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2.10. IMAGEDRAWING
261
Example432:400,300 -truchet t ,
2.10.37 -turbulence
Arguments:
radius>0,
octaves={1,2,3...,12},
alpha>0,
difference={-10,10},
mode={0,1,2,3}
Render fractal noise or turbulence on selected images.
Default values:
• ’radius=32’, ’octaves=6’, ’alpha=3’, ’difference=0’ and ’mode=0’.
Example433 : 400,400,1,3 -turbulence 16
Tutorial page:
http://gmic.eu/tutorial/_turbulence.shtml
2.10.38 -yinyang
Draw a yin-yang symbol on selected images.
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262
CHAPTER 2. LIST OF COMMANDS
Example434 : 400,400 -yinyang
2.11 Matrix computation
2.11.1 -dijkstra (+)
Arguments:
• starting
node>=0,ending
node>=0
Compute minimal distances and pathes from specified adjacency matrices by the Dijkstra algorithm.
2.11.2 -eigen (+)
Compute the eigenvalues and eigenvectors of selected symmetric matrices or matrix fields.
If one selected image has 3 or 6 channels, it is regarded as a field of 2x2 or 3x3 symmetric matrices, whose
eigen elements are computedat each point of the field.
Example435 : (1,0,0;0,2,0;0,0,3) --eigen
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2.11. MATRIX COMPUTATION
263
Example436 : image.jpg -structuretensors -blur 2 -eigen -split[0] c
Tutorial page:
http://gmic.eu/tutorial/_eigen.shtml
2.11.3 -invert (+)
Compute the inverse of the selected matrices.
Example437 :(0,1,0;0,0,1;1,0,0) --invert
2.11.4 -solve (+)
Arguments:
• [image]
Solve linear system AX = B for selected B-matrices and specified A-matrix.
If the system is under- or over-determined, the least square solution is returned.
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264
CHAPTER 2. LIST OF COMMANDS
Example438 : (0,1,0;1,0,0;0,0,1) (1;2;3) --solve.
[-2]
2.11.5 -svd (+)
Compute SVD decomposition of selected matrices.
Example439 : 10,10,1,1,’if(x==y,x+u(-0.2,0.2),0)’ --svd
2.11.6 -transpose
Transpose selected matrices.
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2.12. 3D RENDERING
265
Example440 : image.jpg --transpose
2.11.7 -trisolve (+)
Arguments:
• [image]
Solve tridiagonal system AX = B for selectedB-vectors and specified tridiagonal A-matrix.
Tridiagonal matrix mustbe storedas a 3columnvector, where 2nd columncontains the diagonalcoefficients,
while 1st and 3rd columns contain the left and right coefficients.
Example 441 : (0,0,1;1,0,0;0,1,0) (1;2;3) --trisolve.
[-2]
2.12 3d rendering
2.12.1 -add3d (+)
Arguments:
• tx,
ty,
tz
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266
CHAPTER 2. LIST OF COMMANDS
• [object3d]
• (no arg)
Shiftselected 3d objects with specified displacement vector, or mergethem withspecified3dobject, or merge
all selected 3d objects together.
(eq. to
’-+3d’
).
Default values:
• ’ty=tz=0’.
Example 442 : -sphere3d 10 -repeat 5 --add3d.
10,{u(-10,10)},0 -color3d.
${-RGB} -done
-add3d
Example 443 : -repeat 20 -torus3d 15,2 -color3d.
${-RGB} -mul3d.
0.5,1 -if {$>%2}
-rotate3d.
0,1,0,90 -endif -add3d.
70 -add3d -rotate3d.
0,0,1,18 -done -double3d 0
2.12.2 -animate3d
Arguments:
width>0,
height>0,
angle
dx,
angle
dy,
angle
dz,
zoom
factor>=0,
filename
2.12. 3D RENDERING
267
Animate selected 3d objects in a window.
If argument ’filename’ is provided, each frame of the animation is saved as a numbered filename.
Default values:
• ’width=640’, ’height=480’, ’angle
dx=0’, ’angle
dy=1’, ’angle
dz=0’,
’zoom
factor=1’ and ’filename=(undefined)’.
2.12.3 -apply
camera3d
Arguments:
• pos
x,pos
y,pos
z,target
x,target
y,target
z,up
x,up
y,up
z
Apply 3d camera matrix to selected 3d objects.
Default values:
• ’target
x=0’, ’target
y=0’, ’target
z=0’, ’up
x=0’, ’up
y=-1’ and ’up
z=0’.
2.12.4 -array3d
Arguments:
• size
x>=1,
size
y>=1,
size
z>=1,
offset
x[%],
offset
y[%],
offset
y[%]
Duplicate a 3d object along the X,Y and Z axes.
Default values:
• ’size
y=1’, ’size
z=1’ and ’offset
x=offset
y=offset
z=100%’.
Example444 :-torus3d 10,1 --array3d 5,5,5,110%,110%,300%
268
CHAPTER 2. LIST OF COMMANDS
2.12.5 -arrow3d
Arguments:
• x0,y0,z0,x1,y1,z1,
radius[%]>=0,
head
length[%]>=0,
head
radius[%]>=0
Input 3d arrow with specified starting and ending 3d points.
Default values:
• ’radius=5%’, ’head
length=25%’ and ’head
radius=15%’.
Example445 :-repeat 10 a={$>
*
2
*
pi/10} -arrow3d 0,0,0,{cos($a)},{sin($a)},-0.5 -done -+3d
2.12.6 -axes3d
Arguments:
size
x,
size
y,
size
z,
font
size>0,
label
x,
label
y,
label
z
Input 3d axes with specified sizes along the x,y and z orientations.
Default values:
• ’size
x=size
y=size
z=1’, ’font
size=23’, ’label
x=X’, ’label
y=Y’ and
’label
z=Z’.
2.12. 3D RENDERING
269
Example 446 : -axes3d ,
2.12.7 -box3d
Arguments:
size
x,
size
y,
size
z
Input 3d box at (0,0,0), with specified geometry.
Default values:
• ’size
x=1’ and ’size
z=size
y=size
x’.
Example447 :-box3d 100,40,30 --primitives3d 1 -color3d..
${-RGB}
2.12.8 -center3d
Center selected 3d objects at (0,0,0).
(eq. to
’-c3d’
).
270
CHAPTER 2. LIST OF COMMANDS
Example 448 : -repeat 100 -circle3d {u(100)},{u(100)},{u(100)},2 -done -add3d -color3d.
255,0,0 --center3d -color3d.
0,255,0 -add3d
2.12.9 -circle3d
Arguments:
x0,
y0,
z0,
radius>=0
Input 3d circle at specified coordinates.
Default values:
• ’x0=y0=z0=0’ and ’radius=1’.
Example449 : -repeat 500 a={$>
*
pi/250} -circle3d {cos(3
*
$a)},{sin(2
*
$a)},0,{$a/50} -color3d.
${-RGB},0.4 -done -add3d
2.12.10 -circles3d
Arguments:
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