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Unformatted text preview: CE 3101 Fall 2011 Homework 07 – Multiquadric Interpolation and Contour Maps using MATLAB Due Thursday, 27 October 2011, 11:55 P.M. This is an INDIVIDUAL assignment. Abstract You will write a MATLAB function to create a regular grid of values from irregularly-spaced, two-dimensional, data using the Multiquadric Interpolation algorithm. Your function will integrate with a driver and output function, which will be provided by the course instructor. This is an INDIVIDUAL assignment. You may work together, compare answers, swap ideas, share code fragments via Moodle, and help each other out – but every individual must make their own complete submission. A brief letter report is required in addition to your properly-functioning, well-documented, code. Techni- cal competence, numerical accuracy, neatness, organization, and clarity of presentation will all be considered in evaluating your work. Specifically, the internal documentation, and overall readability of your code, will be a significant component of the grade. Evaluation and the Time Card After completing this assignment you are each required to INDIVIDUALLY complete the Homework 07 Evaluation , found on the course Moodle web site. Your evaluation activity must be completed by 6:00 P.M., Friday, 28 October 2011, or you risk the imposition of an egregious penalty. 1 Introduction The ability to interpolate data in two dimensions is a valuable skill in all sub-disciplines of civil engineering 1 . You will all do this in hydrology (and many other classes, in addition to your future professional practice) when you interpolated rainfall from a discrete set of rain gages. This is equivalent to interpolating a map of soil strengths from discrete borings at the wind farm in southern Minnesota, or air quality from set of discrete monitoring stations in Calcutta, or groundwater contamination using chemical assays from discrete wells in Woodbury. In general, measurements are taken at discrete locations, but as engineers we are interested in a continuous map – so we must interpolate. MATLAB has a marvelous facility for drawing regular grids of values 2 , but it is up to us to generate the regular grids when we have irregularly spaced data. 2 Problem Write a function, called multiquadric , that generates a regular, axis-aligned, 2D grid of interpolated values from a set of irregularly space data using Multiquadric Interpolation . The detailed requirements are given in the following sections 3 ....
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This note was uploaded on 02/15/2012 for the course CIVIL 3101 taught by Professor Barnes during the Spring '11 term at Minnesota.
- Spring '11