Changeset 9786

Timestamp:

Oct 30, 2006, 11:54:44 AM (20 years ago)

Author:

eugene

Message:

updated ellipse rotations

Location:

trunk/doc/pslib

Files:

• ChangeLogADD.tex (modified) (1 diff)
• psLibSDRS.tex (modified) (5 diffs)

trunk/doc/pslib/ChangeLogADD.tex

@@ -69 +69 @@
 \item Clarifies the LM minimization coding, added gain-factor test description
 \end{itemize}
+
+\subsection{Changes from version 12 (11 July 2005) to present}
+
+\begin{itemize}
+\item Added complete derivation of rotated ellipse representations
+\end{itemize}

trunk/doc/pslib/psLibSDRS.tex

@@ -1 @@
-%%% $Id: psLibSDRS.tex,v 1.437 2006-10-24 22:29:53 price Exp $
+%%% $Id: psLibSDRS.tex,v 1.438 2006-10-30 21:54:44 eugene Exp $
 \documentclass[panstarrs,spec]{panstarrs}
 
@@ -3157 +3157 @@
 \code{psMetadataItem}s in the \code{in} metadata, and place them in
 the \code{out} metadata, or a new \code{psMetadata} if \code{out} is
-\code{NULL}.
+\code{NULL}.  If the \code{in} is NULL, an error shall be returned.
 
 The following function copies a single metadata item, specified by the
@@ -6698 +6698 @@
 representing three ways in which the elliptical shape is represented.
 Like the \code{psRegion}, these datatypes and their supporting
-functions do not use allocators.
+functions do not use allocators.  See the ADD Section 2.10 for the
+relationships between these representations.
 
 This structure represents an ellipse by its major and minor axis
-lengths and the orientation angle.
+lengths ($\sigma_a$, $\sigma_b$) and the orientation angle ($\theta$).
 \begin{datatype}
 typedef struct {
@@ -6711 +6712 @@
 
 This structure represents an elliptical Gaussian by the second moments
-measured for that Gaussian.  
+($M_{x,x}$, $M_{y,y}$, $M_{x,y}$) measured for that Gaussian.
 \begin{datatype}
 typedef struct {
@@ -6720 +6721 @@
 \end{datatype}
 
-This structure represents an ellipse by the components of the
-cartesian coordiante equation: $(s_x x)^2 + (s_y y)^2 + s_{x,y} x y =
-R$
+This structure represents a rotated ellipse by the components of the
+cartesian coordiante equation: $z = \frac{x^2}{2\sigma_x^2} +
+\frac{y^2}{2\sigma_y^2} + \sigma_{xy}xy$
 \begin{datatype}
 typedef struct {