Mercurial > hg > octave-nkf
diff scripts/geometry/griddata.m @ 6826:8618f29520c6
[project @ 2007-08-24 16:02:07 by jwe]
author | jwe |
---|---|
date | Fri, 24 Aug 2007 16:02:07 +0000 |
parents | 9fddcc586065 |
children | 93c65f2a5668 |
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--- a/scripts/geometry/griddata.m +++ b/scripts/geometry/griddata.m @@ -26,8 +26,8 @@ ## The interpolation points are all @code{(@var{xi}, @var{yi})}. If ## @var{xi}, @var{yi} are vectors then they are made into a 2D mesh. ## -## The interpolation method can be 'nearest', 'cubic' or 'linear'. -## If method is omitted it defaults to 'linear'. +## The interpolation method can be @code{"nearest"}, @code{"cubic"} or +## @code{"linear"}. If method is omitted it defaults to @code{"linear"}. ## @seealso{delaunay} ## @end deftypefn @@ -36,64 +36,72 @@ ## xi and yi are not "meshgridded" if both are vectors ## of the same size (for compatibility) -function [rx, ry, rz] = griddata (x,y,z,xi,yi,method) +function [rx, ry, rz] = griddata (x, y, z, xi, yi, method) if (nargin == 5) - method="linear"; + method = "linear"; endif if (nargin < 5 || nargin > 7) - print_usage(); + print_usage (); endif - if (ischar(method)) - method=tolower(method); + if (ischar (method)) + method = tolower (method); endif - if (!all( (size(x)==size(y)) & (size(x)==size(z)))) - error("griddata: x,y,z must be vectors of same length"); + if (! all (size (x) == size (y) & size (x) == size (z))) + error ("griddata: x, y, and z must be vectors of same length"); endif ## meshgrid xi and yi if they are vectors unless they ## are vectors of the same length - if (isvector(xi) && isvector(yi) && numel(xi) ~= numel(yi)) - [xi,yi]=meshgrid(xi,yi); + if (isvector (xi) && isvector (yi) && numel (xi) != numel (yi)) + [xi, yi] = meshgrid (xi, yi); endif - if (any(size(xi) != size(yi))) - error("griddata: xi and yi must be vectors or matrices of same size"); + if (any (size (xi) != size (yi))) + error ("griddata: xi and yi must be vectors or matrices of same size"); endif - [nr,nc] = size(xi); + [nr, nc] = size (xi); ## triangulate data - tri = delaunay(x,y); - zi = nan(size(xi)); + tri = delaunay (x, y); + zi = nan (size (xi)); - if strcmp(method,"cubic") - error("griddata(...,'cubic') cubic interpolation not yet implemented\n") + if (strcmp (method, "cubic")) + error ("griddata: cubic interpolation not yet implemented") - elseif strcmp(method,'nearest') + elseif (strcmp (method, "nearest")) ## search index of nearest point - idx = dsearch(x,y,tri,xi,yi); - valid = !isnan(idx); + idx = dsearch (x, y, tri, xi, yi); + valid = !isnan (idx); zi(valid) = z(idx(valid)); - elseif strcmp(method,'linear') + elseif (strcmp (method, "linear")) ## search for every point the enclosing triangle - tri_list= tsearch(x,y,tri,xi(:),yi(:)); + tri_list= tsearch (x, y, tri, xi(:), yi(:)); ## only keep the points within triangles. - valid = !isnan(reshape(tri_list,size(xi))); - tri_list = tri_list(!isnan(tri_list)); - nr_t = rows(tri_list); + valid = !isnan (reshape (tri_list, size (xi))); + tri_list = tri_list(!isnan (tri_list)); + nr_t = rows (tri_list); ## assign x,y,z for each point of triangle - x1 = x(tri(tri_list,1));y1=y(tri(tri_list,1));z1=z(tri(tri_list,1)); - x2 = x(tri(tri_list,2));y2=y(tri(tri_list,2));z2=z(tri(tri_list,2)); - x3 = x(tri(tri_list,3));y3=y(tri(tri_list,3));z3=z(tri(tri_list,3)); + x1 = x(tri(tri_list,1)); + x2 = x(tri(tri_list,2)); + x3 = x(tri(tri_list,3)); + + y1 = y(tri(tri_list,1)); + y2 = y(tri(tri_list,2)); + y3 = y(tri(tri_list,3)); + + z1 = z(tri(tri_list,1)); + z2 = z(tri(tri_list,2)); + z3 = z(tri(tri_list,3)); ## calculate norm vector - N = cross([x2-x1, y2-y1, z2-z1],[x3-x1, y3-y1, z3-z1]); - N_norm = sqrt(sumsq(N,2)); + N = cross ([x2-x1, y2-y1, z2-z1], [x3-x1, y3-y1, z3-z1]); + N_norm = sqrt (sumsq (N, 2)); N = N ./ N_norm(:,[1,1,1]); ## calculate D of plane equation @@ -104,17 +112,17 @@ zi(valid) = -(N(:,1).*xi(valid) + N(:,2).*yi(valid) + D ) ./ N(:,3); else - error("griddata: unknown interpolation method"); + error ("griddata: unknown interpolation method"); endif - if nargout == 3 + if (nargout == 3) rx = xi; ry = yi; rz = zi; - elseif nargout == 1 + elseif (nargout == 1) rx = zi; - elseif nargout == 0 - mesh(xi, yi, zi); + elseif (nargout == 0) + mesh (xi, yi, zi); endif endfunction