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About the centre of projection of a planar figure

$\begin{comments} The central projection of a planar figure has an interesting pr... ...times3}$ represent the figure-to-image homography \footnotemark . \end{comments}$

$\begin{comments} \includegraphics[scale=0.2]{image_square.eps} \end{comments}$

$\begin{comments} According to a (slightly modified) theorem stated by J.V. Ponce... ...ait\'{e} des Propri\'{e}t\'{e}s Projectives des Figures'' (1862): \end{comments}$

$\begin{theorem} \lq\lq \emph{A planar figure and its image under $\mathbf{H}_{o}$ \... ... circle in a plane which is perpendicular to this intersection}''. \end{theorem}$

$\begin{comments} What this theorem says is best explained by referring to the following animation. \end{comments}$

$\begin{comments} {\small$\textsf{CC}$ means \lq\lq camera centre'' and $\textsf{PP}... ...ection whose centre $\textsf{CC}$ is the vertex of the pencil.} \end{comments}$

$\begin{comments} {As is shown by the animation, if one rotates the image plane a... ...on line of the image plane with the \lq\lq true'' figure plane $\Pi$. \end{comments}$

Subsections

pierre 2002-06-29