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2  SYSTEM ARCHITECTURE 
The  architecture of web raster chart system (see  
Figure 1) comprises of chart tiles database, the raster 
chart  application server, web server  and  Internet 
explorer. The database, as its name shows, is used to 
store the chart tiles at the server side. All chart tiles 
in the database are well organized to accelerate the 
access speed. The function of raster chart application 
server is to accept certain  chart operation request 
from the web server,  select certain chart tiles from 
the database and  send the tiles back to the web 
server. The web server  accepts the user’s requests 
from the internet browser, balances  the load and 
manages the services, re-orientates the requests to 
the  raster chart  application server and accepts the 
chart tiles  from the raster chart application server, 
and then sends them back to the web browser at the 
user’s end in the PNG  format. The web browser 
accepts and uploads the user’s requests to the web 
server,  downloads the raster chart rendering 
programs (in javascript) and chart tiles, and then 
displays the accepted chart tiles to the user. 
??
??
Browser Browser
Web Server
Java Scripts,  JSPs
Application Server
Servlets
Chart Tile 
Database
HTTP
HTTP
 
Fig. 1. System Architecture 
3  CHART TILE DATABASE CONSTRUCTION 
The  chart tile database construction  is a process to 
create pre-rendered chart tiles from paper  charts or 
digital charts and to index them.  
Paper  charts  have been refined over many years 
and  give the mariner exactly  what they need for 
certain purposes. Because  of this, raster charts, 
scanned from  the original charts, should be  a good 
source  for  chart tile database.  The digital charts, 
which are widely used in ECDIS or ECS, are 
alternative sources as they can be displayed by ECDIS 
or ECS and the rendered image could be saved as 
raster charts.  
Due to the huge size of the raster charts (up to 
10,000px ×10,000px), they will overload the network 
when users access them. In this research, raster charts 
are split into numerous chart tiles, which usually have 
small size and are downloaded on necessary.  
This section will build a grid to split chart images 
into chart tiles, and then index them. 
3.1  Building Splitting Grid 
We suppose that at zoom level m, the earth surface is 
divided into a grid with 2
 m
×2 
m
 cells (or tiles). The 
value of m could be 0 or more. Obviously, the bigger 
m  is, the more tiles the globe is divided into (see 
Figure 2).  
In Figure 2, we suppose a tile have a size of   
256px×256px and the center point has a pixel 
coordinate of (0,0), then the pixel coordinate of any 
point (include the intersect points) on the grid can be 
easily determined. 
1
2
3 4
1
2
3
4
Zoom=1,4 tiles
Zoom=3,64 tiles
Zoom=2,16 tiles
1 tile = 
256  square pixels
X =  the number of 
horizontal tiles 
divided by 2
Y = the number of vertical  tiles  
divided by 2
 
Fig. 2. Splitting grid at different zoom level 
3.2  Coordinates Transformation 
To  facilitate  the splitting of the chart images, 
coordinate transformation equations between the 
above grid coordinates and geographical coordinates 
should be built. The coordinate transformation 
depends on the projection the source chart adopted. 
Since  Mercator  projection  (Richardus. &  Peter. 
1972.)  is widely used in nautical chart plotting, we 
only consider the Mercator chart image in this 
research for simplicity. 
To transform a geographical coordinate, i.e. (
ϕ,
 
λ
) 
into a plane rectangular  coordinate, i.e. (  x
 
, y
 
)  by 
Mercator projection, Equ.(1) and Equ.(2) are usually 
used.  
  (1) 
  (2) 
where  a  denotes the semi-major axis  of the 
ellipsoidal globe, e stands for the eccentricity of the 
ellipsoidal  globe, 
λ
 is  longitude  in  radians (positive 
east), and φ is latitude in radians (positive north). 
We assume the earth is a Krassowski-1940 
ellipsoidal globe (Moritz, H. 1990), so we can let e 
=0. 08181333. 
2
1 sin
ln tan
4 2 1 sin
e
e
ya
e
πϕ ϕ
ϕ
−
= +
+