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. By the end of this class you should be able to: . describe some ways . continuous surfaces . or . spatial fields . are represented in GIS. list and describe the data elements that comprise a . grid data structure . 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. 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. Continuous surfaces or spatial fields representation of geographical information. Grid data structure for representing numerical and categorical data. Map algebra raster calculations . Interpolation . Alex Beutel. Duke University. Joint work with . Pankaj. K. . Agarwal. and Thomas . Mølhave. Light Detection and Ranging. (. LiDAR. ). Planes collect data with lasers. Each point recorded (. x,y,z. Continuous surfaces or spatial fields representation of geographical information. Grid data structure for representing numerical and categorical data. Map algebra raster calculations . Interpolation . for a steep terrain . Kazushi Takemura, . Ishioka. Keiichi, . Shoichi. Shige. Graduate School of Kyoto University. 4th International Workshop on . Nonhydrostatic. Models. Background. Following the rapid growth of computers,. 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. . Greg Beckham. Nawwar. . Problem Statement. Estimating function of more than one independent variable y(x. 1. , x. 2. , …, x. n. ). Complete set of values on a grid or scattered data. Outline. Grid in n-dimensions. 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.. http://en.wikipedia.org/wiki/Bilinear_interpolation. The semi- Lagrangian semi-implicit technique in the ECMWF model by Michail Diamantakis (room 2107; ext. 2402) michail.diamantakis@ecmwf.int What do we want to achieve? We want to build an Okolie. , Prof. . Yinka. . Adekunle. & Dr. . Seun. . Ebiesuwa. . In many areas of science, we are often given a set of discrete values of a function either in the form of a table of values or a set of experimental measurements which actually represent a set of points along a . Gyrokinetic. Particle-to-Grid Interpolation for Multicore Processors. Kamesh. . Madduri. , . Samuel Williams. , . Stephane. . Ethier. , . Leonid . Oliker. , John . Shalf. , Erich . Strohmaier. , Katherine Yelick .