Reconstruction Forms

Systems used for image resynthesis

Re-synthesis of the central view

$$\left \{ \begin{array}{lcl} x^{\prime}& = & - \frac{x(\alpha_... ...e} + \alpha_3)} \end{array}\right . \mbox{($y$\space ignored)}$$

$$\left \{ \begin{array}{lcl} x^{\prime} & = & - \frac{y(\beta_... ...me} + \beta_3)} \end{array}\right . \mbox{($x$\space ignored)}$$

Re-synthesis of the first view

$$\left \{ \begin{array}{lcl} x & = & - \frac{x^{\prime}(\gamma... ...ma_3)} \end{array}\right . \mbox{($y^{\prime}$\space ignored)}$$

$$\left \{ \begin{array}{lcl} x & = & \frac{y^{\prime}(\theta_7... ...ta_3)} \end{array}\right . \mbox{($x^{\prime}$\space ignored)}$$

Using trilinear tensors notation

Re-synthesis of the central view

$$\left \{ \begin{array}{lcl} x^{\prime} & = & \frac{x(T_{31}^1... ...e} + T_{13}^3)} \end{array}\right . \mbox{($y$\space ignored)}$$

$$\left \{ \begin{array}{lcl} x^{\prime} & = & \frac{y(T_{31}^1... ...} + T_{23}^3)} \end{array}\right . \mbox{($x$\space ignored)}$$

Re-synthesis of the first view

$$\left \{ \begin{array}{lcl} x & = & \frac{x^{\prime}(T_{11}^3... ...}^1)} \end{array}\right . \mbox{($y^{\prime}$\space ignored)}$$

$$\left \{ \begin{array}{lcl} x & = & \frac{y^{\prime}(T_{11}^3... ...}^2)} \end{array}\right . \mbox{($x^{\prime}$\space ignored)}$$