Small changes, big git commit message

[ipdf/sam.git] / chapters / Introduction.tex

diff --git a/chapters/Introduction.tex b/chapters/Introduction.tex
index 31f8cda..6383224 100644 (file)
--- a/chapters/Introduction.tex
+++ b/chapters/Introduction.tex
@@ -7,7 +7,7 @@ Early electronic document formats such as PostScript were motivated by a need to
 
 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{goldberg91whatevery, goldberg1992thedesign}.
+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. 
 
@@ -34,7 +34,7 @@ At this stage we have identified two possible areas for individual research:
        We plan to investigate the representation of real values to a high or arbitary degree of precision. Such representations would allow for a document to be implemented
        using a single global coordinate system. However, we would expect a decrease in performance with increased complexity of the data structure used to represent a real value. \rephrase{Both software and hardware techniques will be explored.} We will also consider the limitations imposed by performing calculations on the GPU or CPU.
 
-       Starting points for research in this area are Priest's 1991 paper, ``Algorithms for Arbitrary Precision Floating Point Arithmetic''\cite{priest1991algorithms}, and Goldberg's 1992 paper ``The design of floating point data types''\cite{goldberg1992thedesign}. \rephrase{A more recent and comprehensive text book, ``Handbook of Floating Point Arithmetic''\cite{hfpa}, published in 2010, has also been identified as highly relevant.}
+       Starting points for research in this area are Priest's 1991 paper, ``Algorithms for Arbitrary Precision Floating Point Arithmetic''\cite{priest1991algorithms}, and Goldberg's 1992 paper ``The design of floating point data types''\cite{goldberg1992thedesign}. \rephrase{A more recent and comprehensive text book, ``Handbook of Floating Point Arithmetic''\cite{HFP}, published in 2010, has also been identified as highly relevant.}
 
        \item {\bf Local coordinate systems} --- David Gow \cite{proposalGow}