In this study, a personal use oriented and simplified geometrical transformation method for digital moving pictures is proposed. In the case of using a principle formula of geometrical transformation, a division included the formula interfere with high-speed transformation. First, in order to exclude the division, for each small range into which ranges of two variables of a partial function included the division are divided, the partial function is aproximated by a quadratic function of two variables, and then in order to simplify the approximation procedures, the two quadratic function is divided into two quadratic two degrees functions of one variable by the use of the future such that the transformation is executed along scanning of a CRT display. Second, a speeding up of the transformation is realized by approximating the second order derivatives of the fnctions of one variable and transforming the principle formula into recursive formulas by the use of only addition. According to experimental results, by the use of this simplified method, real time geometrical transformation of Low and Main level digital moving pictures can be performed within acceptable accuracy in personal use case.
