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Relevant bibliographies by topics / Surface interpolation

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Academic literature on the topic 'Surface interpolation'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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Journal articles on the topic "Surface interpolation"

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Bedi, S., I. Ali, and N. Quan. "Advanced Interpolation Techniques for N.C. Machines." Journal of Engineering for Industry 115, no. 3 (August 1, 1993): 329–36. http://dx.doi.org/10.1115/1.2901668.

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This paper describes two methods for curve and surface interpolation. The layout of the machine and the implementation of these methods on an N.C. machine are discussed. The requirement for additional computational power to implement these interpolation methods is addressed by a network of computers called transputers. The interface between the controller and the network is described. This network also provides the ability to do interference checking in real time using the subdivision technique. The advantage of this implementation is that it enhances the ability of the conventional controller and avoids problems such as communication errors, jerky motion, gouging, and closed architecture. The method used to determine the accuracy of the interpolator is described and some results are given. Curved surfaces described as a series of B-spline curves can be machined using the curve interpolator, whereas a B-spline surface can be machined with the surface interpolator. Sample surfaces are machined to show the ability of the controller in both the curve interpolation and surface interpolation modes.

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Arana, Daniel, Fabricio dos Santos Prol, Paulo de Oliveira Camargo, and Gabriel do Nascimento Guimarães. "ERRORS MEASUREMENT OF INTERPOLATION METHODS FOR GEOID MODELS: STUDY CASE IN THE BRAZILIAN REGION." Boletim de Ciências Geodésicas 24, no. 1 (March 2018): 44–57. http://dx.doi.org/10.1590/s1982-21702018000100004.

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Abstract: The geoid is an equipotential surface regarded as the altimetric reference for geodetic surveys and it therefore, has several practical applications for engineers. In recent decades the geodetic community has concentrated efforts on the development of highly accurate geoid models through modern techniques. These models are supplied through regular grids which users need to make interpolations. Yet, little information can be obtained regarding the most appropriate interpolation method to extract information from the regular grid of geoidal models. The use of an interpolator that does not represent the geoid surface appropriately can impair the quality of geoid undulations and consequently the height transformation. This work aims to quantify the magnitude of error that comes from a regular mesh of geoid models. The analysis consisted of performing a comparison between the interpolation of the MAPGEO2015 program and three interpolation methods: bilinear, cubic spline and neural networks Radial Basis Function. As a result of the experiments, it was concluded that 2.5 cm of the 18 cm error of the MAPGEO2015 validation is caused by the use of interpolations in the 5'x5' grid.

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Wang, Bolun, Xin Jiang, Guanying Huo, Cheng Su, Dongming Yan, and Zhiming Zheng. "Key-Point Interpolation: A Sparse Data Interpolation Algorithm based on B-splines." Journal of Physics: Conference Series 2068, no. 1 (October 1, 2021): 012010. http://dx.doi.org/10.1088/1742-6596/2068/1/012010.

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Abstract B-splines are widely used in the fields of reverse engineering and computer-aided design, due to their superior properties. Traditional B-spline surface interpolation algorithms usually assume regularity of the data distribution. In this paper, we introduce a novel B-spline surface interpolation algorithm: KPI, which can interpolate sparsely and non-uniformly distributed data points. As a two-stage algorithm, our method generates the dataset out of the sparse data using Kriging, and uses the proposed KPI (Key-Point Interpolation) method to generate the control points. Our algorithm can be extended to higher dimensional data interpolation, such as reconstructing dynamic surfaces. We apply the method to interpolating the temperature of Shanxi Province. The generated dynamic surface accurately interpolates the temperature data provided by the weather stations, and the preserved dynamic characteristics can be useful for meteorology studies.

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Etherington, Thomas R. "Discrete natural neighbour interpolation with uncertainty using cross-validation error-distance fields." PeerJ Computer Science 6 (July 13, 2020): e282. http://dx.doi.org/10.7717/peerj-cs.282.

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Interpolation techniques provide a method to convert point data of a geographic phenomenon into a continuous field estimate of that phenomenon, and have become a fundamental geocomputational technique of spatial and geographical analysts. Natural neighbour interpolation is one method of interpolation that has several useful properties: it is an exact interpolator, it creates a smooth surface free of any discontinuities, it is a local method, is spatially adaptive, requires no statistical assumptions, can be applied to small datasets, and is parameter free. However, as with any interpolation method, there will be uncertainty in how well the interpolated field values reflect actual phenomenon values. Using a method based on natural neighbour distance based rates of error calculated for data points via cross-validation, a cross-validation error-distance field can be produced to associate uncertainty with the interpolation. Virtual geography experiments demonstrate that given an appropriate number of data points and spatial-autocorrelation of the phenomenon being interpolated, the natural neighbour interpolation and cross-validation error-distance fields provide reliable estimates of value and error within the convex hull of the data points. While this method does not replace the need for analysts to use sound judgement in their interpolations, for those researchers for whom natural neighbour interpolation is the best interpolation option the method presented provides a way to assess the uncertainty associated with natural neighbour interpolations.

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Li, Ning, Xianqing Lv, and Jicai Zhang. "Application of Surface Spline Interpolation Method in Parameter Estimation of a PM2.5 Transport Adjoint Model." Mathematical Problems in Engineering 2018 (July 5, 2018): 1–11. http://dx.doi.org/10.1155/2018/6231271.

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A new method for the estimation of initial conditions (ICs) in a PM2.5 transport adjoint model is proposed in this paper. In this method, we construct the field of ICs by interpolating values at independent points using the surface spline interpolation. Compared to the traditionally used linear interpolation, the surface spline interpolation has an advantage for reconstructing continuous smooth surfaces. The method is verified in twin experiments, and the results indicate that this method can produce better inverted ICs and less simulation errors. In practical experiments, simulation results show good agreement with the ground-level observations during the 22nd Asia-Pacific Economic Cooperation summit period, demonstrating that the new method is effective in practical application fields.

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Pentland, Alex P. "Surface Interpolation Networks." Neural Computation 5, no. 3 (May 1993): 430–42. http://dx.doi.org/10.1162/neco.1993.5.3.430.

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Orthogonal wavelets can be used as models for receptive fields in the human visual system. They may also be used to solve spatial interpolation problems formulated either as regularization or 2-D Kalman filtering. The solutions take the form of simple feedback networks, and only a few iterations are required for convergence.

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Xu, Zhiming. "Discrete interpolation surface." Journal of Computer Science and Technology 5, no. 4 (October 1990): 329–32. http://dx.doi.org/10.1007/bf02945285.

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Lounsbery, M., S. Mann, and T. DeRose. "Parametric surface interpolation." IEEE Computer Graphics and Applications 12, no. 5 (September 1992): 45–52. http://dx.doi.org/10.1109/38.156012.

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Sun, W. T., Yong Xian Liu, G. M. Sun, and Y. C. Zhang. "DSP Curve Surface Interpolator Research Based on Open Platform." Applied Mechanics and Materials 10-12 (December 2007): 471–75. http://dx.doi.org/10.4028/www.scientific.net/amm.10-12.471.

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For the improvement of the system real-time capability, the DSP Curve Surface interpolator has been designed to ensure high speed, high precision requirement for the machining of complexity curve surface. The hardware and software has been designed. The changeable feedrate interpolation algorithm of limit curve error has been studied. Furthermore, the algorithm has been applied to the interpolation and has well real-time capability to satisfy the requirement of high capability CNC by experimentation.

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Kiani, M. "Spherical approximating and interpolating moving least squares in geodesy and geophysics: a case study for deriving gravity acceleration at sea surface in the Persian Gulf." Journal of Geodetic Science 10, no. 1 (January 1, 2020): 124–35. http://dx.doi.org/10.1515/jogs-2020-0112.

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Abstract This paper is aimed at introducing the concept of Spherical Interpolating Moving Least Squares to the problems in geodesy and geophysics. Based on two previously known methods, namely Spherical Moving Least Squares and Interpolating Moving Least Squares, a simple theory is formulated for using Spherical Moving Least Squares as an interpolant. As an application, a case study is presented in which gravity accelerations at sea surface in the Persian Gulf are derived, using both the approximation and interpolation mode of the Spherical Moving Least Squares. The roles of the various elements in the methods-weight function, scaling parameter, and the degree of spherical harmonics as the basis functions-are investigated. Then, the results of approximation and interpolation are compared with the field data at sea surface, collected by shipborne gravimetry approach. Finally, the results are compared with another independent interpolation method-spline interpolation. It is shown that in this particular problem, SMLS approximation and SIMLS interpolation present a better accuracy than spherical splines.

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Dissertations / Theses on the topic "Surface interpolation"

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Asaturyan, Souren. "Shape preserving surface interpolation schemes." Thesis, University of Dundee, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.278368.

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Bejancu, Aurelian. "Convergence properties of surface spline interpolation." Thesis, University of Cambridge, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621711.

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Leung, Nim Keung. "Convexity-Preserving Scattered Data Interpolation." Thesis, University of North Texas, 1995. https://digital.library.unt.edu/ark:/67531/metadc277609/.

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Surface fitting methods play an important role in many scientific fields as well as in computer aided geometric design. The problem treated here is that of constructing a smooth surface that interpolates data values associated with scattered nodes in the plane. The data is said to be convex if there exists a convex interpolant. The problem of convexity-preserving interpolation is to determine if the data is convex, and construct a convex interpolant if it exists.

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Al-Tahir, Raid A. "Interpolation and analysis in hierarchical surface reconstruction /." The Ohio State University, 1995. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487862972135505.

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Dickens, Nicholas A. "Smooth curve interpolation and surface construction in CAD." Thesis, Loughborough University, 1986. https://dspace.lboro.ac.uk/2134/32397.

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The widespread adoption of CAD in recent years has highlighted problems in both curve and surface representation. There is a need for algorithms to reduce the amount of data input, and for fuller understanding of the underlying mathematics. This thesis falls naturally into two parts; dealing respectively with automatic smooth curve interpolation and surface construction.

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Bergsjö, Joline. "Photogrammetric point cloud generation and surface interpolation for change detection." Thesis, KTH, Geodesi och satellitpositionering, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-190882.

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In recent years the science revolving image matching algorithms has gotten an upswing mostly due to its benefits in computer vision. This has led to new opportunities for photogrammetric methods to compete with LiDAR data when it comes to 3D-point clouds and generating surface models. In Sweden a project to create a high resolution national height model started in 2009 and today almost the entirety of Sweden has been scanned with LiDAR sensors. The objective for this project is to achieve a height model with high spatial resolution and high accuracy in height. As for today no update of this model is planned in the project so it’s up to each municipality or company who needs a recent height model to update themselves. This thesis aims to investigate the benefits and shortcomings of using photogrammetric measures for generating and updating surface models. Two image matching software are used, ERDAS photogrammetry and Spacemetric Keystone, to generate a 3D point cloud of a rural area in Botkyrka municipality. The point clouds are interpolated into surface models using different interpolation percentiles and different resolutions. The photogrammetric point clouds are evaluated on how well they fit a reference point cloud, the surfaces are evaluated on how they are affected by the different interpolation percentiles and image resolutions. An analysis to see if the accuracy improves when the point cloud is interpolated into a surface. The result shows that photogrammetric point clouds follows the profile of the ground well but contains a lot of noise in the forest covered areas. A lower image resolution improves the accuracy for the forest feature in the surfaces. The results also show that noise-reduction is essential to generate a surface with decent accuracy. Furthermore, the results identify problem areas in dry deciduous forest where the photogrammetric method fails to capture the forest.

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Flanagin, Maik. "The Hydraulic Spline: Comparisons of Existing Surface Modeling Techniques and Development of a Spline-Based Approach for Hydrographic and Topographic Surface Modeling." ScholarWorks@UNO, 2007. http://scholarworks.uno.edu/td/613.

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Creation of accurate and coherent surface models is vital to the effective planning and construction of flood control and hurricane protection projects. Typically, topographic surface models are synthesized from Delaunay triangulations or interpolated raster grids. Although these techniques are adequate in most general situations, they do not effectively address the specific case where topographic data is available only as cross-section and profile centerline data, such as the elevation sampling produced by traditional hydrographic surveys. The hydraulic spline algorithm was developed to generate irregular two-dimensional channel grids from hydrographic cross-sections at any desired resolution. Hydraulic spline output grids can be easily merged with datasets of higher resolution, such as LIDAR data, to build a complete model of channel geometry and overbank topography. In testing, the hydraulic spline algorithm faithfully reproduces elevations of known input cross-section points where they exist, while generating a smooth transition between known cross-sections. The algorithm performs particularly well compared to traditional techniques with respect to aesthetics and accuracy when input data is sparse. These qualities make the hydraulic spline an ideal choice for practical applications where available data may be limited due to historic or budgetary reasons.

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Zhu, Lei. "On Visualizing Branched Surface: an Angle/Area Preserving Approach." Diss., Available online, Georgia Institute of Technology, 2004, 2004. http://etd.gatech.edu/theses/available/etd-09142004-114941/.

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Thesis (Ph. D.)--Biomedical Engineering, Georgia Institute of Technology, 2006.
Anthony J. Yezzi, Committee Member ; James Gruden, Committee Member ; Allen Tannenbaum, Committee Chair ; May D. Wang, Committee Member ; Oskar Skrinjar, Committee Member. Vita. Includes bibliographical references.

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Lai, Shuhua. "Subdivision Surface based One-Piece Representation." UKnowledge, 2006. http://uknowledge.uky.edu/gradschool_diss/330.

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Subdivision surfaces are capable of modeling and representing complex shapes of arbi-trary topology. However, methods on how to build the control mesh of a complex surfaceare not studied much. Currently, most meshes of complicated objects come from trian-gulation and simplification of raster scanned data points, like the Stanford 3D ScanningRepository. This approach is costly and leads to very dense meshes.Subdivision surface based one-piece representation means to represent the final objectin a design process with only one subdivision surface, no matter how complicated theobject's topology or shape. Hence the number of parts in the final representation isalways one.In this dissertation we present necessary mathematical theories and geometric algo-rithms to support subdivision surface based one-piece representation. First, an explicitparametrization method is presented for exact evaluation of Catmull-Clark subdivisionsurfaces. Based on it, two approaches are proposed for constructing the one-piece rep-resentation of a given object with arbitrary topology. One approach is to construct theone-piece representation by using the interpolation technique. Interpolation is a naturalway to build models, but the fairness of the interpolating surface is a big concern inprevious methods. With similarity based interpolation technique, we can obtain bet-ter modeling results with less undesired artifacts and undulations. Another approachis through performing Boolean operations. Up to this point, accurate Boolean oper-ations over subdivision surfaces are not approached yet in the literature. We presenta robust and error controllable Boolean operation method which results in a one-piecerepresentation. Because one-piece representations resulting from the above two methodsare usually dense, error controllable simplification of one-piece representations is needed.Two methods are presented for this purpose: adaptive tessellation and multiresolutionanalysis. Both methods can significantly reduce the complexity of a one-piece represen-tation and while having accurate error estimation.A system that performs subdivision surface based one-piece representation was im-plemented and a lot of examples have been tested. All the examples show that our ap-proaches can obtain very good subdivision based one-piece representation results. Eventhough our methods are based on Catmull-Clark subdivision scheme, we believe they canbe adapted to other subdivision schemes as well with small modifications.

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Langton, Michael Keith. "Radial Basis Functions Applied to Integral Interpolation, Piecewise Surface Reconstruction and Animation Control." Thesis, University of Canterbury. Mathematics and Statistics, 2009. http://hdl.handle.net/10092/4078.

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This thesis describes theory and algorithms for use with Radial Basis Functions (RBFs), emphasising techniques motivated by three particular application areas. In Part I, we apply RBFs to the problem of interpolating to integral data. While the potential of using RBFs for this purpose has been established in an abstract theoretical context, their use has been lacking an easy to check sufficient condition for finding appropriate parent basic functions, and explicit methods for deriving integral basic functions from them. We present both these components here, as well as explicit formulations for line segments in two dimensions and balls in three and five dimensions. We also apply these results to real-world track data. In Part II, we apply Hermite and pointwise RBFs to the problem of surface reconstruction. RBFs are used for this purpose by representing the surface implicitly as the zero level set of a function in 3D space. We develop a multilevel piecewise technique based on scattered spherical subdomains, which requires the creation of algorithms for constructing sphere coverings with desirable properties and for blending smoothly between levels. The surface reconstruction method we develop scales very well to large datasets and is very amenable to parallelisation, while retaining global-approximation-like features such as hole filling. Our serial implementation can build an implicit surface representation which interpolates at over 42 million points in around 45 minutes. In Part III, we apply RBFs to the problem of animation control in the area of motion synthesis---controlling an animated character whose motion is entirely the result of simulated physics. While the simulation is quite well understood, controlling the character by means of forces produced by virtual actuators or muscles remains a very difficult challenge. Here, we investigate the possibility of speeding up the optimisation process underlying most animation control methods by approximating the physics simulator with RBFs.

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Books on the topic "Surface interpolation"

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Kȩstutis, S̆alkauskas, ed. Curve and surface fitting: An introduction. London: Academic Press, 1986.

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Lancaster, Peter. Curve and surface fitting: An introduction. London: Academic Press, 1986.

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D'Agnese, Frank A. An estimated potentiometric surface of the Death Valley region, Nevada and California, developed using Geographic Information System and automated interpolation techniques. Denver, Colo: U.S. Dept. of the Interior, U.S. Geological Survey, 1998.

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McLeod, Robin J. Y. Geometry and interpolation of curves and surfaces. Cambridge, [Eng.]: Cambridge University Press, 1998.

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Schiess, James R. Two algorithms for rational spline interpolation of surfaces. [Washington, D.C.]: National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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Ye, Xiuzi. Construction and verification of smooth free-form surfaces generated by compatible interpolation of arbitrary meshes. Berlin: Verlag Köster, 1994.

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Dickens, N. A. Smooth curve interpolation and surface construction in CAD. 1986.

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CURVE and SURFACE FITTING with MATLAB. INTERPOLATION, SMOOTHING and SPLINE FITTING. Independently Published, 2019.

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National Aeronautics and Space Administration (NASA) Staff. Elastic-Plastic J-Integral Solutions or Surface Cracks in Tension Using an Interpolation Methodology. Independently Published, 2019.

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Baart, M. Louisa, and Robin J. Y. McLeod. Geometry and Interpolation of Curves and Surfaces. Cambridge University Press, 2011.

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Book chapters on the topic "Surface interpolation"

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Pentland, Alex P. "Surface interpolation using wavelets." In Computer Vision — ECCV'92, 615–19. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/3-540-55426-2_65.

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Levin, David. "Mesh-Independent Surface Interpolation." In Geometric Modeling for Scientific Visualization, 37–49. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-07443-5_3.

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Müller, Heinrich, and Arnold Klingert. "Surface Interpolation from Cross Sections." In Computer Graphics: Systems and Applications, 139–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-77165-1_7.

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Mencl, Robert, and Heinrich Müller. "Surface Interpolation by Spatial Environment Graphs." In Data Visualization, 377–88. Boston, MA: Springer US, 2003. http://dx.doi.org/10.1007/978-1-4615-1177-9_26.

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Chiyokura, Hiroaki. "Localized Surface Interpolation Method for Irregular Meshes." In Advanced Computer Graphics, 3–19. Tokyo: Springer Japan, 1986. http://dx.doi.org/10.1007/978-4-431-68036-9_1.

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Jones, Alan K. "Chapter 9: Topological Considerations in the Interpolation of Contour Curves." In Topics in Surface Modeling, 169–85. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1992. http://dx.doi.org/10.1137/1.9781611971644.ch9.

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Ueda, Kenji. "Smooth Surface Interpolation with Bézier Surfaces Having Rational Bézier Points." In Modeling in Computer Graphics, 289–308. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-78114-8_18.

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Draman, Nur Nabilah Che, Samsul Ariffin Abdul Karim, and Ishak Hashim. "C1 Surface Interpolation Using Quartic Rational Triangular Patches." In Advanced Methods for Processing and Visualizing the Renewable Energy, 89–99. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-8606-4_6.

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Hoschek, Josef, and Erich Hartmann. "Chapter 3: Functional Splines for Interpolation, Approximation, and Blending of Curves, Surfaces, and Solids." In Topics in Surface Modeling, 53–76. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1992. http://dx.doi.org/10.1137/1.9781611971644.ch3.

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Karim, Samsul Ariffin Abdul, Lila Iznita Izhar, Mahmod Othman, and Nooraini Zainuddin. "Surface Interpolation Using Partially Blended Rational Bi-Quartic Spline." In Theoretical, Modelling and Numerical Simulations Toward Industry 4.0, 53–70. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-8987-4_4.

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Conference papers on the topic "Surface interpolation"

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Adhikary, N., and B. Gurumoorthy. "Smooth Surface Interpolation With Multiple Patches." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8555.

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Abstract This paper addresses the problem of interpolating point data with multiple patches. The specific issue addressed in this paper is the continuity between the patches used for interpolation. The procedure described in this paper maintains continuity by introducing an intermediate patch between the two patches used for interpolating the point data. This patch is formed by several Bezier patches that maintain continuity with the corresponding Bezier patches obtained by repeated knot insertion in the two interpolating patches. The blending Bezier patches are then converted to a blending B-spline patch by knot removal. It is shown that C1 continuity is obtained across the junction between each interpolating patch and the blending patch. The continuity, across each blending patch and the interpolation performance in the blending patch is also discussed. The paper presents results, of implementation on some typical surfaces.

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Chen, Chih-Hsin. "A Surface Interpolation Scheme Based on the Theory of Conjugate Surfaces." In ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium collocated with the ASME 1994 Design Technical Conferences. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/cie1994-0455.

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Abstract A surface interpolation scheme is described for interpolating an array of knot points and normals. The scheme is based on the generation of interpolation surface patches by envelopment of a moving base plane which is fixed in the end effector of a robot of two revolute pairs and one prismatic pair. The initial values, the control values, and the interpolation functions of the robot motion are discussed. The equations for determining the geometrical values of an interpolation point are derived with the aid of the theory of conjugate surfaces, and are arranged in order of the corresponding algorithm. The continuity between neighboring interpolation surface patches is proved to be C1.5. The feasibility of improving the continuity by adjusting the control values of the robot motion is investigated.

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"SURFACE-SURFACE INTERSECTION BY HERMITE INTERPOLATION." In International Conference on Computer Graphics Theory and Applications. SciTePress - Science and and Technology Publications, 2008. http://dx.doi.org/10.5220/0001095100230030.

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Brenna, Trond. "Fault constrained surface interpolation." In SEG Technical Program Expanded Abstracts 2017. Society of Exploration Geophysicists, 2017. http://dx.doi.org/10.1190/segam2017-17726200.1.

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Boufama, Boubakeur, Houman Rastgar, and Saida Bouakaz. "Efficient Surface Interpolation with Occlusion Detection." In 9th Joint Conference on Information Sciences. Paris, France: Atlantis Press, 2006. http://dx.doi.org/10.2991/jcis.2006.269.

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Neto, D. M., M. C. Oliveira, J. L. Alves, L. F. Menezes, F. Barlat, Y. H. Moon, and M. G. Lee. "Local Interpolation for Tools Surface Description." In NUMIFORM 2010: Proceedings of the 10th International Conference on Numerical Methods in Industrial Forming Processes Dedicated to Professor O. C. Zienkiewicz (1921–2009). AIP, 2010. http://dx.doi.org/10.1063/1.3457593.

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Fisher, John, John Lowther, and Ching-Kuang Shene. "Curve and surface interpolation and approximation." In the 9th annual SIGCSE conference. New York, New York, USA: ACM Press, 2004. http://dx.doi.org/10.1145/1007996.1008036.

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Kang Yang, Yan-ming Chen, and Man-chun Li. "Accumulated similarity surface for spatial interpolation." In 2012 20th International Conference on Geoinformatics. IEEE, 2012. http://dx.doi.org/10.1109/geoinformatics.2012.6270262.

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Pentland, Alex P. "Closed-form surface interpolation and regularization." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.me4.

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Regularization and related approaches to integrating and interpolating visual information may be formulated as special cases of the finite-element method (FEM), which is the standard engineering tool for dynamic analysis. By using the more general FEM formulation, I show that many of the surface-analysis problems that occur in vision have closed-form solutions. These solutions are obtained by posing the problem in terms of the eigenvectors (free-vibration modes) of the system of equations, which together form a unique, multiscale orthonormal basis set.

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Zhang, Ling, Caiming Zhang, Yuanfeng Zhou, and Xuemei Li. "Surface Interpolation to Image with Edge Preserving." In 2014 22nd International Conference on Pattern Recognition (ICPR). IEEE, 2014. http://dx.doi.org/10.1109/icpr.2014.191.

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Reports on the topic "Surface interpolation"

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Osadchyi, Volodymyr, Olesya Zavaliy, Liudmyla Palamarchuk, Oleg Skrynyk, Valeriy Osypov, Dmytro Oshurok, and Vladyslav Sidenko. Ukrainian gridded monthly air temperature (min, max, mean) and atmospheric precipitation data (1946-2020). Ukrainian Hydrometeorological Institute (UHMI), July 2022. http://dx.doi.org/10.15407/uhmi.report.02.

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Abstract:

The dataset contains long gridded time series of monthly minimum, maximum and mean air temperature and atmospheric precipitation for Ukraine, covering the period of 1946-2020. The dataset was built through the thorough historical climate data processing, which included all mandatory steps: data rescue/digitization of missing values and/or periods in station time series from paper sources, their quality control and homogenization, and interpolation on 0.1x0.1 grid. The station data comprised monthly values of 178 stations for air temperature (for each of three parameters) and 224 stations for atmospheric precipitation. The quality assurance and homogenization were performed by means of the widely used homogenization software HOMER (HOMogEnization in R), while the well-known interpolation software MISH (Meteorological Interpolation based on Surface Homogenized data basis) was used to perform the gridding.

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2

D`Agnese, F. A., C. C. Faunt, and A. K. Turner. An estimated potentiometric surface of the Death Valley region, Nevada and California, developed using geographic information system and automated interpolation techniques. Office of Scientific and Technical Information (OSTI), July 1998. http://dx.doi.org/10.2172/663394.

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3

An estimated potentiometric surface of the Death Valley region, Nevada and California, developed using Geographic Information System and automated interpolation techniques. US Geological Survey, 1998. http://dx.doi.org/10.3133/wri974052.

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