lets you define the points in terms of X, Y / X, Y, Z coordinates. corresponding values V, where the points have no Add additional point locations and values to the existing interpolant. grid using the grid vectors xg and yg. This example shows how to interpolate two different samplings of the same parabolic function. Interpolate 2-D or 3-D scattered data - MATLAB - MathWorks The scatteredInterpolant class described in Interpolating Scattered Data Using the scatteredInterpolant Class is reside. The sample data is assumed to respect this property in order to produce a satisfactory interpolation. Accelerating the pace of engineering and science. page for more information about the syntaxes you can use to create I tried to do interp3 having done previously meshgrid, but it does not work because of the size of the table. To understand why the interpolating surface deteriorates near the boundary, it is helpful to look at the underlying triangulation: The triangles within the red boundaries are relatively well shaped; they are constructed from points that are in close proximity and the interpolation works well in this region. You can represent the same F than it is to create a new The data set consists of a set of longitude (x) and latitude (y) locations, and corresponding seamount elevations (z) measured at those coordinates. The size of the matrix is Vq = F(Xq,Yq) and Vq = F(Xq,Yq,Zq) scatteredInterpolant merges There are variations on how you can apply this approach. In 3-D, visual inspection of the triangulation gets a bit trickier, but looking at the point distribution can often help illustrate potential problems. supports scattered data interpolation in 2-D and 3-D space. convex hull of Points return optimize the performance in this setting. F = scatteredInterpolant(___,Method,ExtrapolationMethod) These methods and their variants are covered in texts and references on scattered data interpolation. Reevaluate and plot the interpolant as before. uses a Delaunay triangulation of the data, so can be sensitive to scaling issues Evaluate the refined interpolant and plot the result. to remove the NaN values as this data cannot contribute is called. can also be removed and moved efficiently, provided the number of Evaluate the interpolant and plot the result. coordinates of a query point. Change the interpolant sample values and reevaluate the interpolant at the same point. scatteredInterpolant displays a warning and The points in each dimension are in the range, [-10, 10]. https://jp.mathworks.com/matlabcentral/answers/1953289-how-can-i-3d-interpolate-a-function-f-r-3-r-3, https://jp.mathworks.com/matlabcentral/answers/1953289-how-can-i-3d-interpolate-a-function-f-r-3-r-3#answer_1223769, https://jp.mathworks.com/matlabcentral/answers/1953289-how-can-i-3d-interpolate-a-function-f-r-3-r-3#comment_2726589, https://jp.mathworks.com/matlabcentral/answers/1953289-how-can-i-3d-interpolate-a-function-f-r-3-r-3#answer_1223569, https://jp.mathworks.com/matlabcentral/answers/1953289-how-can-i-3d-interpolate-a-function-f-r-3-r-3#comment_2726584. y) or (x, y, v. F = scatteredInterpolant(___,Method) This section provides you with some guidelines to identify This creates a coarser surface when you evaluate and plot: This example shows how to interpolate scattered data when the value at each sample location is complex. points. F at many different sets of query points than it is to This method Evaluate the refined interpolant and plot the result. coordinates of a sample point. As long as the mapping is a 3d mapping, scatteredInterpolant is your best choice. Values or Method, the underlying Vectors x and y specify The values it returns for query points outside *exp(-x.^2-y.^2)', 'Interpolation of v = x. duplicates prior to creating and editing the interpolant. 'linear' or Method as the last input argument in any of the first
