-What we will be doing and why.
-
-See also the Introduction.
-See also the Conclusion.
-
-\begin{itemize}
- \item Research into document formats is mostly focusing on embedding dynamic content in the document
- \item TODO: Desperately try to find research into increasing precision in documents
- \begin{itemize}
- \item I suspect the reason it is hard to find references saying ``We increased the precision you can get in this graphics format'' is because the real research is into ``how to get more precision out of a number'' and increasing the precision in a graphics format is just an application.
- \item Talk about why precision in itself is a good thing?
- \begin{itemize}
- \item Reduced error in computations
- \end{itemize}
- \item Somehow manage to link this to graphics formats.
- \begin{itemize}
- \item Increased precision means you can have more zoom, you can have more range
- \item This is useful because the view of a document as a sheet of paper is increasingly outdated
- \end{itemize}
- \item Precision in itself is necessary in order to address the document format issue.
- \end{itemize}
- \item In particular we are looking into increasing precision vs IEEE floats because:
- \begin{itemize}
- \item Such research is important in its own right; eg: Doing numerical calculations requires high accuracy results
- \end{itemize}
- \item
-\end{itemize}
-
-I guess what I am trying to say very badly is:
-
-We want to be able to do more things with documents.
-We are currently limited by the precision of floating point operations. This is a fundamental and physical limit on what can be done.
-
-Even things like postscript are already turing complete. All the fancy papers about putting dynamic content and javascript and things in documents
-are not addressing a physical limitation, merely one of convenience for the document creator.
-
-So it is worth looking into how we can reduce or eliminate the physical limitations on what can be done with a document due to floating point precision.
-
-
+\section*{Abstract}
+
+Early document formats such as PostScript were motivated by a desire to
+print text and visual information onto a static paper medium.
+Although documents are increasingly viewed digitally, modern standards
+including PDF and SVG are still largely based upon this model.
+Digital document viewers are able to scale a subregion of the document to
+fit the display. However, coordinates of graphics primitives are
+typically represented with IEEE-754 floating point numbers. This places
+limits on the precision with which primitives in the document can be
+specified and rendered.
+
+We have implemented a minimal SVG viewer, with which we have
+compared a number of approaches to achieving arbitrary precision
+document formats. We demonstrate the trade off between performance and
+precision with alternative number representations including arbitrary
+precision floats, rationals, and IEEE-754 fixed precision floats. We also
+consider approaches to increasing the precision that can be attained with
+IEEE-754 floats.
+
+{\bf Keywords:} \emph{document formats, precision, floating point, vector images, graphics, OpenGL, SDL2, PostScript, PDF, {\TeX}, SVG, HTML5, Javascript }
+
+{\bf Note:} This report is best viewed digitally as a PDF. The digital version is available at \\ \url{http://szmoore.net/ipdf/sam/thesis.pdf}
+
+{\bf Word Count: } 7620 (9335 with appendices)
+
+% Oh dear...
+\quad \\ \quad \\ \quad \\ \quad
git.ucc.asn.au / ipdf / sam.git / blobdiff
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