Geometric Transformations via Matrix Multiplications Using Hardware/Software Co-Design

Provided by: Advances in Computer Science : an International Journal (ACSIJ)
Topic: Hardware
Format: PDF
The standard methods of transformations of a geometric object in n-dimensional space are often expressed in the form of an n x n matrix multiplication by the an n x 1 column vector, where the n x n matrix and the vector represent the transformation and the point in the homogeneous coordinate system respectively. This enable the authors to represent a series of transformations in terms of a single composite transformation in the resulting product matrix of each sequent transformation through the matrix multiplications, where each individual matrix may be a translation, rotation, scaling or the combinations of all the above.

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