griddata3 (MATLAB Functions)

Data gridding and hypersurface fitting for 3-D data

Syntax

w = griddata3(x,y,z,v,xi,yi,zi)
w = griddata3(x,y,z,v,xi,yi,zi,method)
w = griddata3(x,y,z,v,xi,yi,zi,method,options)

Description

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:

'linear'
Tesselation-based linear interpolation (default)

'nearest'
Nearest neighbor interpolation

`'linear'`	Tesselation-based linear interpolation (default)
`'nearest'`	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.

Algorithm

The griddata3 methods are based on a Delaunay triangulation of the data that uses Qhull [2]. For information about Qhull, see http://www.qhull.org/. For copyright information, see http://www.qhull.org/COPYING.html.

Reference

[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 http://www.acm.org/pubs/citations/journals/toms/1996-22-4/p469-barber.

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

griddata griddatan