By Clifford A Pickover
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Extra resources for Computers, pattern, chaos and beauty : graphics from an unseen world
In this case, each increase in level squares the number of pixels used to represent the entire Earth. A map client that uses discrete scales will allow the user to choose only the levels made available by the data. To calculate which tiles to retrieve, the client need only know the current zoom level, the tile index of the origin of the map view, and the number of tiles required to fill the map view. Notice that the map client need not know the geographic area of the map view. When the map client allows only discrete zoom levels, the state of the map may be stored using only a tile-based coordinate system rather than geographic one.
This is a practical consideration that must be made in the context of specific programming environments. Java, C, and many others store array data in row-major format . Iterating in this fashion can potentially greatly improve the performance of the algorithm due to the principle of Locality of Reference. 4 Simple Image Scaling: source and target images have the same geographic coordinates but different sizes. 1 for j in xrange ( t a r g e t h e i g h t ) : 2 for i in xrange ( t a r g e t w i d t h ) : 3 ( t x , t y ) = g e o l o c a t e ( t m i n x , t m i n y , tmaxx , tmaxy , i , j , t a r g e t w i d t h , target height ) 4 v a l = i n t e r p o l a t e ( s , sminx , sminy , smaxx , smaxy , s o u r c e w i d t h , s o u r c e h e i g h t , tx , t y ) 5 t [ j ] [ i ] = val Source Image smaxx, smaxy Target Image sminx, sminy Fig.
Both are open source. NET version is a full application, whereas the Java version is an SDK, intended for use in building custom map clients. Adding support for custom tile schemes is fairly simple in either. 8 Example Python map client which uses discrete zoom levels. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 import import import import Tkinter Image , ImageTk urllib2 cStringIO # r e q u i r e s t h e P y t h o n Im a g i n g L i b r a r y be i n s t a l l e d c l a s s SimpleNetworkTileSource : ’’’ This i s a simple t i l e data source c l a s s to a b s t r a c t the t i l e r e t r i e v a l p r o c e s s f r o m t h e r e s t o f t h e c l i e n t .