@@ -27,6 +27,7 @@ hexsmoothR implements hexagonal grid-based spatial smoothing algorithms optimize
2727## Hexagonal Grid Advantages
2828
2929Hexagonal grids offer several technical advantages for spatial analysis:
30+
3031- Six neighbors per cell vs. four in square grids
3132- Eliminates diagonal artifacts and edge effects
3233- Improved packing efficiency and uniform cell shapes
@@ -35,6 +36,7 @@ Hexagonal grids offer several technical advantages for spatial analysis:
3536## Coastal Data Demonstration
3637
3738Coastal vegetation data demonstrates hexagonal smoothing effectiveness:
39+
3840- Complex, irregular shorelines challenging traditional grid methods
3941- Natural noise from water interference, cloud cover, and sensor issues
4042- Underlying environmental patterns suitable for spatial enhancement
@@ -43,6 +45,7 @@ Coastal vegetation data demonstrates hexagonal smoothing effectiveness:
4345## Workflow Overview
4446
4547The complete hexagonal smoothing workflow:
48+
46491 . Data preparation and validation
47502 . Hexagonal grid creation with appropriate cell sizing
48513 . Raster data extraction into hexagonal cells
@@ -59,6 +62,7 @@ The demonstration uses original Sentinel-2 data without artificial noise, demons
5962## Algorithm Implementation
6063
6164The hexagonal smoothing algorithm implements weighted neighbor averaging:
65+
6266- First-order neighbors: Directly adjacent hexagons
6367- Second-order neighbors: Neighbors of first-order neighbors
6468- Weighted averaging: Center cell and neighbors contribute according to specified weights
@@ -71,6 +75,7 @@ The following sections provide implementation examples and technical details for
7175### Coordinate Reference Systems (CRS)
7276
7377CRS selection affects hexagonal grid accuracy and cell sizing:
78+
7479- Projected CRS (UTM, State Plane): cell_size in meters
7580- Geographic CRS (WGS84, NAD83): cell_size in degrees
7681- Package handles CRS transformations automatically
@@ -206,6 +211,7 @@ Grid creation requires appropriate cell sizing and coordinate system selection.
206211### Cell Size and CRS Dependencies
207212
208213Cell size units depend on coordinate reference system:
214+
209215- Projected CRS (UTM, State Plane): cell_size in meters
210216- Geographic CRS (WGS84, NAD83): cell_size in degrees
211217
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