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Data gridding and hypersurface fitting for 3-D data



w = griddata3(x, y, z, v, xi, yi, zi) fits a hypersurface of the form to the data in the (usually) nonuniformly spaced vectors (x, y, z, v). griddata3 interpolates this hypersurface at the points specified by (xi,yi,zi) to produce w. w is the same size as xi, yi, and zi.

(xi,yi,zi) is usually a uniform grid (as produced by meshgrid) and is where griddata3 gets its name.

w = griddata3(x,y,z,v,xi,yi,zi,method) defines the type of surface that is fit to the data, where method is either:

Tesselation-based linear interpolation (default)
Nearest neighbor interpolation

If method is [], the default 'linear' method is used.

w = griddata3(x,y,z,v,xi,yi,zi,method,options) specifies a cell array of strings options to be used in Qhull via delaunayn.

If options is [], the default options are used. If options is {''}, no options are used, not even the default.


The griddata3 methods are based on a Delaunay triangulation of the data that uses Qhull [2]. For information about Qhull, see For copyright information, see

See Also

delaunayn, griddata, griddatan, meshgrid


[1]  Barber, C. B., D.P. Dobkin, and H.T. Huhdanpaa, "The Quickhull Algorithm for Convex Hulls," ACM Transactions on Mathematical Software, Vol. 22, No. 4, Dec. 1996, p. 469-483. Available in PDF format at

[2]  National Science and Technology Research Center for Computation and Visualization of Geometric Structures (The Geometry Center), University of Minnesota. 1993.

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