linear systems, which impede its applications in high-resolution and large-scale surface interpolation. This paper aims to demonstrate the utilization of graphics' processing units (GPUs) device to accelerate HASM in constructing large-scale and highresolution DEM surfaces. We parallelized the linear system algorithm for solving HASM with Compute Unified Device Architecture, a parallel programming model developed by NVIDIA. We designed a memory-saving strategy to enable the HASM algorithm to run on GPUs. The speedup ratio of GPU-based algorithm was tested and compared with CPUbased algorithm through simulations of both ideal Gaussian synthetic surface and real topographic surface in the loess plateau of Gansu province. The GPU-parallelized algorithm can attain an over 109 speedup ratio with the CPUbased algorithm as a reference. The speedup ratio increases with the scale and resolution of the dataset. The memory management strategy efficiently reduces the memory usage by more than eight times the grid cell number. Implementing HASM in the GPUs device enables modeling large-scale and high-resolution surfaces in a reasonable time period and implies the potential benefits from the use of GPUs as massive, parallel co-processors for arithmeticintensive data-processing applications.

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“…It was learnt that slope and curvature are significant variables of surface analysis (Evans 1980). In fact, a curve is uniquely determined by its slope and its curvature in terms of curve-theorem in the plane (Spivak 1979).Following this consideration, a model for modeling cirques was constructed in terms of curvetheorem (Yue and Ai 1990), which was then developed for change detection of earth surface (Yue et al 2002).…”

Section: Development Of High Accuracy Surface Modelingmentioning

confidence: 99%

A review of recent developments in HASM

et al. 2015

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Ground observation is able to obtain highly accurate data with high temporal resolution at observation points, but these observation points are too sparsely to satisfy the application requirements at regional scale. Satellite remote sensing can frequently supply spatially continuous information on earth surface, which is impossible from ground-based investigations, but remote sensing description is not able to directly obtain process parameters. In fact, in terms of fundamental theorem of surfaces, a surface is uniquely defined by the first fundamental coefficients, about the details of the surface observed when we stay on the surface, and the second fundamental coefficients, the change of the surface observed from outside the surface. A method for high accuracy surface modeling (HASM) has been developed initiatively to find solutions for error problem and slow-speed problem of earth surface modeling since 1986. HASM takes global approximate information (e.g., remote sensing images or model simulation results) as its driving field and local accurate information (e.g., ground observation data and/or sampling data) as its optimum control constraints. Its output satisfies the iteration stopping criterion which is determined by application requirement for accuracy. This paper reviews problems to be solved in every development stage and applications of HASM.

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A curve-theorem based approach for change detection and its application to Yellow River Delta

Cited by 25 publications

References 14 publications

Surface modelling of soil pH

Surface modelling of soil pH

Speeding up the high-accuracy surface modelling method with GPU

A review of recent developments in HASM

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