/usr/share/octave/packages/vrml-1.0.13/vrml_surf.m is in octave-vrml 1.0.13-2.
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##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see <http://www.gnu.org/licenses/>.
## s = vrml_surf (x, y, z [, options] ) - code for a VRML surface
## s = vrml_surf (z [, options] )
##
## Returns vrml97 code for a Shape -> IndexedFaceSet node representing a
## surface passing through the given points.
##
## x : RxC or C : X coordinates of the points on the surface
## y : RxC or R : Y " "
## z : RxC : Z " "
##
## s : string : The code
##
## If x and y are omitted, they are assumed to be linspace(-1,1,C or R).
## Points presenting one or more 'inf' or 'nan' coordinates are ignored.
##
## Options :
##
## "col" , col : 3 : RGB Color, default = [0.3,0.4,0.9]
## or 3x(R*C): Color of vertices (vrml colorPerVertex is TRUE).
## or 3x((R-1)*(C-1))
## : Color of facets
## or 1 : Reflectivity (equivalent to [col,col,col] in RGB)
## or R x C : Reflectivity of vertices
## or 1x(R*C)
## or (R-1)x(C-1)
## or (R-1)*(C-1)
## : Reflectivity of facets.
##
## RGB and reflectivity values should be in the [0,1] interval.
##
## "checker", c : 1x2 : Color as a checker. If c(1) is positive, checker has
## c(1) rows. If it is negative, each checker row is c(1) facets
## high c(2) likewise determines width of checker columns.
## "checker", c : 1x1 : Same as [c,c].
##
## "zcol", zc : 3xN : Specify a colormap. The color of each vertex is
## interpolated according to its height (z).
##
## "zgray" : Black-to-white colormap. Same as "zcol", [0 1;0 1;0 1].
##
## "zrb" : Red-to-blue. Same as "zcol", [0 7 10;0 0 2;7 19 2]/10.
##
## "steps" : Represent surface as a piecewise constant Z = f(X,Y) function
##
## "bars" : Represent surface as a bar plot
##
## "tran", tran : 1x1 : Transparency, default = 0
##
## "creaseAngle", a
## : 1 : vrml creaseAngle The browser may smoothe the fold
## between facets forming an angle less than a.
## default = 0
## "smooth" : same as "creaseAngle",pi.
## "tex", texFile
##
## See also: vmesh(), vrml_faces(), test_moving_surf()
function s = vrml_surf (x, y, z,varargin)
if (nargin <= 1) || ischar(y), # Cruft to allow not passing x and y
zz = x ;
[R,C] = size (zz);
[xx,yy] = meshgrid (linspace (-1,1,C), linspace (-1,1,R));
## ones(R,1)*[1:C] ;
## yy = ## [1:R]'*ones(1,C) ;
##if nargin >=3,
## s = vrml_surf ( xx, yy, zz, y, z, varargin{:} );
## return
##elseif nargin >=2,
## s = vrml_surf ( xx, yy, zz, y, varargin{:} );
## return
##end
if nargin >= 3
varargin = {y, z, varargin{:}};
elseif nargin >= 2
varargin = {y, varargin{:}};
end
x = xx ; y = yy ; z = zz ;
end
defaultCol = [0.3; 0.4; 0.9];
# Read options
# Default values
upper = 1; # Do "upper" triangulation of square grid
tran = 0 ; # Transparency
col = defaultCol ; # Color
checker = 0; # Checkered coloring
colorPerVertex = 1; # Color vertices or faces
zrb = zgray = zcol = 0; # Color by elevation
emit = 0; # emissiveColor or diffuse only
smooth = creaseAngle = nan ;
steps = 0;
bars = 0;
tex = 0;
bwid = -1;
DEFcoord = DEFcol = ""; # Give a name to VRML objects
if numel (varargin)
op1 = " tran col creaseAngle emit colorPerVertex checker DEFcoord DEFcol zcol bwid tex ";
op0 = " smooth zgray zrb steps bars " ;
default = tars (tran, col, creaseAngle, emit, colorPerVertex, steps, bars, \
bwid, DEFcoord, DEFcol, zcol, smooth, checker, zgray, zrb, tex);
s = read_options (varargin,"op0",op0,"op1",op1,"default",default);
tran= s.tran;
col= s.col;
creaseAngle= s.creaseAngle;
emit= s.emit;
colorPerVertex= s.colorPerVertex;
DEFcoord= s.DEFcoord;
DEFcol= s.DEFcol;
zcol= s.zcol;
smooth= s.smooth;
steps= s.steps;
bars= s.bars;
bwid= s.bwid;
tex= s.tex;
if bwid >= 0
bars = 1;
end
checker= s.checker;
zgray= s.zgray;
zrb= s.zrb;
end
## keyboard
if ! isnan (smooth), creaseAngle = pi ; end
[R,C] = size(z);
if any (size (x) == 1), x = ones(R,1)*x(:)' ; end
if any (size (y) == 1), y = y(:)*ones(1,C) ; end
if bars
if bwid < 0
bwid = 2/3;
end
brad = bwid/2;
R4 = 4*R;
C4 = 4*C;
x2 = y2 = z2 = zeros (R4,C4);
x2(:,1) = x2(:,2) = kron ((1+brad)*x(:,1) - brad*x(:,2), [1;1;1;1]);
x2(:,C4-1) = x2(:,C4) = kron ((1+brad)*x(:,C) - brad*x(:,C-1), [1;1;1;1]);
x2(:,5:4:C4) = x2(:,6:4:C4) = kron ((1-brad)*x(:,2:C) + brad*x(:,1:C-1), [1;1;1;1]);
x2(:,3:4:C4-4) = x2(:,4:4:C4-4) = kron ((1-brad)*x(:,1:C-1)+brad*x(:,2:C), [1;1;1;1]);
y2(1,:) = y2(2,:) = kron ((1+brad)*y(1,:) - brad*y(2,:), [1 1 1 1]);
y2(R4-1,:) = y2(R4,:) = kron ((1+brad)*y(R,:) - brad*y(R-1,:), [1 1 1 1]);
y2(5:4:R4,:) = y2(6:4:R4,:) = kron ((1-brad)*y(2:R,:) + brad*y(1:R-1,:), [1 1 1 1]);
y2(3:4:R4-4,:) = y2(4:4:R4-4,:) = kron ((1-brad)*y(1:R-1,:) + brad*y(2:R,:), [1 1 1 1]);
z2([2:4:R4;3:4:R4],[2:4:C4;3:4:C4]) = kron(z,ones(2));
x = x2;
y = y2;
z = z2;
R = R4;
C = C4;
if numel (size (col)) == 2 && all (size (col) == size (defaultCol)) && all (col == defaultCol)
col = [col, 0.8*col, 0.9*col];
end
if numel (col) == 3
col = col(:);
topCol = col;
botCol = col;
sideCol = [col,col,col,col];
elseif numel (col) == 6
col = col(:);
topCol = col(1:3);
botCol = col(1:3);
sideCol = col(4:6)*ones(1,4);
elseif numel (col) == 9
col = col(:);
topCol = col(1:3);
botCol = col(7:9);
sideCol = col(4:6)*ones(1,4);
end
col = ones(3, R-1, C-1);
for i=1:3
col(i,2:4:R-1,2:4:C-1) = topCol(i);
col(i,4:4:R-1,:) = botCol(i);
col(i,:,4:4:C-1) = botCol(i);
col(i,3:4:R-1,2:4:C-1) = sideCol(i,1);
col(i,2:4:R-1,1:4:C-1) = sideCol(i,2);
col(i,1:4:R-1,2:4:C-1) = sideCol(i,3);
col(i,2:4:R-1,3:4:C-1) = sideCol(i,2);
end
iOnFloor = find (! z(1:R-1,1:C-1));
if ! isempty (iOnFloor)
## keyboard
col(3*(iOnFloor-1)+1) = botCol(1);
col(3*(iOnFloor-1)+2) = botCol(2);
col(3*(iOnFloor-1)+3) = botCol(3);
end
elseif steps # Constant by parts
# Intermediate coordinates (R+1) x (C+1)
x2 = (x([1,1:R],[1,1:C]) + x([1,1:R],[1:C,C])) / 2;
y2 = (y([1,1:R],[1:C,C]) + y([1:R,R],[1:C,C])) / 2;
# Extend extremities so all patches have same size
x2(1,:) = 2*x2(1,:) - x2(2,:);
x2(:,1) = 2*x2(:,1) - x2(:,2);
x2(R+1,:) = 2*x2(R+1,:) - x2(R,:);
x2(:,C+1) = 2*x2(:,C+1) - x2(:,C);
y2(1,:) = 2*y2(1,:) - y2(2,:);
y2(:,1) = 2*y2(:,1) - y2(:,2);
y2(R+1,:) = 2*y2(R+1,:) - y2(R,:);
y2(:,C+1) = 2*y2(:,C+1) - y2(:,C);
# Duplicate intermediate values 2R x 2C
ii = [1,([1;1]*(2:R))(:)',R+1];
jj = [1,([1;1]*(2:C))(:)',C+1];
x2 = x2(ii,jj);
y2 = y2(ii,jj);
z2 = z([1;1]*(1:R),[1;1]*(1:C));;
x = x2;
y = y2;
z = z2;
if checker
col = checker_color (checker, col, 2*R,2*C);
end
if numel (col) == R*C
col = [1;1;1]*col(:)';
end
if numel (col) == 3*R*C
col = reshape (col, 3,R,C);
col2 = zeros (3,2*R-1,2*C-1);
col2(1,:,:) = defaultCol(1);
col2(2,:,:) = defaultCol(2);
col2(3,:,:) = defaultCol(3);
col2(:,1:2:end,1:2:end) = col;
col = reshape (col2,3,(2*R-1)*(2*C-1));
end
R *= 2;
C *= 2;
end
pts = [x(:)';y(:)';z(:)'];
keepp = all (!isnan(pts) & finite(pts)) ;
keepip = find (keepp);
if tex
[texX,texY] = meshgrid (linspace (0,1,C), linspace (0,1,R));
texXY = [texX(:)'; texY(:)'];
end
trgs = zeros(3,2*(R-1)*(C-1)) ;
## Points are numbered as
##
## 1 R+1 .. (C-1)*R+1
## 2 R+2 :
## : : :
## R 2*R .. C*R
##
## (x,y), (x,y+1), (x+1,y) i.e. n, n+1, n+R
if !upper # Do regular triangulation
## Triangles are numbered as :
##
## X = (R-1)*(C-1)
## +-----+-----+-----+-----+-----+
## | /| /| /| /|-R+1/|
## | 1 / | R / | / | / |R*C/ |
## | / | / | / | / | / |
## | /X+1| /X+R| / | / | / |
## |/ |/ |/ |/ |/ |
## +-----+-----+-----+-----+-----+
## | /| /| /| /| /|
## | 2 / |R+2/ | / | / | / |
## | / | / | / | / | / |
## | / | / | / | / | / |
## |/ |/ |/ |/ |/ |
## +-----+-----+-----+-----+-----+
## : : :
## : : :
## +-----+-----+-----+-----+-----+
## | /| /| /| /| /|
## |R-1/ |2*R/ | / | / |C*R/ |
## | / |-1/ | / | / | / |
## | /X+R| / | / | / | /C*R|
## |/ |/ |/ |/ |/ X+ |
## +-----+-----+-----+-----+-----+
tmp = 1:(R-1)*(C-1);
trgs(1,tmp) = ([1:R-1]'*ones(1,C-1) + R*ones(R-1,1)*[0:C-2])(:)';
trgs(2,tmp) = ([ 2:R ]'*ones(1,C-1) + R*ones(R-1,1)*[0:C-2])(:)';
trgs(3,tmp) = ([1:R-1]'*ones(1,C-1) + R*ones(R-1,1)*[1:C-1])(:)';
tmp += (R-1)*(C-1);
trgs(1,tmp) = ([1:R-1]'*ones(1,C-1) + R*ones(R-1,1)*[1:C-1])(:)';
trgs(2,tmp) = ([ 2:R ]'*ones(1,C-1) + R*ones(R-1,1)*[0:C-2])(:)';
trgs(3,tmp) = ([ 2:R ]'*ones(1,C-1) + R*ones(R-1,1)*[1:C-1])(:)';
else # Do "upper" triangulation
## Each triangle is +-----+ +-----+
## the highest of either | /| or |\ |
## | / | | \ |
## | / | | \ |
## | / | | \ |
## |/ | | \|
## +-----+ +-----+
tmp = 1:(R-1)*(C-1);
tmp2 = reshape(1:R*C,R,C);
foo1 = z(1:R-1,1:C-1) + z(2:R,2:C);
foo2 = z(2:R,1:C-1) + z(1:R-1,2:C);
tmp3 = (!isnan(foo1) & (isnan (foo2) | foo1 > foo2))(:)';
trgs(1,tmp) = tmp2(1:R-1,1:C-1)(:)';
trgs(2,tmp) = tmp2(2:R,1:C-1)(:)';
trgs(3,tmp) = trgs(1,tmp) + R + tmp3 ;
tmp += (R-1)*(C-1);
trgs(1,tmp) = tmp2(1:R-1,2:C)(:)';
trgs(2,tmp) = tmp2(2:R,2:C)(:)';
trgs(3,tmp) = trgs(1,tmp) - R + 1 - tmp3 ;
end # EOF "upper" triangulation
#trgs = trgs(:,find(rem(1:R-1,2)'*rem(1:C-1,2)));
if length (col) == 1 # Convert graylevel to RGB
col = [1 1 1]*col;
elseif any (prod (size (col)) == [R*C,(R-1)*(C-1)])
col = [1;1;1]*col(:)';
end
if zgray || zrb || any (zcol(:)) # Treat zgray zrb and zcol options
zx = max (z(keepip));
zn = min (z(keepip));
if zgray, zcol = [0 0 0; 1 1 1]';
elseif zrb , zcol = [0 0 0.7; 0.5 0 0.8; 1 0 0]';
end
ci = 1 + floor (cw = (columns (zcol)-1) * (z(keepip) - zn)/(zx - zn));
cw = cw - ci + 1;
ii = find (ci >= columns (zcol));
if ! isempty (ii), ci(ii) = columns (zcol) - 1; cw(ii) = 1; end
col = zeros (3,R*C);
col(:,keepip) = \
zcol(:,ci) .* ([1;1;1]*(1-cw)) + zcol(:,ci+1) .* ([1;1;1]*cw);
end # EOF zgray zrb and zcol options
if checker && numel (col) <= 6
if isnan (checker), checker = 10; end
if length (checker) == 1, checker = [checker, checker]; end
col = checker_color (checker, col, R,C);
if 0
if checker(1) > 0, checker(1) = - (C-1)/checker(1); end
if checker(2) > 0, checker(2) = - (R-1)/checker(2); end
checker *= -1;
colx = 2 * (rem (0:C-2,2*checker(1)) < checker(1)) - 1;
coly = 2 * (rem (0:R-2,2*checker(2)) < checker(2)) - 1;
icol = 1 + ((coly'*colx) > 0);
# Keep at most 1st 2 colors of col for the
# checker
if prod (size (col)) == 2,
col = [1;1;1]*col;
elseif prod (size (col)) < 6, # Can't be < 3 because of previous code
col = col(1:3)(:);
if all (col >= 1-eps), col = [col [0;0;0]]; # Black and White
else col = [col [1;1;1]]; # X and White
end
end
col = reshape (col(:),3,2);
col = col(:,icol);
end
end # EOF if checker
if prod (size (col)) == 3*(R-1)*(C-1),
colorPerVertex = 0;
end
if ! colorPerVertex
if prod (size (col)) == 3*(R-1)*(C-1)
col = reshape (col,3, (R-1)*(C-1));
col = [col, col];
else
printf(["vrml_surf : ",\
" colorPerVertex==0, (R-1)*(C-1)==%i, but col has size [%i,%i]\n"],\
R*C,size (col));
end
end
if ! all(keepp),
# Try to toggle some triangles to fill in
# holes
if ! upper
nt = (R-1)*(C-1) ;
tmp = ! reshape(keepp(trgs),3,2*nt);
tmp = all( tmp == kron([0,0;0,1;1,0],ones(1,nt)) );
trgs(3, find ( tmp(1:nt) & rem (trgs(3,1:nt),R)) )++ ;
trgs(2, nt+ find ( tmp(nt+1:2*nt) & (rem (trgs(3,nt+1:2*nt),R)!=1)) )-- ;
# Remove whatever can't be kept
keept = all (reshape(keepp(trgs),3,2*(R-1)*(C-1)));
else
tmp = reshape (keepp,R,C);
keept = \
all (reshape (tmp(trgs(1:2,:)),2,2*(R-1)*(C-1))) & \
[(tmp(1:R-1,2:C) | tmp(2:R,2:C))(:)', \
(tmp(1:R-1,1:C-1) | tmp(2:R,1:C-1))(:)'] ;
end
keepit = find (keept);
renum = cumsum (keepp);
pts = pts (:,keepip);
trgs = reshape(renum (trgs (:,keepit)), 3, columns(keepit));
if prod (size (col)) == 6*(R-1)*(C-1)
col = col(:,keepit);
# Coherence check : colorPerVertex == 0
if colorPerVertex
error ("Col has size 3*(R-1)*(C-1), but colorPerVertex == 1");
end
elseif prod (size (col)) == 3*R*C
col = col(:,keepip);
# Coherence check : colorPerVertex == 1
if ! colorPerVertex
error ("Col has size 3*R*C, but colorPerVertex == 0");
end
end
end
## printf ("Calling vrml_faces\n");
if !tex
s = vrml_faces (pts, trgs, "col", col,\
"colorPerVertex",colorPerVertex,\
"creaseAngle", creaseAngle,\
"tran", tran, "emit", emit,\
"DEFcoord",DEFcoord,"DEFcol",DEFcol);
else
texXY = texXY(:,keepip);
# texXY(:,[1:5,232:236])
# pts(:,[1:5,232:236])
# trgs(:,1:20)
# [texXY; pts]
# trgs
# texXY(:,trgs(:))
# R, C
# keyboard
s = vrml_faces (pts, trgs,\
"tran", tran, "tex", tex, "tcoord", texXY,\
"DEFcoord",DEFcoord,"DEFcol",DEFcol);
end
## printf ("Done\n");
## R=5; C=11;
## x = ones(R,1)*[1:C]; y = [1:R]'*ones(1,C);
## zz = z = sin(x)+(2*y/R-1).^2 ;
## ## Punch some holes
## holes = ind2sub ([R,C],[3,3,3,1,2,3,2,3;1,2,3,5,7,7,9,10]')
## z(holes) = nan
## save_vrml("tmp.wrl",vrml_surf(x,y,z+1))
## save_vrml("tmp.wrl",vrml_surf(z,"col",[0.5,0,0],"tran",0.5),vrml_surf(z+1))
endfunction
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