{
 "version": "v3",
 "default_version": "v3",
 "pixel_frame": {
  "name": "DP mosaic pixels",
  "width": 27960,
  "height": 25464,
  "origin": "top-left",
  "R": 8,
  "origin100": [
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  "note": "Fixed frame. The s.28(4) mosaic (Nov 2015) uses the same frame as the s.26 mosaic (shift <= ~1-2 px). Any future change must publish an old->new pixel transform in docs/."
 },
 "method": "Affine fit of OpenStreetMap river centre-lines (Godavari, Nasardi, Waldi, Darna, Waghadi, Alandi) to the river centre-lines of the merged DP map: global search, then iterative closest point. Checked independently against the railway at Nashik Road, Mumbai Naka junction and the Ahilyabai Holkar bridge. Refined with a smooth local correction grid fitted to OpenStreetMap streets (see correction).",
 "osm_attribution": "Contains data from OpenStreetMap contributors (ODbL), used only to compute this alignment.",
 "local_projection": {
  "lat0": 19.95,
  "lon0": 73.8,
  "metres_per_deg_lon": 104606.58254588733,
  "metres_per_deg_lat": 110574,
  "formula": "e=(lon-lon0)*metres_per_deg_lon; s=-(lat-lat0)*metres_per_deg_lat"
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  "formula": "[x,y] = M[:,0:2] @ [e,s] + M[:,2]  (mosaic pixels, origin top-left)"
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 "metres_per_pixel": 0.8003,
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   11.9,
   9.5,
   6.8,
   4.4,
   2.5,
   1.1,
   0.3,
   -0.3,
   0.0,
   0.0,
   0.0,
   -0.1,
   -0.1,
   -0.1,
   -0.1,
   0.0,
   0.0,
   -0.3,
   -1.1,
   -2.9,
   -6.1,
   -10.9,
   -16.3,
   -20.7,
   -22.5,
   -20.7,
   -16.4,
   -11.6,
   -5.5,
   -0.6,
   2.8,
   5.7,
   11.5,
   21.5,
   30.7,
   36.0,
   37.7,
   36.1,
   32.7,
   29.9,
   28.9,
   27.3,
   25.8,
   24.1,
   22.1,
   18.7,
   14.4,
   9.7,
   5.7,
   2.8,
   1.1,
   0.1,
   -0.5,
   0.0,
   0.0,
   0.0,
   -0.1,
   -0.1,
   -0.1,
   -0.1,
   0.0,
   0.1,
   -0.3,
   -1.6,
   -4.6,
   -9.6,
   -16.4,
   -23.1,
   -28.4,
   -30.5,
   -25.1,
   -17.7,
   -10.8,
   -5.3,
   -0.6,
   2.9,
   3.4,
   5.1,
   10.6,
   23.0,
   36.6,
   43.5,
   43.4,
   38.8,
   35.5,
   37.6,
   38.8,
   37.8,
   35.2,
   31.5,
   26.1,
   19.6,
   12.7,
   6.9,
   3.1,
   1.0,
   -0.1,
   -0.7,
   0.0,
   0.0,
   0.0,
   0.0,
   0.0,
   0.0,
   0.2,
   0.3,
   0.3,
   -0.2,
   -2.0,
   -6.1,
   -13.1,
   -21.7,
   -29.0,
   -33.8,
   -34.1,
   -27.0,
   -17.9,
   -9.3,
   -3.0,
   0.9,
   2.7,
   2.1,
   2.2,
   6.8,
   21.0,
   38.8,
   47.8,
   48.2,
   41.8,
   36.9,
   43.1,
   49.5,
   50.0,
   46.7,
   41.4,
   33.7,
   24.8,
   15.6,
   8.1,
   3.3,
   0.8,
   -0.3,
   -1.0,
   0.0,
   0.0,
   0.1,
   0.2,
   0.4,
   0.7,
   1.0,
   1.2,
   1.1,
   0.2,
   -2.1,
   -7.0,
   -15.1,
   -24.8,
   -32.0,
   -35.2,
   -32.8,
   -26.3,
   -17.5,
   -8.0,
   -0.1,
   4.7,
   5.7,
   4.1,
   4.0,
   9.5,
   22.0,
   37.8,
   47.9,
   50.1,
   46.9,
   44.7,
   52.6,
   60.7,
   61.6,
   57.7,
   50.7,
   40.7,
   29.5,
   18.2,
   9.2,
   3.5,
   0.7,
   -0.5,
   -1.2,
   -0.1,
   0.1,
   0.4,
   0.9,
   1.5,
   2.2,
   2.9,
   3.0,
   2.5,
   1.1,
   -1.6,
   -6.7,
   -14.8,
   -24.0,
   -30.1,
   -32.6,
   -30.6,
   -25.7,
   -17.8,
   -7.6,
   2.6,
   9.8,
   10.9,
   8.1,
   6.3,
   11.7,
   21.9,
   35.1,
   46.5,
   52.5,
   54.9,
   57.7,
   63.0,
   67.4,
   68.6,
   65.3,
   57.8,
   46.6,
   33.6,
   20.4,
   10.0,
   3.7,
   0.6,
   -0.7,
   -1.3,
   -0.3,
   0.2,
   0.9,
   2.1,
   3.6,
   5.4,
   6.5,
   6.2,
   4.8,
   2.6,
   -0.6,
   -5.5,
   -12.4,
   -20.3,
   -26.3,
   -29.2,
   -28.9,
   -26.1,
   -19.9,
   -9.0,
   4.7,
   15.0,
   16.5,
   12.6,
   8.8,
   11.1,
   19.9,
   33.6,
   47.2,
   55.5,
   60.9,
   64.7,
   67.0,
   67.5,
   67.6,
   67.0,
   60.8,
   49.5,
   35.5,
   21.4,
   10.2,
   3.6,
   0.4,
   -0.8,
   -1.3,
   -0.6,
   0.4,
   1.9,
   4.1,
   7.2,
   10.4,
   12.0,
   10.6,
   8.0,
   4.6,
   0.7,
   -3.9,
   -9.8,
   -16.8,
   -22.9,
   -26.7,
   -27.9,
   -27.0,
   -22.9,
   -12.6,
   3.8,
   16.3,
   18.3,
   14.7,
   11.1,
   12.7,
   20.7,
   35.3,
   50.6,
   58.9,
   63.8,
   66.1,
   66.3,
   64.0,
   64.4,
   66.2,
   60.6,
   48.6,
   34.4,
   20.5,
   9.6,
   3.2,
   0.3,
   -0.8,
   -1.3,
   -0.8,
   0.8,
   3.3,
   7.2,
   12.5,
   17.3,
   19.1,
   16.6,
   11.5,
   6.8,
   2.6,
   -2.0,
   -7.5,
   -13.8,
   -19.8,
   -24.5,
   -26.6,
   -25.9,
   -22.8,
   -14.0,
   0.8,
   12.5,
   16.4,
   15.6,
   14.6,
   17.8,
   27.6,
   42.7,
   56.4,
   63.1,
   65.0,
   65.3,
   65.2,
   64.8,
   65.9,
   65.3,
   58.2,
   45.1,
   30.6,
   17.7,
   8.0,
   2.5,
   0.1,
   -0.8,
   -1.1,
   -1.1,
   1.4,
   5.1,
   11.0,
   18.7,
   25.6,
   27.5,
   23.4,
   15.3,
   10.0,
   5.6,
   1.1,
   -4.2,
   -10.3,
   -16.2,
   -20.7,
   -22.6,
   -20.9,
   -16.9,
   -10.4,
   1.4,
   12.1,
   17.9,
   19.8,
   21.2,
   26.6,
   38.8,
   54.3,
   64.7,
   67.5,
   65.9,
   64.9,
   66.4,
   69.8,
   70.5,
   65.4,
   55.0,
   40.1,
   25.5,
   13.8,
   5.8,
   1.6,
   -0.2,
   -0.7,
   -0.9,
   -1.2,
   2.1,
   7.0,
   14.6,
   24.4,
   33.7,
   35.7,
   31.3,
   23.4,
   16.2,
   11.3,
   6.6,
   1.3,
   -4.8,
   -10.7,
   -14.9,
   -15.6,
   -11.9,
   -5.6,
   -2.2,
   6.7,
   17.6,
   25.7,
   29.6,
   31.7,
   38.0,
   50.6,
   65.3,
   71.9,
   71.1,
   66.3,
   64.2,
   67.9,
   73.2,
   74.4,
   66.5,
   51.4,
   34.5,
   19.9,
   9.5,
   3.5,
   0.7,
   -0.4,
   -0.6,
   -0.6,
   -1.0,
   3.0,
   8.6,
   17.0,
   27.8,
   37.1,
   39.8,
   36.8,
   30.6,
   24.5,
   19.2,
   14.7,
   9.9,
   4.3,
   -1.7,
   -5.0,
   -3.8,
   1.6,
   7.2,
   10.0,
   17.1,
   28.8,
   37.9,
   41.6,
   43.6,
   49.9,
   60.1,
   70.8,
   73.8,
   71.3,
   65.5,
   63.2,
   68.8,
   75.9,
   77.6,
   67.1,
   48.1,
   28.8,
   14.5,
   5.9,
   1.6,
   -0.1,
   -0.5,
   -0.5,
   -0.4,
   -0.6,
   4.0,
   9.8,
   17.3,
   27.5,
   36.0,
   39.9,
   39.4,
   36.0,
   31.6,
   28.7,
   26.1,
   21.6,
   17.0,
   12.9,
   10.2,
   12.8,
   18.2,
   22.5,
   26.7,
   35.3,
   44.2,
   50.0,
   51.4,
   52.9,
   57.8,
   63.8,
   69.7,
   71.2,
   68.1,
   63.9,
   62.8,
   69.0,
   76.3,
   77.3,
   65.9,
   45.0,
   24.6,
   10.8,
   3.6,
   0.4,
   -0.5,
   -0.6,
   -0.5,
   -0.3,
   -0.2,
   4.8,
   10.8,
   17.8,
   25.7,
   32.9,
   37.8,
   40.3,
   41.2,
   41.8,
   42.7,
   42.7,
   40.4,
   37.7,
   34.7,
   31.9,
   34.4,
   38.6,
   42.5,
   48.1,
   54.6,
   59.7,
   61.6,
   60.3,
   59.1,
   60.7,
   63.2,
   69.8,
   68.9,
   65.3,
   62.7,
   63.4,
   68.9,
   73.7,
   72.4,
   61.5,
   41.7,
   22.3,
   9.3,
   2.6,
   -0.1,
   -0.8,
   -0.7,
   -0.5,
   -0.2,
   -0.1,
   5.0,
   10.8,
   16.7,
   23.0,
   29.2,
   35.0,
   40.7,
   47.3,
   54.2,
   60.1,
   63.9,
   63.9,
   61.6,
   58.9,
   57.9,
   58.8,
   59.6,
   62.5,
   66.8,
   68.1,
   69.3,
   69.1,
   65.6,
   61.5,
   61.1,
   62.4,
   64.7,
   64.6,
   62.5,
   62.0,
   64.5,
   69.1,
   71.7,
   68.3,
   56.9,
   39.7,
   22.2,
   9.7,
   2.9,
   0.0,
   -0.8,
   -0.7,
   -0.5,
   -0.2,
   -0.2,
   4.2,
   9.2,
   14.4,
   19.7,
   25.6,
   32.6,
   41.4,
   53.0,
   65.0,
   74.6,
   81.9,
   83.1,
   79.6,
   77.0,
   75.8,
   74.7,
   74.5,
   74.7,
   74.9,
   73.1,
   71.7,
   70.2,
   66.7,
   62.3,
   60.7,
   60.8,
   60.6,
   60.4,
   59.5,
   60.5,
   63.9,
   68.4,
   69.5,
   65.3,
   55.4,
   41.1,
   24.9,
   11.9,
   4.1,
   0.5,
   -0.6,
   -0.7,
   -0.5,
   -0.3,
   -0.5,
   2.8,
   6.8,
   11.4,
   16.2,
   22.1,
   30.4,
   41.6,
   55.2,
   69.7,
   81.6,
   89.0,
   91.0,
   87.2,
   83.2,
   80.3,
   79.5,
   79.3,
   77.2,
   74.1,
   70.9,
   68.2,
   66.5,
   64.3,
   61.6,
   59.8,
   58.3,
   56.1,
   54.7,
   55.1,
   56.7,
   60.8,
   65.8,
   66.5,
   62.9,
   55.6,
   45.1,
   29.3,
   15.3,
   6.1,
   1.5,
   -0.2,
   -0.6,
   -0.5,
   -0.3,
   -0.7,
   1.3,
   4.0,
   7.7,
   12.5,
   18.4,
   27.2,
   39.1,
   52.7,
   66.8,
   78.2,
   84.8,
   86.3,
   83.7,
   80.2,
   77.6,
   76.8,
   76.7,
   73.5,
   68.2,
   63.9,
   60.9,
   58.9,
   57.7,
   56.7,
   55.7,
   54.3,
   51.4,
   48.8,
   51.3,
   53.7,
   57.8,
   61.6,
   62.3,
   60.4,
   54.9,
   46.0,
   32.5,
   18.8,
   8.8,
   3.2,
   0.7,
   -0.1,
   -0.4,
   -0.4,
   -0.7,
   0.3,
   1.8,
   4.1,
   7.9,
   13.6,
   22.4,
   34.0,
   46.7,
   59.1,
   69.4,
   75.6,
   77.1,
   75.3,
   72.3,
   69.9,
   68.4,
   67.0,
   63.7,
   59.0,
   54.0,
   51.3,
   49.8,
   49.2,
   49.3,
   49.5,
   49.9,
   48.5,
   48.0,
   50.7,
   54.0,
   57.8,
   58.9,
   57.5,
   56.0,
   51.1,
   43.3,
   32.2,
   21.3,
   12.2,
   6.1,
   2.6,
   0.8,
   -0.1,
   -0.6,
   -0.7,
   -0.2,
   0.4,
   1.8,
   4.5,
   9.3,
   17.0,
   27.3,
   38.8,
   49.9,
   59.3,
   65.3,
   67.1,
   65.6,
   62.5,
   59.7,
   57.3,
   54.9,
   51.7,
   47.9,
   44.1,
   42.0,
   41.0,
   41.2,
   41.9,
   42.9,
   44.3,
   45.6,
   48.2,
   52.4,
   57.4,
   60.5,
   58.9,
   54.8,
   50.1,
   43.7,
   36.2,
   27.9,
   21.5,
   16.0,
   10.4,
   5.7,
   2.4,
   0.4,
   -0.8,
   -0.5,
   -0.4,
   -0.2,
   0.6,
   2.5,
   6.2,
   12.4,
   21.0,
   30.8,
   40.6,
   49.1,
   54.8,
   57.0,
   55.7,
   52.5,
   49.3,
   46.3,
   43.5,
   40.8,
   38.2,
   36.3,
   35.2,
   34.9,
   35.6,
   36.3,
   37.3,
   39.3,
   42.4,
   47.1,
   52.6,
   58.0,
   60.0,
   56.8,
   49.8,
   41.9,
   33.0,
   24.5,
   18.4,
   18.0,
   19.1,
   15.4,
   9.3,
   4.1,
   1.0,
   -0.9,
   -0.4,
   -0.4,
   -0.3,
   0.2,
   1.6,
   4.4,
   9.3,
   16.0,
   24.2,
   32.5,
   39.5,
   44.3,
   46.3,
   45.3,
   42.5,
   39.5,
   37.0,
   34.9,
   33.1,
   31.8,
   31.8,
   32.3,
   33.0,
   33.6,
   33.8,
   34.3,
   36.1,
   39.9,
   45.3,
   50.4,
   54.4,
   54.6,
   48.7,
   39.2,
   29.0,
   19.0,
   9.9,
   6.0,
   11.2,
   17.4,
   17.9,
   11.4,
   5.3,
   1.5,
   -0.8,
   -0.4,
   -0.4,
   -0.3,
   0.2,
   1.3,
   3.6,
   7.6,
   13.2,
   19.5,
   25.9,
   31.2,
   34.5,
   35.8,
   35.2,
   33.2,
   31.1,
   29.7,
   28.8,
   28.4,
   28.9,
   30.5,
   32.6,
   34.5,
   35.3,
   35.2,
   35.0,
   36.1,
   39.6,
   44.6,
   47.8,
   47.4,
   42.7,
   34.6,
   24.1,
   12.4,
   3.3,
   -3.3,
   -4.9,
   1.4,
   9.6,
   12.3,
   9.4,
   5.1,
   1.8,
   -0.4,
   -0.3,
   -0.3,
   -0.2,
   0.2,
   1.3,
   3.4,
   6.8,
   11.3,
   16.1,
   20.6,
   24.2,
   26.3,
   27.0,
   26.5,
   25.5,
   24.4,
   23.9,
   24.1,
   25.3,
   27.6,
   31.2,
   35.4,
   38.4,
   40.2,
   40.7,
   40.4,
   40.1,
   42.2,
   46.1,
   47.8,
   41.9,
   31.0,
   20.1,
   8.6,
   -1.8,
   -9.1,
   -12.0,
   -12.3,
   -8.2,
   -1.4,
   3.6,
   4.9,
   3.5,
   1.7,
   0.1,
   -0.3,
   -0.2,
   -0.1,
   0.3,
   1.3,
   3.3,
   6.2,
   9.7,
   13.2,
   16.6,
   19.0,
   20.2,
   20.2,
   19.7,
   19.2,
   19.0,
   19.5,
   20.9,
   23.3,
   27.0,
   31.8,
   37.4,
   42.0,
   45.3,
   47.1,
   47.0,
   43.3,
   43.6,
   46.7,
   47.5,
   39.2,
   25.0,
   11.7,
   0.3,
   -8.4,
   -12.6,
   -15.7,
   -18.3,
   -16.9,
   -10.2,
   -3.6,
   0.5,
   1.5,
   1.2,
   0.6,
   -0.2,
   -0.2,
   0.0,
   0.4,
   1.3,
   2.9,
   5.1,
   7.7,
   10.3,
   13.3,
   15.1,
   15.7,
   15.3,
   14.4,
   13.6,
   14.1,
   15.6,
   18.0,
   21.6,
   26.2,
   31.5,
   37.4,
   43.2,
   47.2,
   49.4,
   48.5,
   41.8,
   41.0,
   43.1,
   43.4,
   37.4,
   24.0,
   9.9,
   -1.1,
   -7.5,
   -9.6,
   -13.8,
   -19.3,
   -20.5,
   -14.0,
   -7.3,
   -2.4,
   -0.1,
   0.6,
   0.7,
   -0.2,
   -0.1,
   0.0,
   0.4,
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 "sheets_note": "v3: per-village-sheet affine (applied to the v2 pixel) plus optional residual grid. Readers that ignore `sheets` get v2. See versions.v3.formula and tools/geo/georef_v3.py.",
 "accuracy_m": {
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  "p90": 83,
  "note": "Checked against 44 independently picked road junctions (never used for fitting): median about 25 m, 90% within about 83 m. Weaker areas: Satpur MIDC about 100 m; Ambad, Pathardi and Wadala about 55-65 m; Manur and Dadhegaon have no road evidence and stay on v2. Not survey-grade: fine for finding your area and nearby plots, not for boundaries."
 },
 "versions": {
  "v1": {
   "description": "Affine only: OpenStreetMap river centre-lines fitted to the DP river skeleton (global search + ICP).",
   "accuracy_m": {
    "median": 14.5,
    "p90": 30.0,
    "note": "Against river centre-lines. Against OSM streets the median was ~16 m, with 40-70 m offsets in parts of the city centre (e.g. Mahatma Nagar)."
   },
   "formula": "lat/lon -> e,s (local_projection) -> [x,y] = M[:,0:2]@[e,s] + M[:,2]",
   "local_projection": {
    "lat0": 19.95,
    "lon0": 73.8,
    "metres_per_deg_lon": 104606.58254588733,
    "metres_per_deg_lat": 110574,
    "formula": "e=(lon-lon0)*metres_per_deg_lon; s=-(lat-lat0)*metres_per_deg_lat"
   },
   "metres_to_pixel": {
    "matrix": [
     [
      1.2385861423861193,
      0.10999306190004839,
      15573.473521060469
     ],
     [
      -0.1154765311679072,
      1.250307067818259,
      18689.806855928942
     ]
    ],
    "formula": "[x,y] = M[:,0:2] @ [e,s] + M[:,2]  (mosaic pixels, origin top-left)"
   },
   "pixel_to_metres_inverse_2x2": [
    [
     0.8008040452985742,
     -0.07044900504164685
    ],
    [
     0.07396108978066557,
     0.7932969578459863
    ]
   ],
   "map_rotation_deg": -5.33,
   "metres_per_pixel": 0.8003
  },
  "v2": {
   "description": "v1 affine plus a smooth correction grid fitted to OpenStreetMap streets vs DP road centre-lines.",
   "formula": "[x,y] = affine_v1(lat,lon) + bilinear(correction.dx, correction.dy at the affine pixel). Inverse: iterate u = p - corr(u) (4 iterations).",
   "accuracy_m": {
    "median": 10,
    "p90": 38,
    "note": "Superseded by v3. The 10 / 38 m figures measure each DP road pixel's distance to the nearest OpenStreetMap street with pixels beyond 60 m dropped, which hides whole-sheet shifts. On the 44-junction benchmark v2 is median 43 m, p90 153 m, and 150-210 m off in Ambad, Pathardi and Pimpalgaon Khamb."
   },
   "correction": {
    "x0": 0,
    "y0": 0,
    "step": 640,
    "nx": 45,
    "ny": 41,
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     67.3,
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     79.1,
     81.4,
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     77.6,
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     58.4,
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     44.8,
     48.8,
     52.3,
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     23.0,
     19.0,
     19.4,
     21.4,
     21.7,
     16.3,
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     23.2,
     20.3,
     18.2,
     16.3,
     15.1,
     14.3,
     13.5,
     11.9,
     9.5,
     6.8,
     4.4,
     2.5,
     1.1,
     0.3,
     -0.3,
     0.0,
     0.0,
     0.0,
     -0.1,
     -0.1,
     -0.1,
     -0.1,
     0.0,
     0.0,
     -0.3,
     -1.1,
     -2.9,
     -6.1,
     -10.9,
     -16.3,
     -20.7,
     -22.5,
     -20.7,
     -16.4,
     -11.6,
     -5.5,
     -0.6,
     2.8,
     5.7,
     11.5,
     21.5,
     30.7,
     36.0,
     37.7,
     36.1,
     32.7,
     29.9,
     28.9,
     27.3,
     25.8,
     24.1,
     22.1,
     18.7,
     14.4,
     9.7,
     5.7,
     2.8,
     1.1,
     0.1,
     -0.5,
     0.0,
     0.0,
     0.0,
     -0.1,
     -0.1,
     -0.1,
     -0.1,
     0.0,
     0.1,
     -0.3,
     -1.6,
     -4.6,
     -9.6,
     -16.4,
     -23.1,
     -28.4,
     -30.5,
     -25.1,
     -17.7,
     -10.8,
     -5.3,
     -0.6,
     2.9,
     3.4,
     5.1,
     10.6,
     23.0,
     36.6,
     43.5,
     43.4,
     38.8,
     35.5,
     37.6,
     38.8,
     37.8,
     35.2,
     31.5,
     26.1,
     19.6,
     12.7,
     6.9,
     3.1,
     1.0,
     -0.1,
     -0.7,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.0,
     0.2,
     0.3,
     0.3,
     -0.2,
     -2.0,
     -6.1,
     -13.1,
     -21.7,
     -29.0,
     -33.8,
     -34.1,
     -27.0,
     -17.9,
     -9.3,
     -3.0,
     0.9,
     2.7,
     2.1,
     2.2,
     6.8,
     21.0,
     38.8,
     47.8,
     48.2,
     41.8,
     36.9,
     43.1,
     49.5,
     50.0,
     46.7,
     41.4,
     33.7,
     24.8,
     15.6,
     8.1,
     3.3,
     0.8,
     -0.3,
     -1.0,
     0.0,
     0.0,
     0.1,
     0.2,
     0.4,
     0.7,
     1.0,
     1.2,
     1.1,
     0.2,
     -2.1,
     -7.0,
     -15.1,
     -24.8,
     -32.0,
     -35.2,
     -32.8,
     -26.3,
     -17.5,
     -8.0,
     -0.1,
     4.7,
     5.7,
     4.1,
     4.0,
     9.5,
     22.0,
     37.8,
     47.9,
     50.1,
     46.9,
     44.7,
     52.6,
     60.7,
     61.6,
     57.7,
     50.7,
     40.7,
     29.5,
     18.2,
     9.2,
     3.5,
     0.7,
     -0.5,
     -1.2,
     -0.1,
     0.1,
     0.4,
     0.9,
     1.5,
     2.2,
     2.9,
     3.0,
     2.5,
     1.1,
     -1.6,
     -6.7,
     -14.8,
     -24.0,
     -30.1,
     -32.6,
     -30.6,
     -25.7,
     -17.8,
     -7.6,
     2.6,
     9.8,
     10.9,
     8.1,
     6.3,
     11.7,
     21.9,
     35.1,
     46.5,
     52.5,
     54.9,
     57.7,
     63.0,
     67.4,
     68.6,
     65.3,
     57.8,
     46.6,
     33.6,
     20.4,
     10.0,
     3.7,
     0.6,
     -0.7,
     -1.3,
     -0.3,
     0.2,
     0.9,
     2.1,
     3.6,
     5.4,
     6.5,
     6.2,
     4.8,
     2.6,
     -0.6,
     -5.5,
     -12.4,
     -20.3,
     -26.3,
     -29.2,
     -28.9,
     -26.1,
     -19.9,
     -9.0,
     4.7,
     15.0,
     16.5,
     12.6,
     8.8,
     11.1,
     19.9,
     33.6,
     47.2,
     55.5,
     60.9,
     64.7,
     67.0,
     67.5,
     67.6,
     67.0,
     60.8,
     49.5,
     35.5,
     21.4,
     10.2,
     3.6,
     0.4,
     -0.8,
     -1.3,
     -0.6,
     0.4,
     1.9,
     4.1,
     7.2,
     10.4,
     12.0,
     10.6,
     8.0,
     4.6,
     0.7,
     -3.9,
     -9.8,
     -16.8,
     -22.9,
     -26.7,
     -27.9,
     -27.0,
     -22.9,
     -12.6,
     3.8,
     16.3,
     18.3,
     14.7,
     11.1,
     12.7,
     20.7,
     35.3,
     50.6,
     58.9,
     63.8,
     66.1,
     66.3,
     64.0,
     64.4,
     66.2,
     60.6,
     48.6,
     34.4,
     20.5,
     9.6,
     3.2,
     0.3,
     -0.8,
     -1.3,
     -0.8,
     0.8,
     3.3,
     7.2,
     12.5,
     17.3,
     19.1,
     16.6,
     11.5,
     6.8,
     2.6,
     -2.0,
     -7.5,
     -13.8,
     -19.8,
     -24.5,
     -26.6,
     -25.9,
     -22.8,
     -14.0,
     0.8,
     12.5,
     16.4,
     15.6,
     14.6,
     17.8,
     27.6,
     42.7,
     56.4,
     63.1,
     65.0,
     65.3,
     65.2,
     64.8,
     65.9,
     65.3,
     58.2,
     45.1,
     30.6,
     17.7,
     8.0,
     2.5,
     0.1,
     -0.8,
     -1.1,
     -1.1,
     1.4,
     5.1,
     11.0,
     18.7,
     25.6,
     27.5,
     23.4,
     15.3,
     10.0,
     5.6,
     1.1,
     -4.2,
     -10.3,
     -16.2,
     -20.7,
     -22.6,
     -20.9,
     -16.9,
     -10.4,
     1.4,
     12.1,
     17.9,
     19.8,
     21.2,
     26.6,
     38.8,
     54.3,
     64.7,
     67.5,
     65.9,
     64.9,
     66.4,
     69.8,
     70.5,
     65.4,
     55.0,
     40.1,
     25.5,
     13.8,
     5.8,
     1.6,
     -0.2,
     -0.7,
     -0.9,
     -1.2,
     2.1,
     7.0,
     14.6,
     24.4,
     33.7,
     35.7,
     31.3,
     23.4,
     16.2,
     11.3,
     6.6,
     1.3,
     -4.8,
     -10.7,
     -14.9,
     -15.6,
     -11.9,
     -5.6,
     -2.2,
     6.7,
     17.6,
     25.7,
     29.6,
     31.7,
     38.0,
     50.6,
     65.3,
     71.9,
     71.1,
     66.3,
     64.2,
     67.9,
     73.2,
     74.4,
     66.5,
     51.4,
     34.5,
     19.9,
     9.5,
     3.5,
     0.7,
     -0.4,
     -0.6,
     -0.6,
     -1.0,
     3.0,
     8.6,
     17.0,
     27.8,
     37.1,
     39.8,
     36.8,
     30.6,
     24.5,
     19.2,
     14.7,
     9.9,
     4.3,
     -1.7,
     -5.0,
     -3.8,
     1.6,
     7.2,
     10.0,
     17.1,
     28.8,
     37.9,
     41.6,
     43.6,
     49.9,
     60.1,
     70.8,
     73.8,
     71.3,
     65.5,
     63.2,
     68.8,
     75.9,
     77.6,
     67.1,
     48.1,
     28.8,
     14.5,
     5.9,
     1.6,
     -0.1,
     -0.5,
     -0.5,
     -0.4,
     -0.6,
     4.0,
     9.8,
     17.3,
     27.5,
     36.0,
     39.9,
     39.4,
     36.0,
     31.6,
     28.7,
     26.1,
     21.6,
     17.0,
     12.9,
     10.2,
     12.8,
     18.2,
     22.5,
     26.7,
     35.3,
     44.2,
     50.0,
     51.4,
     52.9,
     57.8,
     63.8,
     69.7,
     71.2,
     68.1,
     63.9,
     62.8,
     69.0,
     76.3,
     77.3,
     65.9,
     45.0,
     24.6,
     10.8,
     3.6,
     0.4,
     -0.5,
     -0.6,
     -0.5,
     -0.3,
     -0.2,
     4.8,
     10.8,
     17.8,
     25.7,
     32.9,
     37.8,
     40.3,
     41.2,
     41.8,
     42.7,
     42.7,
     40.4,
     37.7,
     34.7,
     31.9,
     34.4,
     38.6,
     42.5,
     48.1,
     54.6,
     59.7,
     61.6,
     60.3,
     59.1,
     60.7,
     63.2,
     69.8,
     68.9,
     65.3,
     62.7,
     63.4,
     68.9,
     73.7,
     72.4,
     61.5,
     41.7,
     22.3,
     9.3,
     2.6,
     -0.1,
     -0.8,
     -0.7,
     -0.5,
     -0.2,
     -0.1,
     5.0,
     10.8,
     16.7,
     23.0,
     29.2,
     35.0,
     40.7,
     47.3,
     54.2,
     60.1,
     63.9,
     63.9,
     61.6,
     58.9,
     57.9,
     58.8,
     59.6,
     62.5,
     66.8,
     68.1,
     69.3,
     69.1,
     65.6,
     61.5,
     61.1,
     62.4,
     64.7,
     64.6,
     62.5,
     62.0,
     64.5,
     69.1,
     71.7,
     68.3,
     56.9,
     39.7,
     22.2,
     9.7,
     2.9,
     0.0,
     -0.8,
     -0.7,
     -0.5,
     -0.2,
     -0.2,
     4.2,
     9.2,
     14.4,
     19.7,
     25.6,
     32.6,
     41.4,
     53.0,
     65.0,
     74.6,
     81.9,
     83.1,
     79.6,
     77.0,
     75.8,
     74.7,
     74.5,
     74.7,
     74.9,
     73.1,
     71.7,
     70.2,
     66.7,
     62.3,
     60.7,
     60.8,
     60.6,
     60.4,
     59.5,
     60.5,
     63.9,
     68.4,
     69.5,
     65.3,
     55.4,
     41.1,
     24.9,
     11.9,
     4.1,
     0.5,
     -0.6,
     -0.7,
     -0.5,
     -0.3,
     -0.5,
     2.8,
     6.8,
     11.4,
     16.2,
     22.1,
     30.4,
     41.6,
     55.2,
     69.7,
     81.6,
     89.0,
     91.0,
     87.2,
     83.2,
     80.3,
     79.5,
     79.3,
     77.2,
     74.1,
     70.9,
     68.2,
     66.5,
     64.3,
     61.6,
     59.8,
     58.3,
     56.1,
     54.7,
     55.1,
     56.7,
     60.8,
     65.8,
     66.5,
     62.9,
     55.6,
     45.1,
     29.3,
     15.3,
     6.1,
     1.5,
     -0.2,
     -0.6,
     -0.5,
     -0.3,
     -0.7,
     1.3,
     4.0,
     7.7,
     12.5,
     18.4,
     27.2,
     39.1,
     52.7,
     66.8,
     78.2,
     84.8,
     86.3,
     83.7,
     80.2,
     77.6,
     76.8,
     76.7,
     73.5,
     68.2,
     63.9,
     60.9,
     58.9,
     57.7,
     56.7,
     55.7,
     54.3,
     51.4,
     48.8,
     51.3,
     53.7,
     57.8,
     61.6,
     62.3,
     60.4,
     54.9,
     46.0,
     32.5,
     18.8,
     8.8,
     3.2,
     0.7,
     -0.1,
     -0.4,
     -0.4,
     -0.7,
     0.3,
     1.8,
     4.1,
     7.9,
     13.6,
     22.4,
     34.0,
     46.7,
     59.1,
     69.4,
     75.6,
     77.1,
     75.3,
     72.3,
     69.9,
     68.4,
     67.0,
     63.7,
     59.0,
     54.0,
     51.3,
     49.8,
     49.2,
     49.3,
     49.5,
     49.9,
     48.5,
     48.0,
     50.7,
     54.0,
     57.8,
     58.9,
     57.5,
     56.0,
     51.1,
     43.3,
     32.2,
     21.3,
     12.2,
     6.1,
     2.6,
     0.8,
     -0.1,
     -0.6,
     -0.7,
     -0.2,
     0.4,
     1.8,
     4.5,
     9.3,
     17.0,
     27.3,
     38.8,
     49.9,
     59.3,
     65.3,
     67.1,
     65.6,
     62.5,
     59.7,
     57.3,
     54.9,
     51.7,
     47.9,
     44.1,
     42.0,
     41.0,
     41.2,
     41.9,
     42.9,
     44.3,
     45.6,
     48.2,
     52.4,
     57.4,
     60.5,
     58.9,
     54.8,
     50.1,
     43.7,
     36.2,
     27.9,
     21.5,
     16.0,
     10.4,
     5.7,
     2.4,
     0.4,
     -0.8,
     -0.5,
     -0.4,
     -0.2,
     0.6,
     2.5,
     6.2,
     12.4,
     21.0,
     30.8,
     40.6,
     49.1,
     54.8,
     57.0,
     55.7,
     52.5,
     49.3,
     46.3,
     43.5,
     40.8,
     38.2,
     36.3,
     35.2,
     34.9,
     35.6,
     36.3,
     37.3,
     39.3,
     42.4,
     47.1,
     52.6,
     58.0,
     60.0,
     56.8,
     49.8,
     41.9,
     33.0,
     24.5,
     18.4,
     18.0,
     19.1,
     15.4,
     9.3,
     4.1,
     1.0,
     -0.9,
     -0.4,
     -0.4,
     -0.3,
     0.2,
     1.6,
     4.4,
     9.3,
     16.0,
     24.2,
     32.5,
     39.5,
     44.3,
     46.3,
     45.3,
     42.5,
     39.5,
     37.0,
     34.9,
     33.1,
     31.8,
     31.8,
     32.3,
     33.0,
     33.6,
     33.8,
     34.3,
     36.1,
     39.9,
     45.3,
     50.4,
     54.4,
     54.6,
     48.7,
     39.2,
     29.0,
     19.0,
     9.9,
     6.0,
     11.2,
     17.4,
     17.9,
     11.4,
     5.3,
     1.5,
     -0.8,
     -0.4,
     -0.4,
     -0.3,
     0.2,
     1.3,
     3.6,
     7.6,
     13.2,
     19.5,
     25.9,
     31.2,
     34.5,
     35.8,
     35.2,
     33.2,
     31.1,
     29.7,
     28.8,
     28.4,
     28.9,
     30.5,
     32.6,
     34.5,
     35.3,
     35.2,
     35.0,
     36.1,
     39.6,
     44.6,
     47.8,
     47.4,
     42.7,
     34.6,
     24.1,
     12.4,
     3.3,
     -3.3,
     -4.9,
     1.4,
     9.6,
     12.3,
     9.4,
     5.1,
     1.8,
     -0.4,
     -0.3,
     -0.3,
     -0.2,
     0.2,
     1.3,
     3.4,
     6.8,
     11.3,
     16.1,
     20.6,
     24.2,
     26.3,
     27.0,
     26.5,
     25.5,
     24.4,
     23.9,
     24.1,
     25.3,
     27.6,
     31.2,
     35.4,
     38.4,
     40.2,
     40.7,
     40.4,
     40.1,
     42.2,
     46.1,
     47.8,
     41.9,
     31.0,
     20.1,
     8.6,
     -1.8,
     -9.1,
     -12.0,
     -12.3,
     -8.2,
     -1.4,
     3.6,
     4.9,
     3.5,
     1.7,
     0.1,
     -0.3,
     -0.2,
     -0.1,
     0.3,
     1.3,
     3.3,
     6.2,
     9.7,
     13.2,
     16.6,
     19.0,
     20.2,
     20.2,
     19.7,
     19.2,
     19.0,
     19.5,
     20.9,
     23.3,
     27.0,
     31.8,
     37.4,
     42.0,
     45.3,
     47.1,
     47.0,
     43.3,
     43.6,
     46.7,
     47.5,
     39.2,
     25.0,
     11.7,
     0.3,
     -8.4,
     -12.6,
     -15.7,
     -18.3,
     -16.9,
     -10.2,
     -3.6,
     0.5,
     1.5,
     1.2,
     0.6,
     -0.2,
     -0.2,
     0.0,
     0.4,
     1.3,
     2.9,
     5.1,
     7.7,
     10.3,
     13.3,
     15.1,
     15.7,
     15.3,
     14.4,
     13.6,
     14.1,
     15.6,
     18.0,
     21.6,
     26.2,
     31.5,
     37.4,
     43.2,
     47.2,
     49.4,
     48.5,
     41.8,
     41.0,
     43.1,
     43.4,
     37.4,
     24.0,
     9.9,
     -1.1,
     -7.5,
     -9.6,
     -13.8,
     -19.3,
     -20.5,
     -14.0,
     -7.3,
     -2.4,
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    "method": "Smooth bilinear grid (mosaic px, indexed by affine px) fitted to OpenStreetMap streets: windowed cross-correlation of OSM street centre-lines against the DP road centre-lines (grey road bands, skeletonised) in 4 coarse-to-fine stages (1.5 km/\u00b1250 m down to 380 m/\u00b114 m windows), robust regularised least squares, decaying to 0 (pure affine) away from street evidence. tools/geo/refine_streets.py",
    "residual_m": {
     "metric": "dp_road_to_osm = DP road centre-line px -> nearest OSM street, over px with an OSM street within 60 m (includes DP drawing width and roads missing from OSM); heldout = 20% of OSM streets withheld from the fit -> nearest DP road",
     "before": {
      "dp_road_to_osm_median": 16.0,
      "dp_road_to_osm_p90": 48.6,
      "dp_within10": 0.369,
      "heldout_osm_to_dp_median": 22.4,
      "heldout_osm_to_dp_p90": 56.3,
      "heldout_within10": 0.258
     },
     "after": {
      "dp_road_to_osm_median": 9.6,
      "dp_road_to_osm_p90": 37.7,
      "dp_within10": 0.51,
      "heldout_osm_to_dp_median": 17.3,
      "heldout_osm_to_dp_p90": 49.2,
      "heldout_within10": 0.332
     },
     "crossval_disagreement_m": {
      "nodes": 82,
      "median_m": 14.6,
      "p90_m": 21.4
     },
     "places": {
      "Mahatma Nagar": {
       "before_median": 17.9,
       "after_median": 9.6,
       "shift_m": [
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        46.1
       ]
      },
      "Nashik Road station": {
       "before_median": 22.4,
       "after_median": 7.0,
       "shift_m": [
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        10.0
       ]
      },
      "CIDCO": {
       "before_median": 11.5,
       "after_median": 9.6,
       "shift_m": [
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        58.5
       ]
      },
      "Panchavati": {
       "before_median": 16.0,
       "after_median": 11.5,
       "shift_m": [
        50.8,
        28.3
       ]
      },
      "Adgaon": {
       "before_median": 24.3,
       "after_median": 7.0,
       "shift_m": [
        29.5,
        37.0
       ]
      },
      "Collector Office": {
       "before_median": 13.4,
       "after_median": 7.0,
       "shift_m": [
        58.3,
        25.9
       ]
      },
      "Mumbai Naka": {
       "before_median": 14.1,
       "after_median": 9.0,
       "shift_m": [
        60.4,
        56.4
       ]
      }
     }
    }
   }
  },
  "v3": {
   "description": "v2, then a separate affine per village sheet, then a small smooth residual grid inside each sheet that has enough road evidence. Fixes whole-sheet shifts of 100-240 m (Ambad, Pathardi, Wadala, Pimpalgaon Khamb, Chunchale, Kamathwade) that v2's single smooth grid could not follow across sheet seams.",
   "status": "default since 2026-10-06 (fitted 2026-10-05)",
   "formula": "b = v2(lat,lon) [mosaic px]; q = A_s @ [b,1] with A_s = sheets[s].affine; p = q + bilinear(sheets[s].grid at q) if the sheet has a grid. s = the sheet whose polygon in data/villages.json (first match in file order) contains q; points outside every sheet keep plain v2. Inverse: s = sheet at p (nearest polygon if none); iterate u = p - grid_s(u); b = A_s^-1 u; then the v2 inverse. Reference implementation: tools/geo/georef_v3.py.",
   "grid_format": "x0, y0, step (px), nx, ny; node (i,j) at (x0+i*step, y0+j*step); dx/dy row-major (index j*nx+i), mosaic px.",
   "method": "Per-sheet windowed cross-correlation of OpenStreetMap roads (main roads plus any road that already existed in the OSM history snapshot of 16 Nov 2015) against DP road fill (grey 191/186) and casings (grey 204), restricted to that sheet's pixels; four coarse-to-fine affine stages (800 m windows / +-250 m search down to 400 m / +-40 m), robust Huber weights, ridge on scale/rotation so sparse sheets fall back to a shift; then two residual-grid stages (640 px step). Sheets with fewer than 5 road windows also use river/stream centre-lines against the DP water fill. tools/geo/v3/.",
   "osm": "Overpass snapshots: current roads (osm_base 2026-10-05T03:29:48Z) and [date:\"2015-11-16T00:00:00Z\"] history; waterways. Contains data from OpenStreetMap contributors (ODbL).",
   "accuracy_m": {
    "junctions": {
     "metric": "Frozen benchmark of 44 hand-picked junctions on 19 sheets (nashik-dp-files/junction-benchmark), never used for fitting. Ground distance between the OSM junction and where v3 puts the same DP feature; every point counted.",
     "median": 24.6,
     "p90": 82.6,
     "max": 145.5,
     "v2_median": 42.8,
     "v2_p90": 152.6
    },
    "heldout_road_windows": {
     "metric": "5-fold spatial cross-validation (4 km blocks): translation that best aligns OSM roads to DP roads in each held-out 800 m window, +-300 m search, so a large shift can't hide; windows with a clear peak only.",
     "median": 19,
     "p90": 80,
     "v2_median": 18,
     "v2_p90": 169,
     "note": "v2 was fitted on all windows, so its numbers here are in-sample and flattering."
    },
    "note": "Typical error 10-30 m; up to ~60-100 m in Satpur MIDC, Ambad and Pathardi, where the drawing has few existing roads or draws them away from their true line. 04_Manur and 15_Dadhegaon have no usable evidence and equal v2."
   },
   "sheets": {
    "01_Makhamalabad": {
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     "fitted": true,
     "grid": {
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}