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Changeset 3685 for trunk/doc/misc


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Timestamp:
Apr 8, 2005, 9:51:57 AM (21 years ago)
Author:
Paul Price
Message:

Small changes.

File:
1 edited

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  • trunk/doc/misc/imageCombination.tex

    r2794 r3685  
    1 %%% $Id: imageCombination.tex,v 1.1 2004-12-23 01:56:58 price Exp $
     1%%% $Id: imageCombination.tex,v 1.2 2005-04-08 19:51:57 price Exp $
    22\documentclass[panstarrs]{panstarrs}
    33
     
    185185coordinate system of the original input image.  Pixels in this
    186186transformed map that exceed a specified threshold (\code{frac}), and
    187 for which the local gradient exceeds another specified threshold
     187for which the local gradient is less than another specified threshold
    188188(\code{grad}) are masked as cosmic rays.  The impact of these maskings
    189189on the combined image is then propagated through the transformation
     
    215215We designate our implementation of the above algorithm ``STAC'', for
    216216Simultaneous Telescope Array Combination.  It is built on top of the
    217 \PS{} Library (currently \code{psLib} Release 3), making use of its
     217\PS{} Library (currently \code{psLib-rel5alpha1}), making use of its
    218218vectors, arrays, images, polynomial transformations, statistics and
    219219tracing functionalities.
     
    229229
    230230Given input images with no CRs (according to the first requirement
    231 above), STAC falsely identifies $580+479+57+483 = 1599$ pixels as CRs
    232 in the four individual $512\times512$ input images, or 0.15\% of the
    233 total number of input pixels.  This meets the requirement by almost an
    234 order of magnitude.  As an aside, the low number of false CRs
    235 identified in the third image appears to be due to the nearly integral
    236 pixel shift to the output coordinate system.
     231above), STAC falsely identifies $22+109+161+47 = 339$ pixels as CRs in
     232the four individual $512\times512$ input images, or 0.03\% of the
     233total number of input pixels.  This meets the requirement by over an
     234order of magnitude.
    237235
    238236Given input images with 2000~CRs (according to the second requirement
    239 above), STAC identifies $1580+1583+1273+1439 = 5875$ pixels as CRs in
    240 the four individual $512\times512$ input images, leaving 96 pixels in
     237above), STAC identifies $1692+1222+1256+1624 = 5794$ pixels as CRs in
     238the four individual $512\times512$ input images, leaving 29 pixels in
    241239the combined image exceeding 1.5~times the estimated standard
    242 deviation of the input images, or 0.04\% of the pixels in the output
    243 image.  This meets the requirement by a factor of 5.
     240deviation of the input images, or 0.01\% of the pixels in the output
     241image.  This meets the requirement by an order of magnitude.
    244242
    245243Since it meets both of the proposed requirements, STAC (modulo the
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