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view main/vrml/inst/vrml_surf.m @ 9882:f129b3ea857d octave-forge
vrml: update license to GPLv3+
author | carandraug |
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date | Mon, 26 Mar 2012 19:03:54 +0000 |
parents | e8c914758fdf |
children | 28b882879c6e |
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## Copyright (C) 2002-2009 Etienne Grossmann <etienne@cs.uky.edu> ## ## 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