PPT-3.6 Interpolation on a Grid in

Multidimensions Yunfei duan Hui Pan Bilinear interpolation The concept of linear interpolation between two points can be extended to bilinear interpolation within the grid cell httpenwikipediaorgwikiBilinearinterpolation. Interpolation,Extrapolation&PolynomialApproximation Introduction Inmanycasesweknowthevaluesofafunctionf(x)atasetofpointsx1,x2,...,xN,butwedon'thavetheanalyticexpressionofthefunctionthatletsuscalculate Chapter 15. Above: GPS time series from southern California after removing several curve fits to the data. Curve Fitting in Earth Sciences. Fitting curves to data is very common in Earth sciences. Has applications in virtually all subdiscipline. Resampling. ASTR 3010. Lecture . 21. Textbook 9.4. from Tom . McGlynn’s. IPAM Workshop presentation. Why do we need to resample?. Display – transform image into ‘standard’ form. Undo warps and distortions. (TKK-2144). 13/14 . Semester 1. Instructor: Rama . Oktavian. Email: rama.oktavian@ub.ac.id. Office Hr.: M.13-15, W. 13-15 Th. 13-15,. F. 13-15. Outlines. . 1. . Interpolation: Basic Theory. . 2. . Stephanie Young, . syoung3@math.umd.edu. Kayo Ide, . Ide@umd.edu. Atmospheric and Oceanic Science Department. Center for Scientific Computing and Mathematical Modeling. Applied Mathematics, Statistics and Scientific Computing Program. Ji. ří. . Kadlec. . – Aalto University, Finland. . Pavel. . Treml. – Masaryk Water Research Institute and Charles University, Czech Republic. 20. .9.2013 FOSS4G. Conference. . - Nottingham. 7 - . 2. Outline. Discrete-to-continuous conversion. Interpolation. Pulse shapes. Rectangular. Triangular. Sinc . Raised cosine. Sampling and interpolation demonstration. Conclusion. 7 - . 3. Data Conversion. Continuous surfaces or spatial fields representation of geographical information. Grid data structure for representing numerical and categorical data. Map algebra raster calculations . Interpolation . Continuous surfaces or spatial fields representation of geographical information. Grid data structure for representing numerical and categorical data. Map algebra raster calculations . Interpolation . CS5670: Computer Vision. Noah Snavely. Image Scaling. This image is too big to fit on the screen. How can we generate a half-sized version?. Source: S. . Seitz. Image sub-sampling. Throw away every other row and column to create a . Multidimensional Scaling. Seung-Hee. . Bae. , Judy . Qiu. , and Geoffrey C. Fox. School of Informatics and Computing. Pervasive Technology Institute. Indiana University. Outline. Data Visualization. Hui. Pan, . Yunfei. . Duan. possible problem in physical measurement . Sometimes know the value of a function f(x) at a set of points, but we don’t have an analytic expression for f(x) that lets us calculate its value at an arbitrary point. . Gyrokinetic. Particle-to-Grid Interpolation for Multicore Processors. Kamesh. . Madduri. , . Samuel Williams. , . Stephane. . Ethier. , . Leonid . Oliker. , John . Shalf. , Erich . Strohmaier. , Katherine Yelick . INTerpolation. and . Abstract . interpretation. Arie. . Gurfinkel. (SEI/CMU). with . Aws. . Albarghouthi. and Marsha . Chechik. (U. of Toronto). and . Sagar. . Chaki. (SEI/CMU), and Yi Li (U. of Toronto).