Method and system for utilizing transformation matrices to process rasterized image data

摘要

A method and system render rasterized data by receiving non-rasterized page description language data and a corresponding transformation matrix representing transformation operations to be performed. The non-rasterized page description language data is rasterizing to create rasterized data. The corresponding transformation matrix is decomposed into a plurality of individual transformation operation matrices and a discrete transformation operation value, from each corresponding individual transformation operation matrix, is generated for each transformation operation to be performed upon the rasterized data. The transformation operations are performed upon the rasterized data based upon the generated discrete transformation operation values.

主权项

1. A method of controlling operations of a printing device, comprising:
receiving non-rasterized page description language data and a source transformation matrix representing source transformation operations, the source transformation operations being a source rotation transformation operation, a source scaling transformation operation, and a source translation transformation operation; rasterizing the non-rasterized page description language data; generating, from the source transformation matrix, a rotation value dependent scaling transformation matrix and a rotation value dependent translation transformation matrix; determining an order of transformation operations to be performed upon the rasterized data; creating a target transformation matrix by matrix multiplying the rotation value dependent scaling transformation matrix, the rotation value dependent translation transformation matrix, and the source rotation transformation operation in a matrix order corresponding to the determined order of transformation operations to be performed upon the rasterized data; decomposing the target transformation matrix into a rotation transformation operation matrix, a first scaling transformation operation matrix, and a translation transformation operation matrix; decomposing the first scaling transformation operation matrix into a shear transformation operation matrix and a second scaling transformation operation matrix; generating a discrete rotation transformation operation value from the rotation transformation operation matrix; generating a discrete scaling transformation operation value from the second scaling transformation operation matrix; generating a discrete translation transformation operation value from the translation transformation operation matrix; generating a discrete shear transformation operation value from the shear transformation operation matrix; and controlling operations of the printing device based upon the generated discrete transformation operation values; said controlling operations of the printing device including controlling an orientation of the recording medium, controlling a speed of a photosensitive medium for recording a latent image, and controlling a magnification of an illumination device for recording a latent image.