Taking Dongting Lake district as the studying area and utilizing multi-temporal MOS-lb/MESSR data as remote sensing info source, by the combination operation and ratio transform processing and the image, spectrum and ...Taking Dongting Lake district as the studying area and utilizing multi-temporal MOS-lb/MESSR data as remote sensing info source, by the combination operation and ratio transform processing and the image, spectrum and histogram comparison of the MESSR image data of all bands for the flood season and dry season with the ER-DAS IMAGINE system, a classification model was established, which can be used to acquire the spatial distributing information of water bodies. Meanwhile a water depth index model was derived and built, and then a model for detecting the depth of water body based on the non-linear recursive analysis was presented. By the overlay analysis of the classification thematic images based on the model for extracting flood information, the flooding area and distributing information were acquired.展开更多
This paper discusses scattered data interpolation using cubic trigonometric Bézier triangular patches with C1 continuity everywhere.We derive the C1 condition on each adjacent triangle.On each triangular patch,we...This paper discusses scattered data interpolation using cubic trigonometric Bézier triangular patches with C1 continuity everywhere.We derive the C1 condition on each adjacent triangle.On each triangular patch,we employ convex combination method between three local schemes.The final interpolant with the rational corrected scheme is suitable for regular and irregular scattered data sets.We tested the proposed scheme with 36,65,and 100 data points for some well-known test functions.The scheme is also applied to interpolate the data for the electric potential.We compared the performance between our proposed method and existing scattered data interpolation schemes such as Powell–Sabin(PS)and Clough–Tocher(CT)by measuring the maximum error,root mean square error(RMSE)and coefficient of determination(R^(2)).From the results obtained,our proposed method is competent with cubic Bézier,cubic Ball,PS and CT triangles splitting schemes to interpolate scattered data surface.This is very significant since PS and CT requires that each triangle be splitting into several micro triangles.展开更多
Under the mild conditions, it is proved that the convex su rf ace is global C 1,1 , with the given Gaussian curvature 0≤K∈C ∞ 0 a nd the given boundary curve. Examples are given to show that the regularity is o pti...Under the mild conditions, it is proved that the convex su rf ace is global C 1,1 , with the given Gaussian curvature 0≤K∈C ∞ 0 a nd the given boundary curve. Examples are given to show that the regularity is o ptimal.展开更多
文摘Taking Dongting Lake district as the studying area and utilizing multi-temporal MOS-lb/MESSR data as remote sensing info source, by the combination operation and ratio transform processing and the image, spectrum and histogram comparison of the MESSR image data of all bands for the flood season and dry season with the ER-DAS IMAGINE system, a classification model was established, which can be used to acquire the spatial distributing information of water bodies. Meanwhile a water depth index model was derived and built, and then a model for detecting the depth of water body based on the non-linear recursive analysis was presented. By the overlay analysis of the classification thematic images based on the model for extracting flood information, the flooding area and distributing information were acquired.
基金This research was fully supported by Universiti Teknologi PETRONAS(UTP)and Ministry of Education,Malaysia through research grant FRGS/1/2018/STG06/UTP/03/1/015 MA0-020(New rational quartic spline interpolation for image refinement)and UTP through a research grant YUTP:0153AA-H24(Spline Triangulation for Spatial Interpolation of Geophysical Data).
文摘This paper discusses scattered data interpolation using cubic trigonometric Bézier triangular patches with C1 continuity everywhere.We derive the C1 condition on each adjacent triangle.On each triangular patch,we employ convex combination method between three local schemes.The final interpolant with the rational corrected scheme is suitable for regular and irregular scattered data sets.We tested the proposed scheme with 36,65,and 100 data points for some well-known test functions.The scheme is also applied to interpolate the data for the electric potential.We compared the performance between our proposed method and existing scattered data interpolation schemes such as Powell–Sabin(PS)and Clough–Tocher(CT)by measuring the maximum error,root mean square error(RMSE)and coefficient of determination(R^(2)).From the results obtained,our proposed method is competent with cubic Bézier,cubic Ball,PS and CT triangles splitting schemes to interpolate scattered data surface.This is very significant since PS and CT requires that each triangle be splitting into several micro triangles.
文摘Under the mild conditions, it is proved that the convex su rf ace is global C 1,1 , with the given Gaussian curvature 0≤K∈C ∞ 0 a nd the given boundary curve. Examples are given to show that the regularity is o ptimal.
