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Journal articles on the topic 'Task of interpolation'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Md. Mahabub Alam and Md Nuruzzaman. "Comparative analysis of interpolation methods commonly used in bathymetric data generation." World Journal of Advanced Research and Reviews 25, no. 3 (2025): 2018–29. https://doi.org/10.30574/wjarr.2025.25.3.0835.

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This research paper aims to provide a comparative analysis of interpolation methods for estimating bathymetric data. Accurate measurement of bathymetry is crucial for a variety of applications, including navigation, oceanography, and coastal management. However, due to the high cost and difficulty of acquiring bathymetric data, gaps in measurements are common. Interpolation methods are widely used to fill these gaps and estimate the depths of water at unsampled locations. In this study, we analyze the most commonly used interpolation methods, including linear, inverse distance weighting, krigi

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Xing, Jinbo, Wenbo Hu, Yuechen Zhang, and Tien-Tsin Wong. "Flow-aware synthesis: A generic motion model for video frame interpolation." Computational Visual Media 7, no. 3 (2021): 393–405. http://dx.doi.org/10.1007/s41095-021-0208-x.

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AbstractA popular and challenging task in video research, frame interpolation aims to increase the frame rate of video. Most existing methods employ a fixed motion model, e.g., linear, quadratic, or cubic, to estimate the intermediate warping field. However, such fixed motion models cannot well represent the complicated non-linear motions in the real world or rendered animations. Instead, we present an adaptive flow prediction module to better approximate the complex motions in video. Furthermore, interpolating just one intermediate frame between consecutive input frames may be insufficient fo

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Pihajoki, Pauli, Matias Mannerkoski, and Peter H. Johansson. "Barycentric interpolation on Riemannian and semi-Riemannian spaces." Monthly Notices of the Royal Astronomical Society 489, no. 3 (2019): 4161–69. http://dx.doi.org/10.1093/mnras/stz2447.

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ABSTRACT Interpolation of data represented in curvilinear coordinates and possibly having some non-trivial, typically Riemannian or semi-Riemannian geometry is a ubiquitous task in all of physics. In this work, we present a covariant generalization of the barycentric coordinates and the barycentric interpolation method for Riemannian and semi-Riemannian spaces of arbitrary dimension. We show that our new method preserves the linear accuracy property of barycentric interpolation in a coordinate-invariant sense. In addition, we show how the method can be used to interpolate constrained quantitie

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Floquet, J., F. Champagnat, and S. Beneddine. "Physics-Driven PTV Interpolation Through Learned Regularization." Proceedings of the International Symposium on the Application of Laser and Imaging Techniques to Fluid Mechanics 20 (July 11, 2022): 1–16. http://dx.doi.org/10.55037/lxlaser.20th.46.

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This paper deals with spatial interpolation of instantaneous Particle Tracking Velocimetry (PTV) data. Such a task can be handled using generic signal processing tools like B-splines, radial basis functions (RBF) or Kriging. We deal with non time-resolved PTV as gathered by dual frame particle image velocimetry (PIV) systems followed by dual frame PTV algorithms. In such a dual frame context, Physics-based interpolation techniques typically rely on enforcement of divergence free constraints on the interpolated field. The aim of this communication is to explore the wider field of Physics-based

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Malvić, Tomislav, Josip Ivšinović, Josipa Velić, Jasenka Sremac, and Uroš Barudžija. "Application of the Modified Shepard’s Method (MSM): A Case Study with the Interpolation of Neogene Reservoir Variables in Northern Croatia." Stats 3, no. 1 (2020): 68–83. http://dx.doi.org/10.3390/stats3010007.

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Interpolation is a procedure that depends on the spatial and/or statistical properties of the analysed variable(s). It is a particularly challenging task for small datasets, such as in those with less than 20 points of data. This problem is common in subsurface geological mapping, i.e., in cases where the data is taken solely from wells. Successful solutions of such mapping problems depend on interpolation methods designed primarily for small datasets and the datasets themselves. Here, we compare two methods, Inverse Distance Weighting and the Modified Shepard’s Method, and apply them to three

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Niu, Jing Li, Jing Chen, and Dong Hai Chen. "Design of the NC Software of a Micro Mill Based on LabVIEW." Advanced Materials Research 722 (July 2013): 541–44. http://dx.doi.org/10.4028/www.scientific.net/amr.722.541.

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LabVIEW provides a new development platform for the design of NC software for its multi-task parallel and real-time processing. This paper discussed the design of the NC software of a micro mill based on LabVIEW. Six modules of the NC software, composed of such as algorithms of decoder, cutter compensation, interpolation, were analyzed in detail with structured analysis methods. NC codes simulation was carried out using the software. The results showed that it can complete NC functions such as line interpolation, circular interpolation, and cutter compensation.

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He, Fang Yuan. "3D Face Modeling Adjustment Based on Kriging." Applied Mechanics and Materials 329 (June 2013): 488–92. http://dx.doi.org/10.4028/www.scientific.net/amm.329.488.

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3D face modeling has been an important offset of computer graphics. It can be used in many fields. Modeling reality face of a given person is a difficult task because of the complexity of face surface. To improve the modeling results, kriging was used in 3D face modeling adjustment . The general face model is personalized using the space interpolation technology of Kriging. To improve the result of Kriging, the 3D model is smoothed by interpolating once again in a local area near every feature point, and then a better natural result is achieved. The final model is more human and natural.

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Grevera, G. J., J. K. Udupa, and Y. Miki. "A task-specific evaluation of three-dimensional image interpolation techniques." IEEE Transactions on Medical Imaging 18, no. 2 (1999): 137–43. http://dx.doi.org/10.1109/42.759116.

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Ahn, Ha-Eun, Jinwoo Jeong, and Je Woo Kim. "A Fast 4K Video Frame Interpolation Using a Hybrid Task-Based Convolutional Neural Network." Symmetry 11, no. 5 (2019): 619. http://dx.doi.org/10.3390/sym11050619.

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Visual quality and algorithm efficiency are two main interests in video frame interpolation. We propose a hybrid task-based convolutional neural network for fast and accurate frame interpolation of 4K videos. The proposed method synthesizes low-resolution frames, then reconstructs high-resolution frames in a coarse-to-fine fashion. We also propose edge loss, to preserve high-frequency information and make the synthesized frames look sharper. Experimental results show that the proposed method achieves state-of-the-art performance and performs 2.69x faster than the existing methods that are oper

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Zhang, Jiayi, Zhi Cui, Xiaoqiang Xia, et al. "Writing Polishment with Simile: Task, Dataset and A Neural Approach." Proceedings of the AAAI Conference on Artificial Intelligence 35, no. 16 (2021): 14383–92. http://dx.doi.org/10.1609/aaai.v35i16.17691.

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A simile is a figure of speech that directly makes a comparison, showing similarities between two different things, e.g. ``Reading papers can be dull sometimes,like watching grass grow". Human writers often interpolate appropriate similes into proper locations of the plain text to vivify their writings. However, none of existing work has explored neural simile interpolation, including both locating and generation. In this paper, we propose a new task of Writing Polishment with Simile (WPS) to investigate whether machines are able to polish texts with similes as we human do. Accordingly, we des

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Гусятин, В. М., та М. В. Гусятин. "СИНТЕЗ ЗВОРОТНИМ ТРАСУВАННЯМ ЗОБРАЖЕНЬ ВЕКТОРНИХ ТЕКСТУР, СФОРМОВАНИХ МЕТОДОМ СФЕРИЧНОЇ ІНТЕРПОЛЯЦІЇ". Radioelectronic and Computer Systems, № 1 (2 вересня 2016): 29–34. http://dx.doi.org/10.32620/reks.2016.1.04.

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In article questions of increase of realness of the scenes synthesized by method of the reverse tracing are considered. The task of visualization is solved by the reverse tracing of the vectorial textures set by straight lines and smoothed by method of spherical interpolation. Analytical ratios for implementation of each stage of visualization of such vectorial textures are given. Feature of the solution of the task is combination of a method of spherical interpolation and synthesis of the image of a vectorial texture the reverse tracing for one pass. This approach allows us to expand the join

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Makhmudova, Dildora, and Hurshid Makhmudov. "Analysis and assasment method of the Chirchik river flow for water supply and water use." E3S Web of Conferences 264 (2021): 01045. http://dx.doi.org/10.1051/e3sconf/202126401045.

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The scientific work is devoted to studying hydroecological problems and methods for assessing the transformation of river water on the example of the Chirchik River, which flows through large industrial centers of the Republic of Uzbekistan and the territory of its capital, Tashkent. Investigations of quantitative and qualitative transformation of river water runoff were carried out using the interpolation method. The main task is to describe the method of interpolation of hydrometeorological data of the territories; For such system, the center in this work adopted a material point that charac

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Yang, Fei. "Study and Comparison of Image Scaling Algorithms." Applied and Computational Engineering 120, no. 1 (2024): 105–12. https://doi.org/10.54254/2755-2721/2025.18830.

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Image scaling is a fundamental task in digital image processing and computer vision, which involves adjusting the size of an image to fit different display devices or storage needs. In this process, there is a trade-off between processing time and the smoothness and sharpness of the target. The purpose of image scaling algorithms is to solve the display of images on different resolutions. Current image scaling algorithms are not only traditional interpolation algorithms, but also algorithms centered on computer vision and content-aware techniques. This article aims at image scaling, and severa

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Yang, Yilun, Zhou Hao, Weilong Peng, Keke Tang, and Meie Fang. "Multi-task super resolution method for vector field critical points enhancement." Metaverse 3, no. 1 (2022): 8. http://dx.doi.org/10.54517/m.v3i1.2103.

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<p>It is a challenging task to handle the vector field visualization <span style="font-family: 'Times New Roman';">at</span> local critical points. Generally, topological based methods firstly divide critical regions into different categories, and then process the different types of critical regions to improve the effect, which pipeline is complex. In the paper, a learning based multi-task super resolution (SR) method is proposed to improve the refinement of vector field, and enhance the visualization effect, especially at the critical region. In detail, the multi-task model

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Yang, Yilun, Zhou Hao, Weilong Peng, Keke Tang, and Meie Fang. "Multi-task super resolution method for vector field critical points enhancement." Metaverse 3, no. 1 (2022): 8. http://dx.doi.org/10.54517/met.v3i1.2103.

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<p>It is a challenging task to handle the vector field visualization <span style="font-family: 'Times New Roman';">at</span> local critical points. Generally, topological based methods firstly divide critical regions into different categories, and then process the different types of critical regions to improve the effect, which pipeline is complex. In the paper, a learning based multi-task super resolution (SR) method is proposed to improve the refinement of vector field, and enhance the visualization effect, especially at the critical region. In detail, the multi-task model

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Pan, Ming-Zhang, Xiao-Lan Liao, Zhen Li, Ya-Wen Deng, Yuan Chen, and Gui-Bin Bian. "Semi-Supervised Medical Image Segmentation Guided by Bi-Directional Constrained Dual-Task Consistency." Bioengineering 10, no. 2 (2023): 225. http://dx.doi.org/10.3390/bioengineering10020225.

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Background: Medical image processing tasks represented by multi-object segmentation are of great significance for surgical planning, robot-assisted surgery, and surgical safety. However, the exceptionally low contrast among tissues and limited available annotated data makes developing an automatic segmentation algorithm for pelvic CT challenging. Methods: A bi-direction constrained dual-task consistency model named PICT is proposed to improve segmentation quality by leveraging free unlabeled data. First, to learn more unmarked data features, it encourages the model prediction of the interpolat

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S, Selvi, and Saravanan V. "MAPPING AND CLASSIFICATION OF SOIL PROPERTIES FROM TEXT DATASET USING RECURRENT CONVOLUTIONAL NEURAL NETWORK." ICTACT Journal on Soft Computing 11, no. 4 (2021): 2438–3443. http://dx.doi.org/10.21917/ijsc.2021.0348.

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Accurate and effective mapping of soil properties is regarded as a critical task in environmental and agricultural management. The evaluation of properties of soil is a daunting task while monitoring and sensing the environment. Existing sampling methods is a time-consuming and laborious job and they are limited based on the regions. However, the need of soil analysis and its properties is essential at landscape level. In this paper, we use Recurrent Convolution Neural Network (RCNN) to assess the soil properties via its classification task. The model in turn is compared with conventional geos

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Li, Jia, Yanyan Shen, Lei Chen, and Charles Wang Wai Ng. "SSIN: Self-Supervised Learning for Rainfall Spatial Interpolation." Proceedings of the ACM on Management of Data 1, no. 2 (2023): 1–21. http://dx.doi.org/10.1145/3589321.

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The acquisition of accurate rainfall distribution in space is an important task in hydrological analysis and natural disaster pre-warning. However, it is impossible to install rain gauges on every corner. Spatial interpolation is a common way to infer rainfall distribution based on available raingauge data. However, the existing works rely on some unrealistic pre-settings to capture spatial correlations, which limits their performance in real scenarios. To tackle this issue, we propose the SSIN, which is a novel data-driven self-supervised learning framework for rainfall spatial interpolation

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Xia, Ying Jie, Ming Zhe Zhu, and Xing Min Shi. "A Workflow-Serialized Parallel Spatial IDW Interpolation on Windows HPC." Applied Mechanics and Materials 20-23 (January 2010): 370–75. http://dx.doi.org/10.4028/www.scientific.net/amm.20-23.370.

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In order to implement the spatial Inverse Distance Weighting (IDW) interpolation in parallel, we use the quadtree approach to decompose the spatial domain and execute the IDW interpolation on these quads through the parametric tasks on Windows HPC platform. The whole implementation includes the executables of QuadDC, IDW, output gathering and data visualization which should be run serially. Compared with the traditional method to integrate each executable manually, the Job Manager of Windows HPC utilizes multi-task job to serialize all the executables as a workflow. The experiments test two ca

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Melnyk, Igor, Alina Pochynok, and Mykhailo Skrypka. "Comparison of methods for interpolation and extrapolation of boundary trajectories of short-focus electron beams using root-polynomial functions." System research and information technologies, no. 3 (September 28, 2024): 74–92. http://dx.doi.org/10.20535/srit.2308-8893.2024.3.05.

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The article considers and discusses the comparison of interpolation and extrapolation methods of estimation of the boundary trajectory of electron beams propagated in ionized gas. All estimations have been computed using root-polynomial functions to numerically solve a differential-algebraic system of equations that describe the boundary trajectory of the electron beam. By providing analysis, it is shown and proven that in the case of solving a self-connected interpolation-extrapolation task, the average error of the beam radius estimation is generally smaller. This approach was especially eff

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Koopmann, Patrick. "LETHE: Forgetting and Uniform Interpolation for Expressive Description Logics." KI - Künstliche Intelligenz 34, no. 3 (2020): 381–87. http://dx.doi.org/10.1007/s13218-020-00655-w.

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Abstract Uniform interpolation and forgetting describe the task of projecting a given ontology into a user-specified vocabulary, that is, of computing a new ontology that only uses names from a specified set of names, while preserving all logical entailments that can be expressed with those names. This is useful for ontology analysis, ontology reuse and privacy. Lethe is a tool for performing uniform interpolation on ontologies in expressive description logics, and it can be used from the command line, using a graphical interface, and as a Java library. It furthermore implements methods for co

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Pepin, A., S. S. Beauchemin, S. Léger, and N. Beaudoin. "A New Method for High-Degree Spline Interpolation: Proof of Continuity for Piecewise Polynomials." Canadian Mathematical Bulletin 63, no. 3 (2019): 655–69. http://dx.doi.org/10.4153/s0008439519000742.

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AbstractEffective and accurate high-degree spline interpolation is still a challenging task in today’s applications. Higher degree spline interpolation is not so commonly used, because it requires the knowledge of higher order derivatives at the nodes of a function on a given mesh.In this article, our goal is to demonstrate the continuity of the piecewise polynomials and their derivatives at the connecting points, obtained with a method initially developed by Beaudoin (1998, 2003) and Beauchemin (2003). This new method, involving the discrete Fourier transform (DFT/FFT), leads to higher degree

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Zhang, Baowen, Chengzhi Su, and Guohua Cao. "S-FusionNet: A Multi-Modal Semi-Fusion 3D Object Detection Network." Electronics 14, no. 10 (2025): 2008. https://doi.org/10.3390/electronics14102008.

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In the projection-driven multi-modal 3D object detection task, the data projection process has extremely high computational complexity, which restricts the efficiency of the detection network. In addition, traditional projection interpolation methods have certain limitations. To improve the voxel projection efficiency and explore a projection interpolation method that can enhance the detection accuracy, we propose a voxel projection optimized positioning strategy and an independent projection interpolation method—neighborhood-enhanced feature interpolation. Meanwhile, we propose a new 3D objec

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Challu, Cristian, Kin G. Olivares, Boris N. Oreshkin, Federico Garza Ramirez, Max Mergenthaler Canseco, and Artur Dubrawski. "NHITS: Neural Hierarchical Interpolation for Time Series Forecasting." Proceedings of the AAAI Conference on Artificial Intelligence 37, no. 6 (2023): 6989–97. http://dx.doi.org/10.1609/aaai.v37i6.25854.

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Recent progress in neural forecasting accelerated improvements in the performance of large-scale forecasting systems. Yet, long-horizon forecasting remains a very difficult task. Two common challenges afflicting the task are the volatility of the predictions and their computational complexity. We introduce NHITS, a model which addresses both challenges by incorporating novel hierarchical interpolation and multi-rate data sampling techniques. These techniques enable the proposed method to assemble its predictions sequentially, emphasizing components with different frequencies and scales while d

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Brecht, Rüdiger, Lucie Bakels, Alex Bihlo, and Andreas Stohl. "Improving trajectory calculations by FLEXPART 10.4+ using single-image super-resolution." Geoscientific Model Development 16, no. 8 (2023): 2181–92. http://dx.doi.org/10.5194/gmd-16-2181-2023.

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Abstract. Lagrangian trajectory or particle dispersion models as well as semi-Lagrangian advection schemes require meteorological data such as wind, temperature and geopotential at the exact spatiotemporal locations of the particles that move independently from a regular grid. Traditionally, these high-resolution data have been obtained by interpolating the meteorological parameters from the gridded data of a meteorological model or reanalysis, e.g., using linear interpolation in space and time. However, interpolation is a large source of error for these models. Reducing them requires meteorol

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WANG, HONG-YONG, HONG LI, and JIN-YE SHEN. "A NOVEL HYBRID FRACTAL INTERPOLATION-SVM MODEL FOR FORECASTING STOCK PRICE INDEXES." Fractals 27, no. 04 (2019): 1950055. http://dx.doi.org/10.1142/s0218348x19500555.

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Forecasting stock price indexes has been regarded as a challenging task in financial time series analysis. In order to improve the prediction accuracy, a novel hybrid model that integrates fractal interpolation with support vector machine (SVM) models has been developed in this paper to forecast the time series of stock price indexes. For this, a new method to calculate the vertical scaling factors of the fractal interpolation iterated function system is first proposed and an improved fractal interpolation model is then established. The improved fractal interpolation model and the SVM model ar

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Kubas, Malwina, and Grzegorz Sarwas. "FastRIFE: Optimization of Real-Time Intermediate Flow Estimation for Video Frame Interpolation." Journal of WSCG 22, no. 1-2 (2021): 21–28. http://dx.doi.org/10.24132/jwscg.2021.29.3.

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The problem of video inter-frame interpolation is an essential task in the field of image processing. Correctlyincreasing the number of frames in the recording while maintaining smooth movement allows to improve thequality of played video sequence, enables more effective compression and creating a slow-motion recording. Thispaper proposes the FastRIFE algorithm, which is some speed improvement of the RIFE (Real-Time IntermediateFlow Estimation) model. The novel method was examined and compared with other recently published algorithms.All source codes are available at:https://gitlab.com/malwinq

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Kokoshkin, Alexander V., and Evgeny P. Novichikhin. "Evaluation of images quality obtained by remote sensing." Radioelectronics. Nanosystems. Information Technologies. 15, no. 3 (2023): 327–34. http://dx.doi.org/10.17725/rensit.2023.15.327.

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Testing of digital images restoration by methods of sequentially calculated Fourier spectrum interpolation, spline interpolation, projections onto convex sets and amplitude iterations is proposed. The task is a reconstruction of the sparseness modeled according to the randomly uniform law (90 percent of the information is missing). In addition to the well-known image quality estimates, new ones are introduced - a measure of histogram similarity, the rms deviation of the difference in phase spectra. It is shown that the proposed criteria are effective for assessing the quality of images obtaine

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Abid, Sabeur. "Texture defect detection by using polynomial interpolation and multilayer perceptron." Journal of Engineered Fibers and Fabrics 14 (January 2019): 155892501882527. http://dx.doi.org/10.1177/1558925018825272.

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This article deals with fabric defect detection. The quality control in textile manufacturing industry becomes an important task, and the investment in this field is more than economical when reduction in labor cost and associated benefits are considered. This work is developed in collaboration with “PARTNER TEXTILE” company which expressed its need to install automated defect fabric detection system around its circular knitting machines. In this article, we present a new fabric defect detection method based on a polynomial interpolation of the fabric texture. The different image areas with an

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Karimi, Parvaneh, Sergey Fomel, and Rui Zhang. "Creating detailed subsurface models using predictive image-guided well-log interpolation." Interpretation 5, no. 3 (2017): T279—T285. http://dx.doi.org/10.1190/int-2016-0051.1.

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Integration of well-log data and seismic data to predict rock properties is an essential but challenging task in reservoir characterization. The standard methods commonly used to create subsurface model do not fully honor the importance of seismic reflectors and detailed structural information in guiding the spatial distribution of rock properties in the presence of complex structures, which can make these methods inaccurate. To overcome initial model accuracy limitations in structurally complex regimes, we have developed a method that uses the seismic image structures to accurately constrain

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Kim, Seon-Young, Hee-Zin Lee, Seung-Kyu Park, and Sang-Yoon Oh. "Task Balancing Scheme of MPI Gridding for Large-scale LiDAR Data Interpolation." Journal of the Korea Society of Computer and Information 19, no. 9 (2014): 1–10. http://dx.doi.org/10.9708/jksci.2014.19.9.001.

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Bui, Cao Thu, Thuong Tien Le, Tuan Hong Do, and Hoang Duc Nguyen. "A robust combination interpolation method for video super-resolution." Science and Technology Development Journal 16, no. 3 (2013): 41–57. http://dx.doi.org/10.32508/stdj.v16i3.1609.

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This paper presents an efficient method for video super-resolution (SR) based on two main ideals: Firstly, input video frames can be separated into two components, nontexturing image and texturing image. Then each component image is applied to a compatible interpolation method to improve the quality of high-resolution (HR) reconstructed frame. Secondly, based on the approach that border regions of image details are the most lossy information regions from the sampling process. Therefore, a task of compensation interpolation is essential to increase the quality of the reconstructed HR images. Fr

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Rap, Alexandru, Satyajit Ghosh, and Michael H. Smith. "Shepard and Hardy Multiquadric Interpolation Methods for Multicomponent Aerosol–Cloud Parameterization." Journal of the Atmospheric Sciences 66, no. 1 (2009): 105–15. http://dx.doi.org/10.1175/2008jas2626.1.

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Abstract This paper presents a novel method based on the application of interpolation techniques to the multicomponent aerosol–cloud parameterization for global climate modeling. Quantifying the aerosol indirect effect still remains a difficult task, and thus developing parameterizations for general circulation models (GCMs) of the microphysics of clouds and their interactions with aerosols is a major challenge for climate modelers. Three aerosol species are considered in this paper—namely sulfate, sea salt, and biomass smoke—and a detailed microphysical chemical parcel model is used to obtain

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Han, Zhifeng, Jianxin Liao, Qi Qi, Haifeng Sun, and Jingyu Wang. "Radio Environment Map Construction by Kriging Algorithm Based on Mobile Crowd Sensing." Wireless Communications and Mobile Computing 2019 (February 3, 2019): 1–12. http://dx.doi.org/10.1155/2019/4064201.

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In the IoT era, 5G will enable various IoT services such as broadband access everywhere, high user and devices mobility, and connectivity of massive number of devices. Radio environment map (REM) can be applied to improve the utilization of radio resources for the access control of IoT devices by allocating them reasonable wireless spectrum resources. However, the primary problem of constructing REM is how to collect the large scale of data. Mobile crowd sensing (MCS), leveraging the smart devices carried by ordinary people to collect information, is an effective solution for collecting the ra

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Havrylenko, Yevhen, Yuliia Kholodniak, and Illia Tetervak. "METHOD OF INTERPOLATION OF POINT SET FOR THE FORMATION OF SMOOTH CONTOURS." APPLIED GEOMETRY AND ENGINEERING GRAPHICS, no. 107 (February 26, 2025): 54–73. https://doi.org/10.32347/0131-579x.2024.107.54-73.

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The formation of complex functional surfaces given by an array of points is an actual task of geometric modeling. The geometric model of such a surface is formed on the basis of a discrete linear frame, the elements of which are contours consisting of sections of analytically determined curves lines. The paper solves the problem of modeling a smooth contour that represents the original curve with a given accuracy, interpolates the original point series and belongs to the line curve that does not contain special points. The contour is formed inside the area of the possible location of the parts

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Horwitz, Alan L., and Lee A. Rubel. "The space of totally bounded analytic functions." Proceedings of the Edinburgh Mathematical Society 30, no. 2 (1987): 229–46. http://dx.doi.org/10.1017/s0013091500028303.

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This paper is a continuation of our project on “inverse interpolation”, begun in [6]. In brief, the task of inverse interpolation is to deduce some property of a function f from some given property of the set L of its Lagrange interpolants. In the present work, the property of L is that it be a uniformly bounded set of functions when restricted to the domain of f. In particular (see Section 3), when the domain is a disc, we deduce sharp bounds on the successive derivatives of f. As a result, f must extend to be an analytic function (of restricted growth) in the concentric disc of thrice the or

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Djurovic, Igor, та Vladimir V. Lukin. "НИЖНІЙ ПОРІГ ВСШ ПРИ ШВИДКОМУ ОЦІНЮВАННІ КОМПЛЕКСНИХ СИНУСОЇД". Radioelectronic and Computer Systems, № 2 (6 вересня 2019): 20–25. http://dx.doi.org/10.32620/reks.2016.2.03.

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A task of estimation of complex sinusoid frequency is considered. A particular but practically important case of low signal-to-noise ratio (SNR) is studied. The low SNR threshold, commonly overlooked in development of the rapid estimator of complex sinusoidals, is addressed. Signals of different length are considered and SNR is varied in wide limits. It is demonstrated that a simple interpolation with factor 2 lowers the SNR threshold by 1.5dB for the most complicated practical situations. Further interpolation does not bring any improvement. This allows proposing a compromise practical algori

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Hrytsiuk, Yu I., and R. B. Tushnytskyi. "INTERPOLATION OF TABULAR FUNCTIONS FROM ONE INDEPENDENT VARIABLE USING THE TAYLOR POLYNOMIAL." Ukrainian Journal of Information Technology 4, no. 2 (2022): 1–17. http://dx.doi.org/10.23939/ujit2022.02.001.

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A method of local interpolation of tabular functions from one independent variable using the Taylor polynomial of the nth degree in arbitrarily located interpolation nodes has been developed. This makes it possible to calculate intermediate values of tabular functions between interpolation nodes. The conducted analysis of the latest research and publications in the field of interpolation of tabular functions showed that the main part of the research is a strict theory of interpolation, i.e. clarification of its fundamental mathematical provisions. Some features of the interpolation of tabular

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Ning, Xin, Yuhang Li, Ziwei Feng, Jinhua Liu, and Youdong Ding. "An Efficient Multi-Scale Attention Feature Fusion Network for 4K Video Frame Interpolation." Electronics 13, no. 6 (2024): 1037. http://dx.doi.org/10.3390/electronics13061037.

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Video frame interpolation aims to generate intermediate frames in a video to showcase finer details. However, most methods are only trained and tested on low-resolution datasets, lacking research on 4K video frame interpolation problems. This limitation makes it challenging to handle high-frame-rate video processing in real-world scenarios. In this paper, we propose a 4K video dataset at 120 fps, named UHD4K120FPS, which contains large motion. We also propose a novel framework for solving the 4K video frame interpolation task, based on a multi-scale pyramid network structure. We introduce self

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Wilcox, Laurie M., and Philip A. Duke. "Spatial and Temporal Properties of Stereoscopic Surface Interpolation." Perception 34, no. 11 (2005): 1325–38. http://dx.doi.org/10.1068/p5437.

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It is well established that under a wide range of conditions when a sparse collection of texture elements varies smoothly in depth, the spaces between the elements are assigned depth values. This disparity interpolation process has been studied in an effort to define some of its fundamental spatial and temporal constraints. To assess disparity interpolation we employed two tasks: a novel task that relies on the bisection of illusory boundaries created when subjective stereoscopic surfaces intersect, and one that relies on a 3-D shape discrimination. The results of both experiments show that th

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Cheng, Xianhang, and Zhenzhong Chen. "Video Frame Interpolation via Deformable Separable Convolution." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 07 (2020): 10607–14. http://dx.doi.org/10.1609/aaai.v34i07.6634.

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Learning to synthesize non-existing frames from the original consecutive video frames is a challenging task. Recent kernel-based interpolation methods predict pixels with a single convolution process to replace the dependency of optical flow. However, when scene motion is larger than the pre-defined kernel size, these methods yield poor results even though they take thousands of neighboring pixels into account. To solve this problem in this paper, we propose to use deformable separable convolution (DSepConv) to adaptively estimate kernels, offsets and masks to allow the network to obtain infor

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Häufel, G., M. Böge, and D. Bulatov. "DTM CORRECTION IN AREAS OF STEEP SLOPES." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLIII-B2-2020 (August 12, 2020): 233–40. http://dx.doi.org/10.5194/isprs-archives-xliii-b2-2020-233-2020.

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Abstract. Computation of a DTM from a DSM is a well-known and very important task. We derive the DTM by a procedure consisting of ground points extraction, surface interpolation and triangulation by a canonical mesh if the terrain is flat or has only moderate changes in elevation. In regions with steep slopes, such as at riversides, and with man-made 3D structures, such as around bridges, interpolation artifacts and suppression of high-resolution details can lead to coarse errors in local elevations even for the building detection task. The eligible regions must be therefore detected and at le

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Tuzenko, O. A., and S. I. Volodin. "The software for improvement of image quality after enlargement." Reporter of the Priazovskyi State Technical University. Section: Technical sciences, no. 47 (December 28, 2023): 24–32. http://dx.doi.org/10.31498/2225-6733.47.2023.299972.

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In the paper digital images of various formats were investigated. The different vector image formats have different color rendering capabilities. The main task was to achieve a result of refinement of the random low resolution color raster image without quality and resolution loss. The biggest advantage of using specific vector or compressed raster formats is the ability of scaling without quality loss and comparatively small file size. This eases vector images transfer through networks. In the article a specific algorithm of raster images refinement was investigated, particularly the method o

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Hashim, Nur Syahirah, Khairul Nizam Tahar, Wiwin Windupranata, and Saiful Aman Hj Sulaiman. "Coastal Depth Extraction from Satellites Images." Alinteri Journal of Agriculture Sciences 36, no. 1 (2021): 486–99. http://dx.doi.org/10.47059/alinteri/v36i1/ajas21070.

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The problems in bathymetry measurement often have gaps or ‘holes’ within the data. As a result, hydrographic surveyors often have sparse data, and even though the data is dense and equal distances, there is still a gap in time. This paper present coastal depth extraction from satellite images. The problem encountered during the bathymetry derivation process and the problem related to the space, distribution and quantity of the Single-beam echo sounder (SBES) data. Therefore, the idea of using spatial interpolation could be a suitable approach in solving the problems. This study intends to prod

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Lu, Fan, Guang Chen, Sanqing Qu, Zhijun Li, Yinlong Liu, and Alois Knoll. "PointINet: Point Cloud Frame Interpolation Network." Proceedings of the AAAI Conference on Artificial Intelligence 35, no. 3 (2021): 2251–59. http://dx.doi.org/10.1609/aaai.v35i3.16324.

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LiDAR point cloud streams are usually sparse in time dimension, which is limited by hardware performance. Generally, the frame rates of mechanical LiDAR sensors are 10 to 20 Hz, which is much lower than other commonly used sensors like cameras. To overcome the temporal limitations of LiDAR sensors, a novel task named Point Cloud Frame Interpolation is studied in this paper. Given two consecutive point cloud frames, Point Cloud Frame Interpolation aims to generate intermediate frame(s) between them. To achieve that, we propose a novel framework, namely Point Cloud Frame Interpolation Network (P

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Pawnuk, Marcin, Izabela Sówka, and Vincenzo Naddeo. "The Use of Field Olfactometry in the Odor Assessment of a Selected Mechanical–Biological Municipal Waste Treatment Plant within the Boundaries of the Selected Facility—A Case Study." Sustainability 15, no. 9 (2023): 7163. http://dx.doi.org/10.3390/su15097163.

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Odor management plans indicate the need to identify odor sources in waste management facilities. Finding the right tool for this type of task is a key element. This article covers a new approach for odor quantification and source identification at a selected waste management facility by coupling field olfactometry and the spatial interpolation method, such as inverse weighted distance. As the results show, this approach works only partially. Field olfactometry seems to be a suitable tool for odor identification that could be an instrument incorporated into odor management plans as it allowed f

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Zeng, Xinhong, and Yongxiang Wang. "Analysis and Simulation of Polishing Robot Operation Trajectory Planning." Algorithms 18, no. 1 (2025): 53. https://doi.org/10.3390/a18010053.

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Trajectory planning is essential for robotic polishing tasks, as the effectiveness of this planning directly influences the quality of the work and the energy efficiency of the operation. This study introduces an innovative trajectory planning method for robotic polishing tasks, focusing on the development and application of quintic B-spline interpolation. Recognizing the critical impact of trajectory planning on the quality and energy efficiency of robotic operations, we analyze the structure and parameters of the ABB-IRB120 robot within a laboratory setting. Using the Denavit–Hartenberg para

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van Dokkum, Pieter, and Imad Pasha. "A Robust and Simple Method for Filling in Masked Data in Astronomical Images." Publications of the Astronomical Society of the Pacific 136, no. 3 (2024): 034503. http://dx.doi.org/10.1088/1538-3873/ad2866.

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Abstract Astronomical images often have regions with missing or unwanted information, such as bad pixels, bad columns, cosmic rays, masked objects, or residuals from imperfect model subtractions. In certain situations it can be essential, or preferable, to fill in these regions. Most existing methods use low order interpolations for this task. In this paper a method is described that uses the full information that is contained in the pixels just outside masked regions. These edge pixels are extrapolated inwards, using iterative median filtering. This leads to a smoothly varying spatial resolut

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Naghiyeva, A. F., and S. G. Verdiyev. "Reversible steganographic method of hiding information based on image interpolation." Computer Optics 46, no. 3 (2022): 465–72. http://dx.doi.org/10.18287/2412-6179-co-1019.

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When information is exchanged through open communication networks, there is a possibility of third-party interception. Various methods of data protection have been developed and applied to eliminate this flaw. In this work, a task of developing a new reversible steganographic method of concealing information based on interpolation of an image is set and solved. The developed algorithm has a higher payload of secret information while preserving the high visual quality of the stego image. Results of the pilot studies confirm this and are presented in this article.

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Barth, A., A. Alvera-Azcárate, C. Troupin, M. Ouberdous, and J. M. Beckers. "A web interface for griding arbitrarily distributed in situ data based on Data-Interpolating Variational Analysis (DIVA)." Advances in Geosciences 28 (September 27, 2010): 29–37. http://dx.doi.org/10.5194/adgeo-28-29-2010.

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Abstract. Spatial interpolation of observations on a regular grid is a common task in many oceanographic disciplines (and geosciences in general). It is often used to create climatological maps for physical, biological or chemical parameters representing e.g. monthly or seasonally averaged fields. Since instantaneous observations can not be directly related to a field representing an average, simple spatial interpolation of observations is in general not acceptable. DIVA (Data-Interpolating Variational Analysis) is an analysis tool which takes the error in the observations and the typical spat

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