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What is the Difference Between Pixel and Vector-Based Graphics?

Knowing what "Vector Images" are and what "Pixel or Bitmap Images" are is crucial to the world of printing and advertising. In computer graphics, a raster graphics image, or bitmap, is a dot matrix data structure representing a generally rectangular grid of pixels, or points of color, viewable via a monitor, paper, or other display medium. Some examples of file formats that are Raster-Based images: jpg, tiff, png, gif and bmp. These are all pixel file formats. In general, pictures are bitmapped and "spot" color portions may or may not be a vector. 
 Vector graphics is the use of geometrical primitives such as points, lines, curves, and shapes or polygon(s), which are all based on mathematical expressions, to represent images in computer graphics. "Vector", in this context, implies more than a straight line. Some examples of file formats that may be Vector-Based images: ai, eps, cdr and even some pdf. These files may be all vectors, all bitmap or a combination of both.
The advantage of a vector image is that its edges are clean and the image can be re-sized without a loss of quality. There are some tools in graphics programs that can outline a bitmapped image and create a corresponding vector. Their effectiveness and output quality are highly dependent on the quality of the source. A poor quality bitmapped image may require some significant manual cleanup to generate a vector. 
Bitmap and vector differences