https://svn.lrde.epita.fr/svn/oln/trunk/milena Index: ChangeLog from Nicolas Ballas &lt;ballas(a)lrde.epita.fr&gt; Continue documentation. * sandbox/ballas/doc/image_tours.txt: Add run and lut image definition. * sandbox/ballas/doc/draft.txt: Update. draft.txt | 11 - image_tours.txt | 368 +++++++++++++++++++++++++++++++++++++++++++++++++++----- 2 files changed, 345 insertions(+), 34 deletions(-) Index: sandbox/ballas/doc/image_tours.txt --- sandbox/ballas/doc/image_tours.txt (revision 1877) +++ sandbox/ballas/doc/image_tours.txt (working copy) @@ -282,11 +282,6 @@ io = read_only speed = fast ---> properties related to values - -kind =?? -quant =?? -value = fixme --> properties related to the pset @@ -308,40 +303,188 @@ All the run based encoded images have their definition domains encoded by runs. These images types are not morpher types since these do not lie on another -image type.A run is a "continuous" (note this is wrong, cf graph index) set of -sites.It is define by a site start, and a length. All the run based encoded -image are templated by P, T where P is a site type and T a value type. +image type. +All the run based encoded images are templated by P, T where P is a site type +and T a value type. Note: type one shot (const)!!! Do we store the the null value in the rle encoding. -(Do we compress all the images values, or only the image objects...) +( <=> Do we compress all the images values, or only the image objects...) Is there any restriction on P and T? -How the properties are setted and to which values? +*** Notation used: + (a, b) represents a pair composed by two elements.. + {a, b, c...} represents a list of elements. + +*** What is a run? + +**** Definition + +// FIXME choose a better word than continuous. +A run is a "continuous" succession of sites. +All the sites encoded in a same run have the same value in the corresponding +image. + +It is defined by a site "start", and a length. + +ex: + start length of + site the run + ((1, 2), 6 ) + + + see the image: + + 1 - 1 - 2 + | | | + 2 - 2 - 2 + | | | + 3 - 3 - 3 + +Its corresponding runs are: +{ + ( (0, 0), 2 ), + ( (0, 2), 1 ), + ( (1, 0), 3 ), + ( (2, 0), 3 ), +} + +Note: there is two different runs for the value 2: + ( (0, 2), 1 ), + ( (1, 0), 3 ). + +Indeed the points (0, 2) and (1, 0) are not "continuous". + + + +**** Difference between data stored in a linear way and runs. + +A run doesn't represent only a continuous memory zone. +A run has also a localization aspect. +From a run, we can get all the points which compose it. + +For instance, look at the following run: + + + i_run: 0 1 2 3 + +-+-+-+-+ + (0, 4) |1|1|1|1| <=> ( (0, 4), 4 ) + +-+-+-+-+ + +The points composing this run are: +(0, 4), (0, 5), (0, 6), (0, 7) + +This property is really important to guarantee the interoperability +between the different image types. + +**** PieceWise property + +The run is templated by a site type. +But does we have any restriction on the type of site? + +The answer seems to be yes, the run must have a localization aspect. +To allow this localization, we must be able to convert a p_run into its +corresponding sites. +So we must be able to convert a site and i_run index to another site. + +ex: + +(0, 4) + 3 give us the site (0, 7). + +It has two consequences: +- a site must be convertible into a vector of coordinates +- We must a know to which coordinate we add the i_run index to compute another + site. We will choose the coordinate which vary the most. + +This lead us to the PieceWise property: + The site can be represented by a vector of coordinates, and this vector has a +coordinate which vary more than the other. (And we have an access to these +coordinates). + -*** Criteria needed by images to be encoded in runs +**** Why a run has to be a "continuous" succession of sites? -Can we compress all the image types or only the piece wise image type -(cf the on_the_same_line in the encode algorithm). +We can imagine that a run is a succession of noncontinuous sites. +For instance look at the following image: -Currently, *encode function just work with image based on a **Point** set. -cf: -for (unsigned n = 0; same_line && n < dim - 1; ++n) - same_line = (p1[n] == p2[n]); + 1 - 1 - 2 + | | | + 2 - 2 - 2 This image is based on a grid which has its deltaX equal to 10 + | | | and its deltaY equal to 30. + 1 - 1 - 1 -Problem generalization: - A p_run take a Site as a parameter. - a p_run must be able to be casted into the Site (actually, const Site). - The only information that we have in the p_run is a len (integer). - So we must be able to refind all the site in the run from the site start, -and a addition with an integer. +So the points localized on the grid are: - How do we name this property? + (0, 0) - (10, 0) - (20, 0) + | | | + (0, 30) - (10, 30) - (20, 30) + | | | + (0, 60) - (10, 60) - (20, 60) +The corresponding encoded image with "noncontinuous" runs will be: + { ((a,1), 2), ((b,2), 1), ((c,2), 3), ((c,3), 3) } + +with a = (0, 0), b = (20, 0), c = (0, 30), d = (0, 60). + +Another representation of the encoded image is: + + i_run: 0 1 2 + +-+-+ + (0, 0) |1|1| + +-+-+ + (20, 0) |2| + +-+-+-+ + (0, 30) |2|2|2| + +-+-+-+ + (0, 60) |1|1|1| + +-+-+-+ + +Here, we loose the localization aspect of the psite. +Indeed a psite (p_run) is represented by a site (pstart), and an integer +(i_run). With these information, we can access to all the value in the encoded +image. However we can not convert a psite (p_run) into a site (point2d). +For instance: + + psite -> site + (pstart: (0, 60) i_run: 2) -> (2, 60) + +However, the point (2, 60) doesn't belong to the image pset. +The expected result here is (20, 60). +This problem is an outcome of the holes present in the original image grid. +So, this is an outcome of the "noncontinuous" aspect of the run. + +This approach implies one direct drawback: we loose the interoperability +between the encoded image type and other image types (We cannot convert a +p_run into the corresponding site). +So, a run has to be a continuous succession set of points. + +Another solution is to store the deltaX of the grid inside the psite. +This way, we have enough information to convert a p_run into a point2d. +But encoding a graph image will not work either, even with the second +solution. Indeed, nothing assure us that the site on a graph are "continuous". + +Do we need a property for that?. + +Another problem with "noncontinuous" run is the index access ambiguity. +If the image provide an index access, the point represented by the indexes i,j +is not necessarily the same point represented by the indexes i,j in the +encoded image. + + +**** Which kind of image can be encoded? / Conclusion + +We need two condition to encode an image type into a run encoded types. +First the image psite type must be piece wise. +Furthermore, the image must be based on a (regular) grid without any "holes". + +All image{1, 2, 3}d types can be encoded. +Image based on a lut can be encoded too. +Function image with a regular grid can be encoded. +And morphers types based on a regular grid can be encoded too. *** RLE Image @@ -353,7 +496,6 @@ **** Associated types: value = T - site = P psite = runs_psite<P> pset = p_runs_<P> @@ -384,8 +526,32 @@ support = depend on P // The property setted in the milena code is wrong + +**** Example: + +Consider the following image on regular grid. + + 1 - 1 - 2 + | | | + 2 - 2 - 2 + | | | + 1 - 1 - 1 + +The encoded image is: + +{ + psite value + ( ((0, 0), 2), 1 ), + ( ((0, 2), 1), 2 ), + ( ((1, 0), 3), 2 ), + ( ((2, 0), 3), 1 ), +} + + *** Compact RLE +FIXME + *** Sparse Image A RLE image can be defined as the following: @@ -396,7 +562,6 @@ **** Associated types: value = T - site = P psite = runs_psite<P> pset = p_runs_<P> @@ -405,9 +570,157 @@ Same properties than the RLE Image type. +**** Examples: + +Consider the following images: + +The empty case denote there is no data at this coordinate. + + 1 - 2 - 3 - - - + | | | | | | + - - - 2 - 2 - 2 + | | | | | | + - - - 4 - 5 - 8 + | | | | | | + - - - - - + + +Its sparse encoding is: + +{ psite values + ( ((0, 0), 3), {1, 2, 3}), + ( ((1, 3), 3), {2, 2, 2}), + ( ((2, 3), 3), {4, 5, 6}), +} + + *** Value encoded image +**** Definition: + +A value image is an image which associate a value to its corresponding psite. +So, we can easily get all the psites/site which have their (in O(1) complexity) + +{ + (v, {runs}) +} + +**** Associate types: + +value = T +site = P +psite = runs_psite<P> +pset = p_runs_<P> + +**** Properties: + Same as rle image. + +**** Example: + + +See + 1 - 1 - 1 - - - + | | | | | | + - - - 2 - 2 - 2 + | | | | | | + - - - 2 - 2 - 2 + | | | | | | + 3 - 3 - 3 - 4 - 4 - 4 + +The corresponding encoded image is: + + +{ + (1, {((0, 0), 3)} ), + + (2, {((1, 3), 3), + ((2, 3), 3)} ), + + (3, {((3, 0), 3)} ), + + (4, {((3, 3), 3)} ) +} + + +*** Image based on Lut + +**** Definition + +An image based on a lut is primitive image type. +This kind of image use a look up table to retrieve a value +associated to an image site. + +It can be defines as followed: + + ({values}, {lut_values}) + + +FIXME: How do we deal with the dimensions of the images? + + + +**** Associated type + +site=P +psite=P +value=V +pset=pset<P> + + +**** Property: + +--> global properties + +category = primary +border = none +neighb: none +data = stored +io = read_write +speed = fast + +--> properties related to values + +kind = +quant =small +value = V + +--> properties related to the pset + +access = browsing // Why the access property is set to browsing? +space = pset<P>::space +size = regular +support = pset<P>::supper + + +**** Example: + +Consider this image type: + +{ data = + +-----------+ + | 0 2 1 0 2 | + | 0 0 3 2 1 | + | 2 1 2 2 0 | + +-----------+; + lut = + +---+---------------+ + | 0 | (255, 0, 0) | red (r) + | 1 | (127,127,127) | medium grey (m) + | 2 | ( 0, 0,255) | blue (b) + | 3 | (127,127,127) | medium grey (m) again + +---+---------------+ +} + +This image is defined with a look-up table; its external +representation actually is: + + +-----------+ + | r b m r b | + | r r m b m | + | b m b b r | + +-----------+ + ** Graph Image @@ -415,9 +728,6 @@ **** Connectivity based on a graph. - -** Image based on Lut - ** Morpher (Derived Image) Mopher are Image types which transform an Image type into a new type. So, they Index: sandbox/ballas/doc/draft.txt --- sandbox/ballas/doc/draft.txt (revision 1877) +++ sandbox/ballas/doc/draft.txt (working copy) @@ -246,9 +246,6 @@ property of the grid are useless. - - - * Property that we need? ** has(p) @@ -299,7 +296,7 @@ This function can be specialize for image/pset types that provide an access time in O(1). -In this case a method nsite will be present in the pset inteface: +In this case a method nsite will be present in the pset interface: return ima.pset().nsites(); So we need a pset property to define the complexity of accessing to the number @@ -345,7 +342,7 @@ regular grid). An gbox is composed by point2d. If the image is based on a grid, it can return a ibox. We can access to the image values through a couple (i, j). But each couple (i, j) doesn't represent -necessary a point2d (anystrope, unaligned grid...). +necessary a point2d (anisotropic, unaligned grid...). If the image localization is space, we can return a xbox (box which is not based on a grid). @@ -367,3 +364,7 @@ idea: boxed : true, false + +** pieceWise property + +see the image tours files.