Changes between Version 4 and Version 5 of GridTopologies


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Timestamp:
Apr 16, 2013, 3:58:48 PM (12 years ago)
Author:
Piero Campalani
Comment:

partial update

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  • GridTopologies

    v4 v5  
    99
    1010Finally, we will assume that all the time series will be referenced by the daily-resolution (UoM=days ['''d''']) [http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date ANSI-Date] CRS along the temporal dimension, which (by default) has a '''`t`''' positive-onwards axis.
     11By default the ''composition order'' of spatiotemporal CRSs here is first space, then time; this however is not required at all.
    1112
    1213NB. The axes labels expressed in the geometric domain of a coverage are the labels of the '''coverage''' axes, which here will be labelled as increasing numbers `(0, 1, 2, ...)`, by default. Indeed, they are independent from the axes labels of its '''CRS''', which are instead used in the WCS ''!GetCoverage'' requests.
    … …  
    2627= Topologies Index =
    2728
    28 Due to the high number of possible cases, hereinafter we propose a first main table for global view.[[BR]]
     29Due to the high number of possible cases, hereinafter we propose a first main table for global view which puts purely-spatial types of topology per row, which can then be repeated, or evolve, in time with or without regular time steps (columns).[[BR]]
    2930Each cell then links to a dedicated subsection with the GML descriptions (assume default namespace is "`gml`").
    3031
    3132[[span(In the 1D case, it is also clear how the gridded coverages can cover datasets which are not usually associated with the concept of ''grids'' (e.g. trajectories), style=color: Black; font-size: 80%)]]
    3233
    33 || '''d''' || || '''Description''' || '''Dim''' || '''SO''' || '''RTS''' || '''ITS''' || '''MRTS''' || '''MITS''' ||
     34|| '''id''' || || '''description''' || '''dim''' || '''SO''' || '''RTS''' || '''ITS''' || '''MRTS''' || '''MITS''' ||
    3435|| [#Case1 1] || || Temporal series of data with no spatial reference || 1D || [#a1-SO link ] || [#a1-RTS link ] || [#a1-ITS link ] || --- || --- ||
    35 || [#Case2 2] || || Point measurements (''with'' spatial reference) on a straight line || 1D ||
     36|| [#Case2 2] || || Point measurements (''with'' spatial reference) on a straight line ... || 1D ||
    3637|||| [#Case2a 2a] || ... parallel to a CRS axis (2D space) || " || [#a2a-SO link ] || [#a2a-RTS link ] || [#a2a-ITS link ] || [#a2a-MRTS link ] || [#a2a-MITS link ] ||
    3738|||| [#Case2b 2b] || ... diagonal wrt CRS axes (in 2D space) || " || [#a2b-SO link ] || [#a2b-RTS link ] || [#a2b-ITS link ] || [#a2b-MRTS link ] || [#a2b-MITS link ] ||
    3839|||| [#Case2c 2c] || ... diagonal wrt CRS axes (in 3D space) || " || [#a2c-SO link ] || [#a2c-RTS link ] || [#a2c-ITS link ] || [#a2c-MRTS link ] || [#a2c-MITS link ] ||
    3940|||| [#Case2d 2d] || ... diagonal in 3D space with irregular spacing || " || [#a2d-SO link ] || [#a2d-RTS link ] || [#a2d-ITS link ] || [#a2d-MRTS link ] || [#a2d-MITS link ] ||
     41|| [#Case3 3] || || Point measurements (''with'' spatial reference) on a curvilinear line ... || 1D ||
     42|||| [#Case3a 3a] || ... in the 2D space || " || [#a3a-SO link ] || [#a3a-RTS link ] || [#a3a-ITS link ] || [#a3a-MRTS link ] || [#a3a-MITS link ] ||
     43|||| [#Case3b 3b] || ... in the 3D space || " || [#a3b-SO link ] || [#a3b-RTS link ] || [#a3b-ITS link ] || [#a3b-MRTS link ] || [#a3b-MITS link ] ||
     44|| [#Case4 4] || || Gridded geo-image in the 2D space ... || 2D ||
     45|||| [#Case4a 4a] || ... with regular spacing, aligned with CRS axes  || " || [#a4a-SO link ] || [#a4a-RTS link ] || [#a4a-ITS link ] || [#a4a-MRTS link ] || [#a4a-MITS link ] ||
     46|||| [#Case4b 4b] || ... with regular spacing, and rotation  || " || [#a4b-SO link ] || [#a4b-RTS link ] || [#a4b-ITS link ] || [#a4b-MRTS link ] || [#a4b-MITS link ] ||
     47|||| [#Case4c 4c] || ... with irregular spacing, and rotation  || " || [#a4c-SO link ] || [#a4c-RTS link ] || [#a4c-ITS link ] || [#a4c-MRTS link ] || [#a4c-MITS link ] ||
     48|||| [#Case4d 4d] || ... with curvilinear axes (warped grid) || " || [#a4d-SO link ] || [#a4d-RTS link ] || [#a4d-ITS link ] || [#a4d-MRTS link ] || [#a4d-MITS link ] ||
     49|| [#Case5 5] || || Gridded geo-image in the 3D space (oblique plane) ... || 2D ||
     50|||| [#Case5a 5a] || ... with regular spacing  || " || [#a5a-SO link ] || [#a5a-RTS link ] || [#a5a-ITS link ] || [#a5a-MRTS link ] || [#a5a-MITS link ] ||
     51|||| [#Case5b 5b] || ... with irregular spacing || " || [#a5b-SO link ] || [#a5b-RTS link ] || [#a5b-ITS link ] || [#a5b-MRTS link ] || [#a5b-MITS link ] ||
     52|||| [#Case5c 5c] || ... with curvilinear axes (warped grid)  || " || [#a5c-SO link ] || [#a5c-RTS link ] || [#a5c-ITS link ] || [#a5c-MRTS link ] || [#a5c-MITS link ] ||
    4053
    4154== Examples ==
    4255
    4356=== __Case 1__ ===
    44 '''1D TEMPORAL SERIES OF ASPATIAL DATA'''
     57'''1D TEMPORAL SERIES OF ASPATIAL DATA.'''
    4558
    4659This section covers time series of point observations with no spatial reference (or where the spatial reference was not considered relevant): in this case the only distinction is whether there is a regular time step between observations, or not. In its degenerate case, the series turns to a [#a1a single point].
    4760
    4861''(Attach a scan of the sketches here with all types in this subcategory?)''
    49 [#/1-SO]
    5062
    5163===== 1-SO =====
    … …  
    108120
    109121=== __Case 2__ ===
    110 '''1D SPATIAL OBSERVATIONS ON A STRAIGHT LINE'''
    111 
    112 Some text.
     122'''1D SPATIAL OBSERVATIONS ON A STRAIGHT LINE ...'''
     123
     124This section covers (time series of) point observations ''with'' spatial reference. In particular here we have a measurements which lie along a ''straight'' (and not curvilinear) line. Several sub-cases are covered, depending on the regular/irregular spacing between the points, the alignment of this line to one of the axes of the CRS, and the dimensionality of the encompassing space (i.e. the dimensionality of the CRS).
     125
     126''(Attach a scan of the sketches here with all types in this subcategory?)''
    113127
    114128==== Case 2a ====
    115 '''''... parallel to a CRS axis '''''
     129'''''... parallel to a CRS axis.'''''
    116130
    117131===== 2a-SO =====
    … …  
    137151
    138152==== Case 2b ====
    139 '''''... diagonal line, not parallel to a CRS axis'''''
     153'''''... diagonal line, not parallel to a CRS axis.'''''
    140154
    141155===== 2b-SO =====
    … …  
    160174
    161175==== Case 2c ====
    162 '''''... diagonal line in the 3D space'''''
     176'''''... diagonal line in the 3D geo-space.'''''
    163177
    164178===== 2c-SO =====
    … …  
    183197
    184198==== Case 2d ====
    185 '''''... along a diagonal line in the 3D space with irregular spacing'''''
     199'''''... along a diagonal line in the 3D geo-space with irregular spacing.'''''
    186200
    187201===== 2d-SO =====
    … …  
    204218
    205219[#TopologiesIndex Up ]
     220
     221----
     222
     223=== __Case 3__ ===
     224'''1D SPATIAL OBSERVATIONS ON A CURVILINEAR LINE ...'''
     225
     226This section covers (time series of) point observations ''with'' spatial reference. In particular here we have a measurements which lie along a ''curvilinear'' (and not straight) line. In this case, the only interesting distinction regards the dimensionality of the space (CRS) into which the points span.
     227
     228''(Attach a scan of the sketches here with all types in this subcategory?)''
     229
     230==== Case 3a ====
     231'''''... in the 2D geo-space.'''''
     232
     233===== 3a-SO =====
     234
     235[#TopologiesIndex Up ]
     236
     237===== 3a-RTS =====
     238
     239[#TopologiesIndex Up ]
     240
     241===== 3a-ITS =====
     242
     243[#TopologiesIndex Up ]
     244
     245===== 3a-MRTS =====
     246
     247[#TopologiesIndex Up ]
     248
     249===== 3a-MITS =====
     250
     251[#TopologiesIndex Up ]
     252
     253
     254==== Case 3b ====
     255'''''... '''''
     256
     257===== 3b-SO =====
     258
     259[#TopologiesIndex Up ]
     260
     261===== 3b-RTS =====
     262
     263[#TopologiesIndex Up ]
     264
     265===== 3b-ITS =====
     266
     267[#TopologiesIndex Up ]
     268
     269===== 3b-MRTS =====
     270
     271[#TopologiesIndex Up ]
     272
     273===== 3b-MITS =====
     274
     275[#TopologiesIndex Up ]
     276
     277----
     278
     279=== __Case 4__ ===
     280'''2D GRIDDED GEO-IMAGE IN THE 2D SPACE ...'''
     281
     282This section covers (time series of) 2D geo-images which only span a 2-dimensional space (CRS). They can have different geometric layouts, depending on the regularity of the retained grid shape, going from a simple aligned grid with regular pixel size, to a completely warped grid like for instance would be applied to a raw unrectified spaceborne/airborne image.
     283
     284''(Attach a scan of the sketches here with all types in this subcategory?)''
     285
     286==== Case 4a ====
     287'''''... with regular spacing, aligned with CRS axes.'''''
     288
     289===== 4a-SO =====
     290
     291[#TopologiesIndex Up ]
     292
     293===== 4a-RTS =====
     294
     295[#TopologiesIndex Up ]
     296
     297===== 4a-ITS =====
     298
     299[#TopologiesIndex Up ]
     300
     301===== 4a-MRTS =====
     302
     303[#TopologiesIndex Up ]
     304
     305===== 4a-MITS =====
     306
     307[#TopologiesIndex Up ]
     308
     309
     310==== Case 4b ====
     311'''''... with regular spacing, and rotation.'''''
     312
     313===== 4b-SO =====
     314
     315[#TopologiesIndex Up ]
     316
     317===== 4b-RTS =====
     318
     319[#TopologiesIndex Up ]
     320
     321===== 4b-ITS =====
     322
     323[#TopologiesIndex Up ]
     324
     325===== 4b-MRTS =====
     326
     327[#TopologiesIndex Up ]
     328
     329===== 4b-MITS =====
     330
     331[#TopologiesIndex Up ]
     332
     333==== Case 4c ====
     334'''''... with irregular spacing, and rotation.'''''
     335
     336===== 4c-SO =====
     337
     338[#TopologiesIndex Up ]
     339
     340===== 4c-RTS =====
     341
     342[#TopologiesIndex Up ]
     343
     344===== 4c-ITS =====
     345
     346[#TopologiesIndex Up ]
     347
     348===== 4c-MRTS =====
     349
     350[#TopologiesIndex Up ]
     351
     352===== 4c-MITS =====
     353
     354[#TopologiesIndex Up ]
     355
     356==== Case 4d ====
     357'''''... with curvilinear axes (warped grid).'''''
     358
     359===== 4d-SO =====
     360
     361[#TopologiesIndex Up ]
     362
     363===== 4d-RTS =====
     364
     365[#TopologiesIndex Up ]
     366
     367===== 4d-ITS =====
     368
     369[#TopologiesIndex Up ]
     370
     371===== 4d-MRTS =====
     372
     373[#TopologiesIndex Up ]
     374
     375===== 4d-MITS =====
     376
     377[#TopologiesIndex Up ]
     378
     379==== Case 4e ====
     380'''''... warped grid, and 2 (real+simulation) time axes'''''
     381
     382===== 4e-SO =====
     383
     384[#TopologiesIndex Up ]
     385
     386===== 4e-RTS =====
     387
     388[#TopologiesIndex Up ]
     389
     390===== 4e-ITS =====
     391
     392[#TopologiesIndex Up ]
     393
     394===== 4e-MRTS =====
     395
     396[#TopologiesIndex Up ]
     397
     398===== 4d-MITS =====
     399
     400[#TopologiesIndex Up ]
     401
     402----
     403
     404=== __Case 5__ ===
     405'''2D GRIDDED GEO-IMAGE IN THE 3D SPACE (oblique plane) ...'''
     406
     407This section covers (time series of) 2D geo-images which only span a 2-dimensional space (CRS). They can have different geometric layouts, depending on the regularity of the retained grid shape, going from a simple aligned grid with regular pixel size, to a completely warped grid like for instance would be applied to a raw unrectified spaceborne/airborne image.;;;;;;;;;;;;;;;;;;;;;;;;;
     408
     409''(Attach a scan of the sketches here with all types in this subcategory?)''
     410
     411==== Case 5a ====
     412'''''... with regular spacing.'''''
     413
     414===== 5a-SO =====
     415
     416[#TopologiesIndex Up ]
     417
     418===== 5a-RTS =====
     419
     420[#TopologiesIndex Up ]
     421
     422===== 5a-ITS =====
     423
     424[#TopologiesIndex Up ]
     425
     426===== 5a-MRTS =====
     427
     428[#TopologiesIndex Up ]
     429
     430===== 5a-MITS =====
     431
     432[#TopologiesIndex Up ]
     433
     434
     435==== Case 5b ====
     436'''''... with irregular spacing.'''''
     437
     438===== 4b-SO =====
     439
     440[#TopologiesIndex Up ]
     441
     442===== 5b-RTS =====
     443
     444[#TopologiesIndex Up ]
     445
     446===== 5b-ITS =====
     447
     448[#TopologiesIndex Up ]
     449
     450===== 5b-MRTS =====
     451
     452[#TopologiesIndex Up ]
     453
     454===== 5b-MITS =====
     455
     456[#TopologiesIndex Up ]
     457
     458==== Case 5c ====
     459'''''... with curvilinear axes (warped grid).'''''
     460
     461===== 5c-SO =====
     462
     463[#TopologiesIndex Up ]
     464
     465===== 5c-RTS =====
     466
     467[#TopologiesIndex Up ]
     468
     469===== 5c-ITS =====
     470
     471[#TopologiesIndex Up ]
     472
     473===== 5c-MRTS =====
     474
     475[#TopologiesIndex Up ]
     476
     477===== 5c-MITS =====
     478
     479[#TopologiesIndex Up ]
     480
     481----