Abstract
A major goal in computer graphics is to create pictorial displays out of mathematical descriptions of images. This requires the creation (usually by the host computer) of a display file that is then sent to the graphic device. In vector graphics where the device expects commands such as “draw vector,” the contents of the display file are for the most part primitive instructions. In raster graphics, instructions such as “draw vector” are not primitive and they are translated by the device into pixel configurations in the refresh memory. Strictly speaking, most raster graphics devices do not have a display file. However, it is useful to think in terms of such a file, regardless of how the display device handles it. The creation of a display file is trivial for very simple displays but becomes quite challenging as the complexity of the desired display increases.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Relevant Literature
Fishback, W. T. Projective and Euclidean Geometry, New York: J. Wiley, 1969.
Guibas, L. J. and Yao, F. F. “On Translating a Set of Rectangles,” Proc. Twelfth ACM Symp. on Theory of Computing, Los Angeles, Calif., (April 1980), pp. 154–160.
Lehmann, C. H. Analytic Geometry, New York: J. Wiley, 1942. (12th printing, 1961.)
Maxwell, E. A. Plane Projective Geometry Based on the use of General Homogeneous Coordinates, Cambridge: University Press, 1957 (reprint of first edition of 1946).
Pedoe, D. An Introduction to Projective Geometry, New York: Mac-Millan, 1963.
Rosenbaum, R. A. Introduction to Projective Geometry and Modern Algebra, Reading, Mass: Addison-Wesley, 1963.
Todd, J. A. Projective and Analytic Geometry, New York: Pitman, 1948.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1982 Computer Science Press, Inc.
About this chapter
Cite this chapter
Pavlidis, T. (1982). The Mathematics of Two-Dimensional Graphics. In: Algorithms for Graphics and Image Processing. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93208-3_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-93208-3_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-93210-6
Online ISBN: 978-3-642-93208-3
eBook Packages: Springer Book Archive