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1

Mahfouz, Mohamed A. "INCORPORATING DENSITY IN K-NEAREST NEIGHBORS REGRESSION." International Journal of Advanced Research in Computer Science 14, no. 03 (2023): 144–49. http://dx.doi.org/10.26483/ijarcs.v14i3.6989.

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The application of the traditional k-nearest neighbours in regression analysis suffers from several difficulties when only a limited number of samples are available. In this paper, two decision models based on density are proposed. In order to reduce testing time, a k-nearest neighbours table (kNN-Table) is maintained to keep the neighbours of each object x along with their weighted Manhattan distance to x and a binary vector representing the increase or the decrease in each dimension compared to x’s values. In the first decision model, if the unseen sample having a distance to one of its neig
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KALIDEEN, Muhammad Rifthy, Murat OSMANOGLU, and Bulent TUGRUL. "PRIVACY-PRESERVING K-NEAREST NEIGHBOUR INTERPOLATION METHOD IN AN OUTSOURCED ENVIRONMENT." Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering 61, no. 1 (2019): 1–11. http://dx.doi.org/10.33769/aupse.533815.

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One
 of the most emerging computer technologies of this decade is cloud computing
 that allows data owners to outsource their storage and computing requirements.
 It enables data owners to avoid the costs of building and maintaining a private
 storage infrastructure. While outsourcing data to cloud promises significant
 benefits, it possesses substantial security and privacy concerns, especially
 when data stored in the cloud is sensitive and confidential, like a business
 plan. Encrypting the data before outsourcing can ensure privacy. However, it
 will
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Sekulić, Aleksandar, Milan Kilibarda, Gerard B. M. Heuvelink, Mladen Nikolić, and Branislav Bajat. "Random Forest Spatial Interpolation." Remote Sensing 12, no. 10 (2020): 1687. http://dx.doi.org/10.3390/rs12101687.

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For many decades, kriging and deterministic interpolation techniques, such as inverse distance weighting and nearest neighbour interpolation, have been the most popular spatial interpolation techniques. Kriging with external drift and regression kriging have become basic techniques that benefit both from spatial autocorrelation and covariate information. More recently, machine learning techniques, such as random forest and gradient boosting, have become increasingly popular and are now often used for spatial interpolation. Some attempts have been made to explicitly take the spatial component i
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Otepka, J., G. Mandlburger, W. Karel, B. Wöhrer, C. Ressl, and N. Pfeifer. "A FRAMEWORK FOR GENERIC SPATIAL SEARCH IN 3D POINT CLOUDS." ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences V-2-2021 (June 17, 2021): 35–42. http://dx.doi.org/10.5194/isprs-annals-v-2-2021-35-2021.

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Abstract. Modern data acquisition with active or passive photogrammetric imaging techniques generally results in 3D point clouds. Depending on the acquisition or processing method, the spacing of the individual points is either uniform or irregular. In the latter case, the neighbourhood definition like for digital images (4- or 8-neighbourhood, etc.) cannot be applied. Instead, analysis requires a local point neighbourhood. The local point neighbourhood with conventional k-nearest neighbour or fixed distance searches often produce sub-optimal results suffering from the inhomogeneous point dist
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Franceschi, Sara, Rosa Maria Di Biase, Agnese Marcelli, and Lorenzo Fattorini. "Some Empirical Results on Nearest-Neighbour Pseudo-populations for Resampling from Spatial Populations." Stats 5, no. 2 (2022): 385–400. http://dx.doi.org/10.3390/stats5020022.

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In finite populations, pseudo-population bootstrap is the sole method preserving the spirit of the original bootstrap performed from iid observations. In spatial sampling, theoretical results about the convergence of bootstrap distributions to the actual distributions of estimators are lacking, owing to the failure of spatially balanced sampling designs to converge to the maximum entropy design. In addition, the issue of creating pseudo.populations able to mimic the characteristics of real populations is challenging in spatial frameworks where spatial trends, relationships, and similarities am
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Malvić, Tomislav, Josip Ivšinović, Josipa Velić, and Rajna Rajić. "Interpolation of Small Datasets in the Sandstone Hydrocarbon Reservoirs, Case Study of the Sava Depression, Croatia." Geosciences 9, no. 5 (2019): 201. http://dx.doi.org/10.3390/geosciences9050201.

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The interpolation of small datasets is challenging problem regarding the selection of interpolation methods and type of datasets. Here, for such analysis, the analysed data was taken in two hydrocarbon fields (“A” and “B”), located in the western part of the Sava Depression (in Northern Croatia). The selected reservoirs “L” (in the “A” Field) and “K” (“B”) are of Lower Pontian (Upper Miocene) age and belong to the Kloštar-Ivanić Formation. Due to strong tectonics, there are numerous tectonic blocks, each sampled with only a few wells. We selected two variables for interpolation—reservoirs perm
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Suarez, Cesar, Trisalyn Nelson, and Karen Laberee. "Cosine: A Tool for Constraining Spatial Neighbourhoods in Marine Environments." GEOMATICA 69, no. 1 (2015): 95–111. http://dx.doi.org/10.5623/cig2015-107.

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Spatial analysis methods used for detecting, interpolating, or predicting local patterns in geographic data require delineating a neighbourhood to define the extent of the spatial interaction. Certain spatial analysis methods, such as interpolation, have implemented the concept of directionality and barriers. However, not all approaches take into consideration geographic or environmental constraints such as impassable mountain ranges, road networks, or coastlines. Specifically, complex marine landscapes and coastlines pose problematic neighbourhood definitions for standard neighbourhood matric
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Maleika, Wojciech. "Inverse distance weighting method optimization in the process of digital terrain model creation based on data collected from a multibeam echosounder." Applied Geomatics 12, no. 4 (2020): 397–407. http://dx.doi.org/10.1007/s12518-020-00307-6.

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Abstract This paper presents the optimization of the inverse distance weighting method (IDW) in the process of creating a digital terrain model (DTM) of the seabed based on bathymetric data collected using a multibeam echosounder (MBES). There are many different methods for processing irregular measurement data into a grid-based DTM, and the most popular of these methods are inverse distance weighting (IDW), nearest neighbour (NN), moving average (MA) and kriging (K). Kriging is often considered one of the best methods in interpolation of heterogeneous spatial data, but its use is burdened by
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Xu, H., R. De Jong, S. Gameda, and B. Qian. "Development and evaluation of a Canadian agricultural ecodistrict climate database." Canadian Journal of Soil Science 90, no. 2 (2010): 373–85. http://dx.doi.org/10.4141/cjss09064.

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Spatially representative climate data are required input in various agricultural and environmental modelling studies. An agricultural ecodistrict climate database for Canada was developed from climate station data using a spatial interpolation procedure. This database includes daily maximum and minimum air temperatures, precipitation and incoming global solar radiation, which are necessary inputs for many agricultural modelling studies. The spatial interpolation procedure combines inverse distance squared weighting with the nearest neighbour approach. Cross-validation was performed to evaluate
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Vázquez, Raúl F., Pablo V. Mosquera, and Henrietta Hampel. "Bathymetric Modelling of High Mountain Tropical Lakes of Southern Ecuador." Water 16, no. 8 (2024): 1142. http://dx.doi.org/10.3390/w16081142.

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Very little is known on high mountain tropical lakes of South America. Thus, the main motivation of this research was obtaining base bathymetric data of 119 tropical lakes of the Cajas National Park (CNP), Ecuador, that could be used in future geomorphological studies. Eleven interpolation methods were applied with the intention of selecting the best one for processing the scattered observations that were collected with a low-cost fishing echo-sounder. A split-sample (SS) test was used and repeated several times considering different proportions of available observations, selected randomly, fo
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Pasari, S., P. Asudani, and A. Mehta. "Machine learning algorithms in geostatistical data analysis: formulation and observation." IOP Conference Series: Earth and Environmental Science 1032, no. 1 (2022): 012008. http://dx.doi.org/10.1088/1755-1315/1032/1/012008.

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Abstract Geostatistical analyses on spatiotemporal datasets have been increasingly popular on diverse disciplines including environmental sciences, soil and earth studies, meteorology, hydrology, and oceanography. They help in documenting and summarizing information to understand the variation of the process and other parameters. Due to high spatial variability and noise in the dataset, traditional geostatistical tools often fail to produce desirable results. In view of this, the present study proposes two machine learning methods, namely artificial neural network (ANN) and k-nearest neighbour
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Hien, Dang Thi Thu, Hoang Xuan Huan, and Le Xuan Minh Hoang. "An Effective Solution to Regression Problem by RBF Neuron Network." International Journal of Operations Research and Information Systems 6, no. 4 (2015): 57–74. http://dx.doi.org/10.4018/ijoris.2015100104.

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Radial Basis Function (RBF) neuron network is being applied widely in multivariate function regression. However, selection of neuron number for hidden layer and definition of suitable centre in order to produce a good regression network are still open problems which have been researched by many people. This article proposes to apply grid equally space nodes as the centre of hidden layer. Then, the authors use k-nearest neighbour method to define the value of regression function at the center and an interpolation RBF network training algorithm with equally spaced nodes to train the network. The
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Kim, K. S., R. M. Beresford, and W. R. Henshall. "A costloss analysis to evaluate the value of weather estimates as inputs to a disease risk model." New Zealand Plant Protection 61 (August 1, 2008): 296–300. http://dx.doi.org/10.30843/nzpp.2008.61.6839.

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To assess the value of weather estimates the expenses including the cost of spray application and the losses incurred because of a disease were analysed using disease risk simulations In this case study the risk of botrytis bunch rot was simulated using weather estimates as inputs to a disease risk model Those estimates were obtained using spatial interpolation and nearest neighbour methods Possible cost was calculated based on 2 by 2 matrices under the assumption that fungicide spray decisions were made using the disease risk model with estimated weather data The expenses associated with each
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Wojciech, Maleika. "Kriging Method Optimization for the Process of DTM Creation Based on Huge Data Sets Obtained from MBESs." Geosciences 8, no. 12 (2018): 433. http://dx.doi.org/10.3390/geosciences8120433.

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The paper presents an optimized method of digital terrain model (DTM) estimation based on modified kriging interpolation. Many methods are used for digital terrain model creation; the most popular methods are: inverse distance weighing, nearest neighbour, moving average, and kriging. The latter is often considered to be one of the best methods for interpolation of non-uniform spatial data, but the good results with respect to model’s accuracy come at the price of very long computational time. In this study, the optimization of the kriging method was performed for the purpose of seabed DTM crea
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Oujezdský, Aleš. "Optimizing Video Clips in Educational Materials." International Journal of Information and Communication Technologies in Education 1, no. 2 (2012): 68–79. http://dx.doi.org/10.1515/ijicte-2012-0006.

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Abstract The use of videos from digital camcorders has become a standard in education in recent years. The curriculum is easily accessible and appeals to a wider audience. The lessons use videos of various physical processes and chemical experiments. However there can be problems with this format. The video quality is often degraded in the final stage when the video is being prepared for placement in education. These include teaching materials in the form of web pages, elearning courses or flash multimedia objects. The final product of editing video from a digital camcorder is a DVD video. How
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Wesson, Stephen M., and Geoffrey G. S. Pegram. "Radar rainfall image repair techniques." Hydrology and Earth System Sciences 8, no. 2 (2004): 220–34. http://dx.doi.org/10.5194/hess-8-220-2004.

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Abstract. There are various quality problems associated with radar rainfall data viewed in images that include ground clutter, beam blocking and anomalous propagation, to name a few. To obtain the best rainfall estimate possible, techniques for removing ground clutter (non-meteorological echoes that influence radar data quality) on 2-D radar rainfall image data sets are presented here. These techniques concentrate on repairing the images in both a computationally fast and accurate manner, and are nearest neighbour techniques of two sub-types: Individual Target and Border Tracing. The contamina
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Xue, Feng, Peng Shi, Simin Qu, Jianjin Wang, and Yanming Zhou. "Evaluating the impact of spatial variability of precipitation on streamflow simulation using a SWAT model." Water Policy 21, no. 1 (2018): 178–96. http://dx.doi.org/10.2166/wp.2018.118.

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Abstract The spatial variability of precipitation is often considered to be a major source of uncertainty for hydrological models. The widely used Soil and Water Assessment Tool (SWAT) is insufficient to calculate a sub-basin's mean areal precipitation (MAP) since it only uses data from the rainfall station nearest to the centroid of each sub-basin. Therefore, Inverse Distance Weighting (IDW), Thiessen Polygons (TP) and Ordinary Kriging (OK) were applied as alternative interpolation methods in this study to calculate sub-basin MAP. The MAP results from the four methods used for the Xixian Basi
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Teegavarapu, Ramesh S. V. "Missing precipitation data estimation using optimal proximity metric-based imputation, nearest-neighbour classification and cluster-based interpolation methods." Hydrological Sciences Journal 59, no. 11 (2014): 2009–26. http://dx.doi.org/10.1080/02626667.2013.862334.

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Fisikopoulos, V. "GEODESIC ALGORITHMS: AN EXPERIMENTAL STUDY." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-4/W14 (August 23, 2019): 45–47. http://dx.doi.org/10.5194/isprs-archives-xlii-4-w14-45-2019.

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<p><strong>Abstract.</strong> The figure of the Earth can be modelled either by a cartesian plane, a sphere or an (oblate) ellipsoid, in decreasing order with respect to the approximation quality. Based on those models, we experimentally study the accuracy-performance trade-offs of various methods for some basic geodesic problems. For our experiments we use the open source libraries Boost Geometry and GeographicLib. Our results can be used as a reference for practitioners that want to use the most efficient method with respect to some given accuracy. Geodesic computations are
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Wang, Yifu, and Yiling Yang. "Study of Tennis Match Momentum based on Random Forest and BP Neural Network Models." Academic Journal of Science and Technology 11, no. 3 (2024): 233–38. http://dx.doi.org/10.54097/60xjyf30.

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The aim of this study is to scientifically analyse the "momentum" of a tennis match by developing a mathematical model. Data preprocessing techniques, such as K-nearest neighbour interpolation, were used to deal with missing values in dynamic matches. By filtering key metrics through principal component analysis and constructing a random forest model, we are able to quantitatively assess player performance. Using BP neural network models and genetic algorithms to optimise weights and biases, we improve the accuracy of match trend prediction. The analyses showed the significant influence of mat
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Veluchamy, Raaja Raajan Angathevar, Zbigniew Lewandowski, and Haluk Beyenal. "Characterizing temporal development of biofilm porosity using artificial neural networks." Water Science and Technology 57, no. 12 (2008): 1867–72. http://dx.doi.org/10.2166/wst.2008.608.

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We used artificial neural networks (ANN) to compute parameters characterising biofilm structure from biofilm images and to interpolate a limited number of experimental data characterising the effects of nutrient concentration and flow velocity on the areal porosity of biofilms. ANN were trained using a set of experimental data characterising structural parameters of biofilms of Pseudomonas aeruginosa (ATCC #700829), Pseudomonas fluorescens (ATCC #700830) and Klebsiella pneumoniae (ATCC #700831) for various flow velocities and glucose concentrations. We used 80% of the data to train ANN and 10%
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Skromulis, Andris, Juris Breidaks, Svetlana Aņiskeviča, Līga Klints, and Darja Hudjakova. "EVALUATING THE PERFORMANCE OF EFAS HYDROLOGICAL PREDICTIONS IN LATVIAN RIVER BASINS: A COMPARISON WITH OBSERVATIONAL DATA." ENVIRONMENT. TECHNOLOGY. RESOURCES. Proceedings of the International Scientific and Practical Conference 1 (June 11, 2025): 509–14. https://doi.org/10.17770/etr2025vol1.8705.

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This study evaluates the performance of the European Flood Awareness System (EFAS) [1] in predicting hydrological variables by comparing EFAS reforecast data with observational data from the Latvian Environment, Geology and Meteorology Centre (LVGMC). Using the open-source LISFLOOD hydrological model [2], the study examines the accuracy of ECMWF-driven predictions of river discharge and water levels across Latvia’s diverse river basins. The study employs a variety of interpolation techniques, including linear interpolation and nearest neighbour interpolation, to extract grid data from the Cope
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Noor, Norazian Mohamed, A. S. Yahaya, N. A. Ramli, and Mohd Mustafa Al Bakri Abdullah. "Filling the Missing Data of Air Pollutant Concentration Using Single Imputation Methods." Applied Mechanics and Materials 754-755 (April 2015): 923–32. http://dx.doi.org/10.4028/www.scientific.net/amm.754-755.923.

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Hourly measured PM10 concentration at eight monitoring stations within peninsular Malaysia in 2006 was used to conduct the simulated missing data. The gap lengths of the simulated missing values are limited to 12 hours since the actual trend of missingness is considered short. Two percentages of simulated missing gaps were generated that are 5 % and 15 %. A number of single imputation methods (linear interpolation (LI), nearest neighbour interpolation (NN), mean above below (MAB), daily mean (DM), mean 12-hour (12M), mean 6-hour (6M), row mean (RM) and previous year (PY)) were calculated to fi
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van der Heijden, S., and U. Haberlandt. "Influence of spatial interpolation methods for climate variables on the simulation of discharge and nitrate fate with SWAT." Advances in Geosciences 27 (September 10, 2010): 91–98. http://dx.doi.org/10.5194/adgeo-27-91-2010.

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Abstract. For ecohydrological modeling climate variables are needed on subbasin basis. Since they usually originate from point measurements spatial interpolation is required during preprocessing. Different interpolation methods yield data of varying quality, which can strongly influence modeling results. Four interpolation methods to be compared were selected: nearest neighbour, inverse distance, ordinary kriging, and kriging with external drift (Goovaerts, 1997). This study presents three strategies to evaluate the influence of the interpolation method on the modeling results of discharge and
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Huang, Shuai, Kun Zhao, Zhengqi Zheng, Wenqing Ji, Tianyi Li, and Xiaofei Liao. "An Optimized Fingerprinting-Based Indoor Positioning with Kalman Filter and Universal Kriging for 5G Internet of Things." Wireless Communications and Mobile Computing 2021 (June 19, 2021): 1–10. http://dx.doi.org/10.1155/2021/9936706.

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Fingerprinting technique for indoor positioning based on 5G system has attracted attention. Kalman filter (KF) is used as preprocessing of raw data to reduce the disturbance of Received Signal Strength (RSS) values. After preprocessing, Universal Kriging (UK) algorithm is adopted to reduce the efforts of establishing a fingerprinting database by Spatial Interpolation. A machine learning algorithm named K -Nearest Neighbour (KNN) is used to calculate user equipment’s position. Real experiments are setup with 5G signals over the air. Two indoor scenarios are considered depending whether the base
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López, Gómez Javier, Pastoriza Francisco Troncoso, Fariña Elena Arce, Oller Pablo Eguía, and Álvarez Enrique Granada. "Use of a numerical weather prediction model as a meteorological source for the estimation of heating demand in building thermal simulations." Sustainable Cities and Society 62 (June 5, 2020): 102403. https://doi.org/10.1016/j.scs.2020.102403.

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Abstract Thermal simulations are a commonly used tool for energy efficiency analysis of buildings. Regional meteorological station networks are a prime source of weather data inputs, required for building thermal simulations. However, local measurements from weather stations are not always available, and when they are, accessing these data can be expensive. This paper analyses a novel use of a numerical weather prediction mesoscale model, the Global Forecast System (GFS) sflux model, as a source of input data for transient thermal simulations. Two interpolation techniques (nearest neighbour an
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Singh, A., P. Bhardwaj, and S. Biswas. "BUILDING A MODEL FOR RESERVOIR CHARACTERISATION IN GIS USING MACHINE LEARNING." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLIII-B4-2020 (August 25, 2020): 501–6. http://dx.doi.org/10.5194/isprs-archives-xliii-b4-2020-501-2020.

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Abstract. The authors have tried to build a 3D model for reservoir characterization. The model is planned in such a way to accommodate multiple wells with their Petro-physical data spatially using different grids and then integrating the data to determine the reservoir characteristics for unknown locations in 3D. Initially, the model is planned using well log data of Equinor Volve field (central part of North Sea). Computational analysis for reservoir characterization was conducted in GIS type platform using ML approach integrating with MATLAB and PYTHON plugins. The model provides an opportun
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Majumder, Jayeeta, and Chittaranjan Pradhan. "An interpolation based steganographic technique with least significant-bit and pixel value differencing in a pixel block." Indonesian Journal of Electrical Engineering and Computer Science 27, no. 2 (2022): 1074–82. https://doi.org/10.11591/ijeecs.v27.i2.pp1074-1082.

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Over the past few years, in order to improve the hiding capacity and the peak signal-to-noise ratio (PSNR) value, several steganographic techniques have been developed. Steganography has become a popular technique to transmit secret data through any medium. In image steganography, the human eye cannot easily identify the hidden data which is embedded into the image. Small changes are also not detected by the human eye. High hidden capacity along with high visual quality is provided by the pixel value differencing (PVD) method. This paper first proposes the method of interpolation between the p
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Alfaqheri, Taha, Akuha Solomon Aondoakaa, Mohammad Rafiq Swash, and Abdul Hamid Sadka. "Low-delay single holoscopic 3D computer-generated image to multiview images." Journal of Real-Time Image Processing 17, no. 6 (2020): 2015–27. http://dx.doi.org/10.1007/s11554-020-00991-y.

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Abstract Due to the nature of holoscopic 3D (H3D) imaging technology, H3D cameras can capture more angular information than their conventional 2D counterparts. This is mainly attributed to the macrolens array which captures the 3D scene with slightly different viewing angles and generates holoscopic elemental images based on fly’s eyes imaging concept. However, this advantage comes at the cost of decreasing the spatial resolution in the reconstructed images. On the other hand, the consumer market is looking to find an efficient multiview capturing solution for the commercially available autost
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Oni, Olubukola A., and Ahzegbobor P. Aizebeokhai. "Aeromagnetic data processing using MATLAB." IOP Conference Series: Earth and Environmental Science 993, no. 1 (2022): 012017. http://dx.doi.org/10.1088/1755-1315/993/1/012017.

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Abstract This study focuses on the evaluation of magnetic field variation in a two-dimensional plot in form of a contour map by carrying out interpolation on the magnetic field data and mapping regional structures to infer the direction of dykes. To pinpoint areas of magnetic highs and lows, MATLAB program was used to delineate magnetic field trends on the data. The program was also used to produce graphical, colourized and contoured plots of data from XYZ files (data with random locations) using interpolation functions. The program was used for both gridding and smoothening of the magnetic fi
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Teegavarapu, Ramesh S. V., Alaa Aly, Chandra S. Pathak, Jon Ahlquist, Henry Fuelberg, and Jill Hood. "Infilling missing precipitation records using variants of spatial interpolation and data-driven methods: use of optimal weighting parameters and nearest neighbour-based corrections." International Journal of Climatology 38, no. 2 (2017): 776–93. http://dx.doi.org/10.1002/joc.5209.

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Berkhoff, A. P., H. J. Huisman, J. M. Thijssen, E. M. G. P. Jacobs, and R. J. F. Homan. "Fast Scan Conversion Algorithms for Displaying Ultrasound Sector Images." Ultrasonic Imaging 16, no. 2 (1994): 87–108. http://dx.doi.org/10.1177/016173469401600203.

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Two fast algorithms for interpolation of ultrasonic sector-scans were developed. Both algorithms are based on line-drawing algorithms and are free from multiplications in the innermost loops. The algorithms were compared to the following conventional interpolators: 2-D windowed sinc, bicubic spline, 4 × 4 point bicubic spline, bilinear, and nearest neighbor. The most accurate of the two new algorithms is about eight times faster than nearest neighbor interpolation. The quantitative errors are of the same order as the errors of the nearest neighbor interpolator. The subjective image quality is
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Richard, William D., and R. Martin Arthur. "Real-Time Ultrasonic Scan Conversion via Linear Interpolation of Oversampled Vectors." Ultrasonic Imaging 16, no. 2 (1994): 109–23. http://dx.doi.org/10.1177/016173469401600204.

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Scan conversion is required in order to display conventional B-mode ultrasonic signals, which are acquired along radii at varying angles, on standard Cartesian-coordinate video monitors. For real-time implementations, either nearest-neighbor or bilinear interpolation is usually used in scan conversion. If the sampling rate along each radius is high enough, however, the gray-scale value of a given pixel can be interpolated accurately using the nearest samples on two adjacent vectors. The required interpolation then reduces to linear interpolation. Oversampling by a factor of 2 along with linear
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Pratiwi, Retno Ariyanti, Muhammad Nur Aidi, and Anik Djuraidah. "Kajian Simulasi Perbandingan Interpolasi Tetangga Terdekat dan 2-Tetangga Terdekat pada Sebaran Titik Spasial." Xplore: Journal of Statistics 2, no. 2 (2018): 58–65. http://dx.doi.org/10.29244/xplore.v2i2.106.

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Spatial point distribution in an area has three types of pattern. They are random, regular, and cluster. A set of points in space is an information about the number of events in that particular space. Oftenly, the number of events in a space is difficult to obtain, thus number of events estimation is necessary in order to conduct analysis and generate the right conclusion. This research uses nearest neighbor and 2- nearest neighbors interpolation as an interpolation methods under the principle of the object location proximity. The accuracy measurements were used in both methods can be computed
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El-Ashmawy, N., and A. Shaker. "Raster Vs. Point Cloud LiDAR Data Classification." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XL-7 (September 19, 2014): 79–83. http://dx.doi.org/10.5194/isprsarchives-xl-7-79-2014.

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Airborne Laser Scanning systems with light detection and ranging (LiDAR) technology is one of the fast and accurate 3D point data acquisition techniques. Generating accurate digital terrain and/or surface models (DTM/DSM) is the main application of collecting LiDAR range data. Recently, LiDAR range and intensity data have been used for land cover classification applications. Data range and Intensity, (strength of the backscattered signals measured by the LiDAR systems), are affected by the flying height, the ground elevation, scanning angle and the physical characteristics of the objects surfa
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Osmanoglu, Murat, Salih Demir, and Bulent Tugrul. "Privacy-preserving k-NN interpolation over two encrypted databases." PeerJ Computer Science 8 (May 31, 2022): e965. http://dx.doi.org/10.7717/peerj-cs.965.

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Cloud computing enables users to outsource their databases and the computing functionalities to a cloud service provider to avoid the cost of maintaining a private storage and computational requirements. It also provides universal access to data, applications, and services without location dependency. While cloud computing provides many benefits, it possesses a number of security and privacy concerns. Outsourcing data to a cloud service provider in encrypted form may help to overcome these concerns. However, dealing with the encrypted data makes it difficult for the cloud service providers to
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Ahlawat, Ritu. "Geostatistical Approach in Spatial Estimates of Rainfall: Betwa River Catchment." International Journal of Advancement in Remote Sensing, GIS and Geography 2, no. 1 (2014): 45–61. https://doi.org/10.5281/zenodo.4393541.

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As the point-based rainfall observation design has implications in correctly representing spatially continuous rainfall values, therefore methods ranging from simple arithmetic mean to isopleths and Thiessen’s polygon-based weighted means have been generally employed by hydrologists in order to obtain mean basin rainfall. The utility of these methods is important especially for analysing the spatial distribution of network and thereafter to suggest locations. Hence, advanced mathematical versions using network theory, geostatistical approach and optimum path analysis have been used to se
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Morrison, Alistair, and Matthew Chalmers. "A Pivot-Based Routine for Improved Parent-Finding in Hybrid MDS." Information Visualization 3, no. 2 (2004): 109–22. http://dx.doi.org/10.1057/palgrave.ivs.9500069.

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The problem of exploring or visualising data of high dimensionality is central to many tools for information visualisation. Through representing a data set in terms of inter-object proximities, multidimensional scaling may be employed to generate a configuration of objects in low-dimensional space in such a way as to preserve high-dimensional relationships. An algorithm is presented here for a heuristic hybrid model for the generation of such configurations. Building on a model introduced in 2002, the algorithm functions by means of sampling, spring model and interpolation phases. The most com
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Gallagher, Meurig T., and David J. Smith. "Passively parallel regularized stokeslets." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2179 (2020): 20190528. http://dx.doi.org/10.1098/rsta.2019.0528.

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Stokes flow, discussed by G.G. Stokes in 1851, describes many microscopic biological flow phenomena, including cilia-driven transport and flagellar motility; the need to quantify and understand these flows has motivated decades of mathematical and computational research. Regularized stokeslet methods, which have been used and refined over the past 20 years, offer significant advantages in simplicity of implementation, with a recent modification based on nearest-neighbour interpolation providing significant improvements in efficiency and accuracy. Moreover this method can be implemented with th
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Jüttner, Matthias, Andreas Pflug, Markus Wick, and Wolfgang M. Rucker. "Experimental evaluation of numerical errors for multi-physics coupling methods using disparate meshes." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 36, no. 5 (2017): 1517–25. http://dx.doi.org/10.1108/compel-02-2017-0072.

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Purpose Multiphysics problems are solved either with monolithic or segregated approaches. For accomplishing contrary discretisation requirements of the physics, disparate meshes are essential. This paper is comparing experimental results of different interpolation methods for a segregated coupling with monolithic approaches, implemented using a global and a local nearest neighbour method. The results show the significant influence of discretisation for multiphysics simulation. Design/methodology/approach Applying disparate meshes to the monolithic as well as the segregated calculation of finit
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Zhang, Mo, Wenjiao Shi, and Ziwei Xu. "Systematic comparison of five machine-learning models in classification and interpolation of soil particle size fractions using different transformed data." Hydrology and Earth System Sciences 24, no. 5 (2020): 2505–26. http://dx.doi.org/10.5194/hess-24-2505-2020.

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Abstract. Soil texture and soil particle size fractions (PSFs) play an increasing role in physical, chemical, and hydrological processes. Many previous studies have used machine-learning and log-ratio transformation methods for soil texture classification and soil PSF interpolation to improve the prediction accuracy. However, few reports have systematically compared their performance with respect to both classification and interpolation. Here, five machine-learning models – K-nearest neighbour (KNN), multilayer perceptron neural network (MLP), random forest (RF), support vector machines (SVM),
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Modiri, M., H. Enayati, and M. Ebrahimikia. "THE ASSESSMENT OF ORTHOPHOTO QUALITY WITH RESPECT TO THE STRUCTURE OF DIGITAL ELEVATION MODEL." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XL-1-W5 (December 11, 2015): 487–92. http://dx.doi.org/10.5194/isprsarchives-xl-1-w5-487-2015.

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Orthophoto is an image which is being corrected geometrically so each object has to be situated on the corrected place consequently. Choosing the best DEM structure with respect to the area topographic is the most challenge which has more important role when dealing with rough surfaces displacements in duration of orthophoto procedures. The Lower DEM resolution makes points density lower and makes the procedure faster but cause to decreasing the product precision in compare to choosing the other one. However if a fine resolution DEM cause to very delicate displacement corrections aside of the
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Milà, Carles, Marvin Ludwig, Edzer Pebesma, Cathryn Tonne, and Hanna Meyer. "Random forests with spatial proxies for environmental modelling: opportunities and pitfalls." Geoscientific Model Development 17, no. 15 (2024): 6007–33. http://dx.doi.org/10.5194/gmd-17-6007-2024.

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Abstract. Spatial proxies, such as coordinates and distance fields, are often added as predictors in random forest (RF) models without any modifications being made to the algorithm to account for residual autocorrelation and improve predictions. However, their suitability under different predictive conditions encountered in environmental applications has not yet been assessed. We investigate (1) the suitability of spatial proxies depending on the modelling objective (interpolation vs. extrapolation), the strength of the residual spatial autocorrelation, and the sampling pattern; (2) which vali
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Keller, V. D. J., M. Tanguy, I. Prosdocimi, et al. "CEH-GEAR: 1 km resolution daily and monthly areal rainfall estimates for the UK for hydrological use." Earth System Science Data Discussions 8, no. 1 (2015): 83–112. http://dx.doi.org/10.5194/essdd-8-83-2015.

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Abstract. The Centre for Ecology & Hydrology – Gridded Estimates of Areal Rainfall (CEH-GEAR) dataset was developed to provide reliable 1 km gridded estimates of daily and monthly rainfall for Great Britain (GB) and Northern Ireland (NI) (together with approximately 3500 km2 of catchment in the Republic of Ireland) from 1890 onwards. The dataset was primarily required to support hydrological modelling. The rainfall estimates are derived from the Met Office collated historical weather observations for the UK which include a national database of raingauge observations. The natural neighb
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Trujillo-Hernández, Gabriel, Dayanna Ortiz-Villaseñor, Julio C. Rodríguez-Quiñonez, et al. "Plantar Load System Analysis Using FSR Sensors and Interpolation Methods." Metrology 4, no. 4 (2024): 566–77. http://dx.doi.org/10.3390/metrology4040035.

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The foot is considered a wonder of biological engineering due to its structure, formed by bones, ligaments, and tendons that collaborate to ensure stability and mobility. A key area often examined by medical professionals in patients with diabetic feet is the plantar surface, due to the risk of ulcer development. If left untreated, these ulcers can lead to severe complications, including amputation of the toe, foot, or even the limb. Interpolation methods are used to find areas with overloads in a system of sensor maps that are based on capacitive, load cells, or force-sensitive resistors (FSR
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Keller, V. D. J., M. Tanguy, I. Prosdocimi, et al. "CEH-GEAR: 1 km resolution daily and monthly areal rainfall estimates for the UK for hydrological and other applications." Earth System Science Data 7, no. 1 (2015): 143–55. http://dx.doi.org/10.5194/essd-7-143-2015.

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Abstract. The Centre for Ecology & Hydrology – Gridded Estimates of Areal Rainfall (CEH-GEAR) data set was developed to provide reliable 1 km gridded estimates of daily and monthly rainfall for Great Britain (GB) and Northern Ireland (NI) (together with approximately 3500 km2 of catchment in the Republic of Ireland) from 1890 onwards. The data set was primarily required to support hydrological modelling. The rainfall estimates are derived from the Met Office collated historical weather observations for the UK which include a national database of rain gauge observations. The natural nei
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47

van de Berg, Willem Jan, Erik van Meijgaard, and Lambertus H. van Ulft. "The added value of high resolution in estimating the surface mass balance in southern Greenland." Cryosphere 14, no. 6 (2020): 1809–27. http://dx.doi.org/10.5194/tc-14-1809-2020.

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Abstract. The polar version of the regional climate model RACMO2, version 2.3p1, is used to study the effect of model resolution on the simulated climate and surface mass balance (SMB) of south Greenland for the current climate (2007–2014). The model data at resolutions of 60, 20, 6.6, and 2.2 km are intercompared and compared to SMB observations using three different data refinement methods: nearest neighbour, bilinear interpolation, and a statistical downscaling method utilising the local dependency of fields on elevation. Furthermore, it is estimated how the errors induced by model resoluti
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Xing, Yue, Qifan Song, and Guang Cheng. "Benefit of Interpolation in Nearest Neighbor Algorithms." SIAM Journal on Mathematics of Data Science 4, no. 2 (2022): 935–56. http://dx.doi.org/10.1137/21m1437457.

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Jiang, Nan, and Luo Wang. "Quantum image scaling using nearest neighbor interpolation." Quantum Information Processing 14, no. 5 (2014): 1559–71. http://dx.doi.org/10.1007/s11128-014-0841-8.

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Li, Panchi, and Xiande Liu. "Bilinear interpolation method for quantum images based on quantum Fourier transform." International Journal of Quantum Information 16, no. 04 (2018): 1850031. http://dx.doi.org/10.1142/s0219749918500314.

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Image scaling is the basic operation that is widely used in classic image processing, including nearest-neighbor interpolation, bilinear interpolation, and bicubic interpolation. In quantum image processing (QIP), the research on image scaling is focused on nearest-neighbor interpolation, while the related research of bilinear interpolation is very rare, and that of bicubic interpolation has not been reported yet. In this study, a new method based on quantum Fourier transform (QFT) is designed for bilinear interpolation of images. Firstly, some basic functional modules are constructed, in whic
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