+Early electronic document formats such as PostScript were motivated by a need to print documents onto a paper medium. In the PostScript standard, this lead to a model of the document as a program; a series of instructions to be executed by an interpreter which would result in ``ink'' being placed on ``pages'' of a fixed size\cite{plrm}. The ubiquitous Portable Document Format (PDF) standard provides many enhancements to PostScript taking into account desktop publishing requirements\cite{cheng2002portable}, but it is still fundamentally based on the same imaging model\cite{pdfref17}. This idea of a document as a static ``page'' has lead to limited precision in these and other traditional document formats.
+
+The emergence of the internet, web browsers, XML/HTML, JavaScript and related technologies has seen a revolution in the ways in which information can be presented digitally, and the PDF standard itself has begun to move beyond static text and figures\cite{hayes2012pixels, barnes2013embedding}. However, the popular document formats are still designed with the intention of showing information at either a single, fixed level of detail, or a small range of levels.
+
+As most digital display devices are smaller than physical paper medium, all useful viewers are able to ``zoom'' to a subset of the document. Vector graphics formats including PostScript and PDF support rasterisation at different zoom levels\cite{plrm, pdfref17}, but the use of fixed precision floating point numbers causes problems due to imprecision either far from the origin, or at a high level of detail\cite{goldberg1991whatevery, goldberg1992thedesign}.
+
+We are now seeing a widespread use of mobile computing devices with touch screens, where the display size is typically much smaller than paper pages and traditional computer monitors; it seems that there is much to be gained by breaking free of the restricted precision of traditional document formats.
+
+\section{Aim}
+
+In this project, we will explore the state of the art of current document formats including PDF, PostScript, SVG, HTML, and the limitations of each in terms of precision.
+We will consider designs for a document format allowing graphics primitives at an arbitrary level of zoom with no loss of detail. We will refer to such a document format as ``infinite precision''. A viewer and editor will be implemented as a proof of concept; we adopt a low level, ground up approach to designing this viewer so as to not become restricted by any single existing document format.
+
+There are many possible applications for documents in which precision is unlimited. Several areas of use include: visualisation of extremely large or infinite data sets; visualisation of high precision numerical computations; digital artwork; computer aided design; and maps.
+
+\subsection{Clarification of Terms}
+
+It may be necessary to clarify what we mean by the terms ``infinite precision'' and ``document formats''. Regarding the latter, we consider a document format to be any representation of visual information which is capable of being stored indefinitely. Regarding the former, we do not propose to be able to contain an infinite amount of information within such a document. The goal is to be able to render a primitive at the same level of detail it is specified by a document format, regardless of how precise this level is. For example, the precision of coordinates of primitives drawn in a graphical document editor will always be limited by the resolution of the display on which they are drawn, but not by the viewer.
+
+
+
+\section{Methods}
+
+Initial research and software development is being conducted in collaboration with David Gow\cite{proposalGow}. Once a simple testbed application has been developed, we will individually explore approaches for introducing arbitrary levels of precision; these approaches will be implemented as alternate versions of the same software. The focus will be on drawing simple primitives (lines, polygons, circles). However, if time permits we will explore adding more complicated primitives (font glyphs, bezier curves, embedded bitmaps).
+
+The process of rendering a document will be considered as a common area of research, whilst individual research will be conducted on means for allowing infinite precision.
+At this stage we have identified two possible areas for individual research: