<html xmlns:v="urn:schemas-microsoft-com:vml" xmlns:o="urn:schemas-microsoft-com:office:office" xmlns:w="urn:schemas-microsoft-com:office:word" xmlns:m="http://schemas.microsoft.com/office/2004/12/omml" xmlns="http://www.w3.org/TR/REC-html40"><head><meta http-equiv=Content-Type content="text/html; charset=us-ascii"><meta name=Generator content="Microsoft Word 12 (filtered medium)"><style><!--
/* Font Definitions */
@font-face
        {font-family:Calibri;
        panose-1:2 15 5 2 2 2 4 3 2 4;}
@font-face
        {font-family:"Malgun Gothic";
        panose-1:0 0 0 0 0 0 0 0 0 0;}
@font-face
        {font-family:"\@Malgun Gothic";}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
        {margin:0in;
        margin-bottom:.0001pt;
        font-size:11.0pt;
        font-family:"Calibri","sans-serif";}
a:link, span.MsoHyperlink
        {mso-style-priority:99;
        color:blue;
        text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
        {mso-style-priority:99;
        color:purple;
        text-decoration:underline;}
p.MsoListParagraph, li.MsoListParagraph, div.MsoListParagraph
        {mso-style-priority:34;
        margin-top:0in;
        margin-right:0in;
        margin-bottom:0in;
        margin-left:.5in;
        margin-bottom:.0001pt;
        font-size:11.0pt;
        font-family:"Calibri","sans-serif";}
span.EmailStyle17
        {mso-style-type:personal-compose;
        font-family:"Calibri","sans-serif";
        color:windowtext;}
.MsoChpDefault
        {mso-style-type:export-only;}
@page WordSection1
        {size:8.5in 11.0in;
        margin:1.0in 1.25in 1.0in 1.25in;}
div.WordSection1
        {page:WordSection1;}
/* List Definitions */
@list l0
        {mso-list-id:38475073;
        mso-list-type:hybrid;
        mso-list-template-ids:783703158 67698705 67698713 67698715 67698703 67698713 67698715 67698703 67698713 67698715;}
@list l0:level1
        {mso-level-text:"%1\)";
        mso-level-tab-stop:none;
        mso-level-number-position:left;
        text-indent:-.25in;}
ol
        {margin-bottom:0in;}
ul
        {margin-bottom:0in;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if gte mso 9]><xml>
<o:shapelayout v:ext="edit">
<o:idmap v:ext="edit" data="1" />
</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple><div class=WordSection1><p class=MsoNormal>Hello everyone,<o:p></o:p></p><p class=MsoNormal><o:p>&nbsp;</o:p></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif"'>I have two questions regarding ITK Gradient Magnitude Recursive Gaussian Image Filter:<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Arial","sans-serif"'><o:p>&nbsp;</o:p></span></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l0 level1 lfo1'><![if !supportLists]><span style='font-family:"Arial","sans-serif"'><span style='mso-list:Ignore'>1)<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-family:"Arial","sans-serif"'>In this filter, as far as we know, a <b><span style='color:#C00000'>finite difference approach</span></b> is used to calculate gradient magnitude of an image. My question is <b><span style='color:#C00000'>what formula is used</span></b> by the finite difference approach implemented in this filter?<o:p></o:p></span></p><p class=MsoListParagraph style='text-indent:-.25in;mso-list:l0 level1 lfo1'><![if !supportLists]><span style='font-family:"Arial","sans-serif"'><span style='mso-list:Ignore'>2)<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span></span><![endif]><span style='font-family:"Arial","sans-serif"'>The ITK Software Guide tells us that the computation process of this filter is equivalent to first <b><span style='color:#C00000'>smoothing the image </span></b>by convolving it with a Gaussian kernel and then applying a differential operator. My question is that is there a way to get <b><span style='color:#C00000'>an output of the smoothed image</span></b>? I want to visualize the computation process.<o:p></o:p></span></p><p class=MsoNormal><o:p>&nbsp;</o:p></p><p class=MsoNormal>If any of you have any idea regarding the two questions, it would be very appreciated if you share it with me. Thank you in advance.<o:p></o:p></p><p class=MsoNormal><o:p>&nbsp;</o:p></p><p class=MsoNormal>Best regards,<o:p></o:p></p><p class=MsoNormal>Yang<o:p></o:p></p></div></body></html>