To find a substring of a linestring in postgis to be used in playback in map

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I have gps coordinates as point outside the linestring/road. I have interpolated to the closest point in the line using ST_Line_Interpolate_Point(). Now I need to draw line through these points and it must be through the road topology. But ST_MakeLine() simply draws lines through these points i.e it doesnot check the road topology/linestring. Initial Linestring and points --http://s13.postimg.org/5igm40l5j/image.jpg after using ST_MakeLine http://s10.postimg.org/48l1kl055/sss.jpg



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