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revision 1155, Sun May 8 14:43:30 2011 UTC revision 1389, Fri Jun 24 17:54:44 2011 UTC
# Line 1  Line 1 
1  NOTE: GLK's approximate ranking of 5 most important tagged with  NOTE: GLK's approximate ranking of 8 most important tagged with
2  [GLK:1], [GLK:2], ...  [GLK:1], [GLK:2], ...
3    
4  ==============================  ========================
5  other SHORT TERM =============  (including needed for LIC)  SHORT TERM ============= (*needed* for streamlines & tractography)
6  ==============================  ========================
   
 Add a clamp function, which takes three arguments; either three scalars:  
   clamp(x, minval, maxval)  = max(minval, min(maxval, x))  
 or three vectors of the same size:  
   clamp([x,y], minvec, maxvec)  = [max(minvec[0], min(maxvec[0], x)),  
                                    max(minvec[1], min(maxvec[1], y))]  
 This would be useful in many current Diderot programs.  
 One question: clamp(x, minval, maxval) is the argument order  
 used in OpenCL and other places, but clamp(minval, maxval, x)  
 would be more consistent with lerp(minout, maxout, x).  
   
 Level of differentiability in field type should be statement about how  
 much differentiation the program *needs*, rather than what the kernel  
 *provides*.  The needed differentiability can be less than or equal to  
 the provided differentiability.  
7    
8  [GLK:1] Add sequence types (needed for evals & evecs)  [GLK:2] Add sequence types (needed for evals & evecs)
9      syntax      syntax
10          types: ty '{' INT '}'          types: ty '{' INT '}'
11          value construction: '{' e1 ',' … ',' en '}'          value construction: '{' e1 ',' … ',' en '}'
12          indexing: e '{' e '}'          indexing: e '{' e '}'
13    
14  IL support for higher-order tensor values (matrices, etc).  [GLK:3] evals & evecs for symmetric tensor[2,2] and
15      tensor construction [DONE]  tensor[3,3] (requires sequences)
     tensor indexing [DONE]  
     tensor slicing  
     verify that hessians work correctly [DONE]  
16    
17  Use ∇⊗ etc. syntax  ability to emit/track/record variables into dynamically re-sized
18      syntax [DONE]  runtime output buffer
     typechecking  
     IL and codegen  
19    
20  test/uninit.diderot:  tensor fields: convolution on general tensor images (order > 1)
 documents need for better compiler error messages when output variables  
 are not initialized; the current messages are very cryptic  
21    
22  determinant ("det") for tensor[3,3]  ========================
23    SHORT-ISH TERM ========= (to make using Diderot less annoying to
24    ========================  program in, and slow to execute)
25    
26  expand trace in mid to low translation  Allow ".ddro" file extensions in addition to ".diderot"
27    
28  value-numbering optimization  Be able to output values of type tensor[2,2] and tensor[3,3];
29    (currently only scalars & vectors).  Want to add some regression tests
30    based on this and currently can't
31    
32  Add type aliases for color types  [GLK:1] Proper handling of stabilize method
     rgb = real{3}  
     rgba = real{4}  
33    
34  ==============================  allow "*" to represent "modulate": per-component multiplication of
35  MEDIUM TERM ================== (including needed for streamlines & tractography)  vectors, and vectors only (not tensors of order 2 or higher).  Once
36  ==============================  sequences are implemented this should be removed: the operation is not
37    invariant WRT basis so it is not a legit vector computation.
38    
39  [GLK:1] evals & evecs for symmetric tensor[3,3] (requires sequences)  implicit type promotion of integers to reals where reals are
40    required (e.g. not exponentiation "^")
41    
42  [GLK:2] Save Diderot output to nrrd, instead of "mip.txt"  [GLK:4] Save Diderot output to nrrd, instead of "mip.txt"
43    For grid of strands, save to similarly-shaped array    For grid of strands, save to similarly-shaped array
44    For list of strands, save to long 1-D (or 2-D for non-scalar output) list    For list of strands, save to long 1-D (or 2-D for non-scalar output) list
45    For ragged things (like tractography output), will need to save both    For ragged things (like tractography output), will need to save both
46      complete list of values, as well as list of start indices and lengths      complete list of values, as well as list of start indices and lengths
47      to index into complete list      to index into complete list
48    
49  [GLK:3] Use of Teem's "hest" command-line parser for getting  [GLK:5] ability to declare a field so that probe positions are
 any input variables that are not defined in the source file  
   
 [GLK:4] ability to declare a field so that probe positions are  
50  *always* "inside"; with various ways of mapping the known image values  *always* "inside"; with various ways of mapping the known image values
51  to non-existant index locations.  One possible syntax emphasizes that  to non-existant index locations.  One possible syntax emphasizes that
52  there is a index mapping function that logically precedes convolution:  there is a index mapping function that logically precedes convolution:
# Line 76  Line 55 
55    F = bspln3 ⊛ (img ◦ mirror)    F = bspln3 ⊛ (img ◦ mirror)
56  where "◦" or "∘" is used to indicate function composition  where "◦" or "∘" is used to indicate function composition
57    
58  extend norm (|exp|) to all tensor types [DONE for vectors and matrices]  Level of differentiability in field type should be statement about how
59    much differentiation the program *needs*, rather than what the kernel
60  ability to emit/track/record variables into dynamically re-sized  *provides*.  The needed differentiability can be less than or equal to
61  runtime buffer  the provided differentiability.
62    
63  Want: allow X *= Y, X /= Y, X += Y, X -= Y to mean what they do in C,  Use ∇⊗ etc. syntax
64  provided that X*Y, X/Y, X+Y, X-Y are already supported.      syntax [DONE]
65  Nearly every Diderot program would be simplified by this.      typechecking
66        IL and codegen
67    
68  [GLK:5] Want: non-trivial field expressions & functions:  Add type aliases for color types
69    image(2)[2] Vimg = load(...);      rgb = real{3}
70    field#0(2)[] Vlen = |Vimg ⊛ bspln3|;      rgba = real{4}
 to get a scalar field of vector length, or  
   field#2(2)[] F = Fimg ⊛ bspln3;  
   field#0(2)[] Gmag = |∇F|;  
 to get a scalar field of gradient magnitude, or  
   field#2(2)[] F = Fimg ⊛ bspln3;  
   field#0(2)[] Gmsq = ∇F•∇F;  
 to get a scalar field of squared gradient magnitude, which is simpler  
 to differentiate.  However, there is value in having these, even if  
 the differentiation of them is not supported (hence the indication  
 of "field#0" for these above)  
   
 Want: ability to apply "normalize" to a field itself, e.g.  
   field#0(2)[2] V = normalize(Vimg ⊛ ctmr);  
 so that V(x) = normalize((Vimg ⊛ ctmr)(x)).  
 Having this would simplify expression of standard LIC method, and  
 would also help express other vector field expressions that arise  
 in vector field feature exraction.  
71    
72  tensor fields: convolution on general tensor images  Revisit how images are created within the language.
73    The "load" operator should probably go away, and its strangs
74    that strings are there only as a way to refer to nrrd filenames
75    
76  ==============================  ==============================
77  other MEDIUM TERM ============ (needed for particles)  MEDIUM TERM ================== (*needed* for particles)
78  ==============================  ==============================
79    
 Put small 1-D and 2-D fields, when reconstructed specifically by tent  
 and when differentiation is not needed, into faster texture buffers.  
 test/illust-vr.diderot is good example of program that uses multiple  
 such 1-D fields basically as lookup-table-based function evaluation  
   
80  run-time birth of strands  run-time birth of strands
81    
82  "initially" supports lists  "initially" supports lists
83    
84  "initially" supports lists of positions output from  "initially" supports lists of positions output from different
85  different initalization Diderot program  initalization Diderot program (or output from the same program;
86    e.g. using output of iso2d.diderot for one isovalue to seed the input
87    to another invocation of the same program)
88    
89    Communication between strands: they have to be able to learn each
90    other's state (at the previous iteration).  Early version of this can
91    have the network of neighbors be completely static (for running one
92    strand/pixel image computations).  Later version with strands moving
93    through the domain will require some spatial data structure to
94    optimize discovery of neighbors.
95    
96    ============================
97    MEDIUM-ISH TERM ============ (to make Diderot more useful/effective)
98    ============================
99    
100  spatial data structure that permits strands' queries of neighbors  Python/ctypes interface to run-time
101    
102  proper handling of stabilize method  support for Python interop and GUI
103    
104  test/vr-kcomp2.diderot: Add support for code like  Allow integer exponentiation ("^2") to apply to square matrices,
105    to represent repeated matrix multiplication
106    
107          (F1 if x else F2)@pos  Put small 1-D and 2-D fields, when reconstructed specifically by tent
108    and when differentiation is not needed, into faster texture buffers.
109    test/illust-vr.diderot is good example of program that uses multiple
110    such 1-D fields basically as lookup-table-based function evaluation
111    
112  This will require duplication of the continuation of the conditional  extend norm (|exp|) to all tensor types [DONE for vectors and matrices]
113  (but we should only duplicate over the live-range of the result of the  
114  conditional.  determinant ("det") for tensor[3,3]
115    
116  add ":" for tensor dot product (contracts out two indices  add ":" for tensor dot product (contracts out two indices
117  instead of one like •), valid for all pairs of tensors with  instead of one like •), valid for all pairs of tensors with
118  at least two indices  at least two indices
119    
120  ==============================  test/uninit.diderot:
121  other MEDIUM TERM ============  documents need for better compiler error messages when output variables
122  ==============================  are not initialized; the current messages are very cryptic
123    
124  want: warnings when "D" (reserved for differentiation) is declared as  want: warnings when "D" (reserved for differentiation) is declared as
125  a variable name (get confusing error messages now)  a variable name (get confusing error messages now)
126    
127  support for Python interop and GUI  ==============================
128    LONG TERM ==================== (make Diderot more interesting/attractive from
129  Python/ctypes interface to run-time  ==============================  a research standpoint)
130    
131  Allow the convolution to be specified either as a single 1D kernel  [GLK:6] Want code-generation working for tensors of order three.
132  (as we have it now):  Order three matters for edge detection in scalar fields (to get
133    field#2(3)[] F = bspln3 ⊛ img;  second derivatives of gradient magnitude), second derivatives
134  or, as a tensor product of kernels, one for each axis, e.g.  of vector fields (for some feature extraction), and first
135    field#0(3)[] F = (bspln3 ⊗ bspln3 ⊗ tent) ⊛ img;  derivatives of diffusion tensor fields.
 This is especially important for things like time-varying data, or  
 other multi-dimensional fields where one axis of the domain is very  
 different from the rest.  What is very unclear is how, in such cases,  
 we should notate the gradient, when we only want to differentiate with  
 respect to some of the axes.  
136    
137  ==============================  IL support for higher-order tensor values (matrices, etc).
138  LONG TERM ====================      tensor construction [DONE]
139  ==============================      tensor indexing [DONE]
140        tensor slicing
141    
142  Better handling of variables that determines the scope of a variable  Better handling of variables that determines the scope of a variable
143  based on its actual use, instead of where the user defined it.  So,  based on its actual use, instead of where the user defined it.  So,
# Line 172  Line 145 
145  scope.  Also prune out useless variables, which should include field  scope.  Also prune out useless variables, which should include field
146  variables after the translation to mid-il.  variables after the translation to mid-il.
147    
148    test/vr-kcomp2.diderot: Add support for code like
149            (F1 if x else F2)@pos
150    This will require duplication of the continuation of the conditional
151    (but we should only duplicate over the live-range of the result of the
152    conditional.
153    
154    [GLK:7] Want: non-trivial field expressions & functions.
155    scalar fields from scalar fields F and G:
156      field#0(2)[] X = (sin(F) + 1.0)/2;
157      field#0(2)[] X = F*G;
158    scalar field of vector field magnitude:
159      image(2)[2] Vimg = load(...);
160      field#0(2)[] Vlen = |Vimg ⊛ bspln3|;
161    field of normalized vectors (for LIC and vector field feature extraction)
162      field#2(2)[2] F = ...
163      field#0(2)[2] V = normalize(F);
164    scalar field of gradient magnitude (for edge detection))
165      field#2(2)[] F = Fimg ⊛ bspln3;
166      field#0(2)[] Gmag = |∇F|;
167    scalar field of squared gradient magnitude (simpler to differentiate):
168      field#2(2)[] F = Fimg ⊛ bspln3;
169      field#0(2)[] Gmsq = ∇F•∇F;
170    There is value in having these, even if the differentiation of them is
171    not supported (hence the indication of "field#0" for these above)
172    
173    Introduce region types (syntax region(d), where d is the dimension of the
174    region.  One useful operator would be
175            dom : field#k(d)[s] -> region(d)
176    Then the inside test could be written as
177            pos ∈ dom(F)
178    We could further extend this approach to allow geometric definitions of
179    regions.  It might also be useful to do inside tests in world space,
180    instead of image space.
181    
182  co- vs contra- index distinction  co- vs contra- index distinction
183    
184  some indication of tensor symmetry  Permit field composition:
185      field#2(3)[3] warp = bspln3 ⊛ warpData;
186      field#2(3)[] F = bspln3 ⊛ img;
187      field#2(3)[] Fwarp = F ◦ warp;
188    So Fwarp(x) = F(warp(X)).  Chain rule can be used for differentation.
189    This will be instrumental for expressing non-rigid registration
190    methods (but those will require co-vs-contra index distinction)
191    
192    Allow the convolution to be specified either as a single 1D kernel
193    (as we have it now):
194      field#2(3)[] F = bspln3 ⊛ img;
195    or, as a tensor product of kernels, one for each axis, e.g.
196      field#0(3)[] F = (bspln3 ⊗ bspln3 ⊗ tent) ⊛ img;
197    This is especially important for things like time-varying fields
198    and the use of scale-space in field visualization: one axis of the
199    must be convolved with a different kernel during probing.
200    What is very unclear is how, in such cases, we should notate the
201    gradient, when we only want to differentiate with respect to some
202    subset of the axes.  One ambitious idea would be:
203      field#0(3)[] Ft = (bspln3 ⊗ bspln3 ⊗ tent) ⊛ img; // 2D time-varying field
204      field#0(2)[] F = lambda([x,y], Ft([x,y,42.0]))     // restriction to time=42.0
205      vec2 grad = ∇F([x,y]);                             // 2D gradient
206    
207    Tensors of order 3 (e.g. gradients of diffusion tensor fields, or
208    hessians of vector fields) and order 4 (e.g. Hessians of diffusion
209    tensor fields).
210    
211    representation of tensor symmetry
212  (have to identify the group of index permutations that are symmetries)  (have to identify the group of index permutations that are symmetries)
213    
214  dot works on all tensors  dot works on all tensors
215    
216  outer works on all tensors  outer works on all tensors
217    
218    Help for debugging Diderot programs: need to be able to uniquely
219    identify strands, and for particular strands that are known to behave
220    badly, do something like printf or other logging of their computations
221    and updates.
222    
223    Permit writing dimensionally general code: Have some statement of the
224    dimension of the world "W" (or have it be learned from one particular
225    field of interest), and then able to write "vec" instead of
226    "vec2/vec3", and perhaps "tensor[W,W]" instead of
227    "tensor[2,2]/tensor[3,3]"
228    
229    Traits: all things things that have boilerplate code (especially
230    volume rendering) should be expressed in terms of the unique
231    computational core.  Different kinds of streamline/tractography
232    computation will be another example, as well as particle systems.
233    
234  Einstein summation notation  Einstein summation notation
235    
236  "tensor comprehension" (like list comprehension)  "tensor comprehension" (like list comprehension)
237    
238    Fields coming from different sources of data:
239    * triangular or tetrahedral meshes over 2D or 3D domains (of the
240      source produced by finite-element codes; these will come with their
241      own specialized kinds of reconstruction kernels, called "basis
242      functions" in this context)
243    * Large point clouds, with some radial basis function around each point,
244      which will be tuned by parameters of the point (at least one parameter
245      giving some notion of radius)
246    
247  ======================  ======================
248  BUGS =================  BUGS =================
249  ======================  ======================
# Line 194  Line 253 
253  //  uncaught exception Size [size]  //  uncaught exception Size [size]
254  //    raised at c-target/c-target.sml:47.15-47.19  //    raised at c-target/c-target.sml:47.15-47.19
255  //field#4(3)[] F = img ⊛ bspln5;  //field#4(3)[] F = img ⊛ bspln5;
256    

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