Penultimate draft

[ipdf/sam.git] / chapters / Background / Rendering / StraightLines.tex

diff --git a/chapters/Background/Rendering/StraightLines.tex b/chapters/Background/Rendering/StraightLines.tex
index a1a1393..69faa45 100644 (file)
--- a/chapters/Background/Rendering/StraightLines.tex
+++ b/chapters/Background/Rendering/StraightLines.tex
@@ -5,7 +5,7 @@ It is well known that in cartesian coordinates, a line between points $(x_1, y_1
        \text{ and } c = y_1 - m x_1
 \end{align}
 
-On a raster display, only points $(x,y)$ with integer coordinates can be displayed; however $m$ will generally not be an integer. Thus a straight forward use of Equation \ref{eqn_line} will require costly floating point operations and rounding (See Section\ref{Precision and Rounding}). Modifications based on computing steps $\Delta x$ and $\Delta y$ eliminate the multiplication but are still less than ideal in terms of performance\cite{computergraphics2}.
+On a raster display, only points $(x,y)$ with integer coordinates can be displayed; however $m$ will generally not be an integer. Thus a straight forward use of Equation \ref{eqn_line} will require floating point operations and therefore rounding (See Section \ref{Floating Point Number Representations}). Modifications based on computing steps $\Delta x$ and $\Delta y$ eliminate the multiplication but are still less than ideal in terms of performance\cite{computergraphics2}.
 
 It should be noted that algorithms for drawing lines can be based upon sampling $y(x)$ only if $|m| \leq 1$; otherwise sampling at every integer $x$ coordinate would leave gaps in the line because $\Delta y > 1$. Line drawing algorithms can be trivially adopted to sample $x(y)$ if $|m| > 1$.