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| − | == Image Math ==
| + | Algorithm that adds, subtracts, multiplies, or divides an image by some user specified value. In addition, the square root, absolute value, or log of an image can be calculated. If the new image exceeds the range that can be stored in an image of that type, the data is either clipped and stored in the original image or a new image of a type (int, float...) that can store the range of new data is generated.<br /> |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 6pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> Algorithm that adds, subtracts, multiplies, or divides an image by some user specified value. In addition, the square root, absolute value, or log of an image can be calculated. If the new image exceeds the range that can be stored in an image of that type, the data is either clipped and stored in the original image or a new image of a type (int, float...) that can store the range of new data is generated.<br /></font></div>
| + | == Image types == |
| | + | You can apply Image Calculator to all 2D and 3D grayscale images. And here is the difference between Image Math and Image Calculator (refer to "Image Calculator"). The last one you can ally to all types of images 2D, 3D, 4D color and grayscale.<br /> |
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| − | <span style="font-style: normal; text-decoration: none; text-transform: none; vertical-align: baseline">'''<font color="#000000">See also:</font>'''</span> [MIPAV_Utilities.html#1207373 <nowiki>''Image Calculator''</nowiki>], Sections [MIPAV_Utilities.html#1176469 <nowiki>''clip mode''</nowiki>] and [MIPAV_Utilities.html#1176475 <nowiki>''promotion mode''</nowiki>] on [MIPAV_Utilities.html#1176475 page 438].
| + | == Applying the Image Math to images == |
| − | | + | |
| − | ==== image types ====
| + | |
| − | | + | |
| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 6pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> You can apply Image Calculator to all 2D and 3D grayscale images. And here is the difference between Image Math and Image Calculator (refer to [MIPAV_Utilities.html#1207373 "Image Calculator" on page 438]). The last one you can ally to all types of images 2D, 3D, 4D color and grayscale.<br /></font></div>
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| − | | + | |
| − | === Applying the Image Math to images ===
| + | |
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| | To run this algorithm, complete the following steps: | | To run this algorithm, complete the following steps: |
| | + | 1 Open an image of interest.<br /> |
| | + | 2 Select Utilities >Image Math. The dialog box opens. See Figure 39.<br /> |
| | + | 3 Use the Operator list box to select the math operator (Absolute value, Add, Average, etc.).<br /> |
| | + | 4 Use the Value text box to enter a numerical value.<br /> |
| | + | 5 Select the Clip option if you want to clamp result data to the bounds of the input image type. Select the Promote option to promote image type so that the range of the result fits into the new image type. Select the Convert to Float option to convert the result into float image type.<br /> |
| | + | 6 Click OK. The algorithm begins to run.<br /> |
| | + | 7 Depending on whether you selected New Image or Replace Image, the result appears in a new window or replaces the image to which the algorithm was applied. See also Figure 39.<br /> |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 18pt; margin-right: 0pt; margin-top: 6pt; text-align: left; text-decoration: none; text-indent: -18pt; text-transform: none; vertical-align: baseline"><font color="#000000"> 1 Open an image of interest.<br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 18pt; margin-right: 0pt; margin-top: 6pt; text-align: left; text-decoration: none; text-indent: -18pt; text-transform: none; vertical-align: baseline"><font color="#000000"> 2 Select Utilities >Image Math. The dialog box opens. See [MIPAV_Utilities.html#1177697 Figure 259].<br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 18pt; margin-right: 0pt; margin-top: 6pt; text-align: left; text-decoration: none; text-indent: -18pt; text-transform: none; vertical-align: baseline"><font color="#000000"> 3 Use the Operator list box to select the math operator (Absolute value, Add, Average, etc.).<br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 18pt; margin-right: 0pt; margin-top: 6pt; text-align: left; text-decoration: none; text-indent: -18pt; text-transform: none; vertical-align: baseline"><font color="#000000"> 4 Use the Value text box to enter a numerical value.<br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 18pt; margin-right: 0pt; margin-top: 6pt; text-align: left; text-decoration: none; text-indent: -18pt; text-transform: none; vertical-align: baseline"><font color="#000000"> 5 Select the Clip option if you want to clamp result data to the bounds of the input image type. Select the Promote option to promote image type so that the range of the result fits into the new image type. Select the Convert to Float option to convert the result into float image type.<br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 18pt; margin-right: 0pt; margin-top: 6pt; text-align: left; text-decoration: none; text-indent: -18pt; text-transform: none; vertical-align: baseline"><font color="#000000"> 6 Click OK. The algorithm begins to run.<br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 18pt; margin-right: 0pt; margin-top: 6pt; text-align: left; text-decoration: none; text-indent: -18pt; text-transform: none; vertical-align: baseline"><font color="#000000"> 7 Depending on whether you selected New Image or Replace Image, the result appears in a new window or replaces the image to which the algorithm was applied. See also [MIPAV_Utilities.html#1177697 Figure 259].<br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000">
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| | {| border="1" cellpadding="5" | | {| border="1" cellpadding="5" |
| − | |+ | + | |+ '''Figure 39. The Image Math dialog box options ''' |
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| | <div class="CellBody">Enter the numerical value here. Note that the text box become available after you select the math operator.</div> | | <div class="CellBody">Enter the numerical value here. Note that the text box become available after you select the math operator.</div> |
| | | rowspan="3" colspan="1" | | | | rowspan="3" colspan="1" | |
| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> Â <br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> Â <br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> Â <br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> Â <br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> Â <br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> Â <br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> Â <br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> Â <br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> Â <br /></font></div><div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathDialogBox.jpg]] | | [[Image:ImageMathDialogBox.jpg]] |
| − | |}<br clear="all" /><br /></font></div>
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| − | <div class="CellHeading">Â </div> | + | <div class="CellHeading"> </div> |
| | | rowspan="1" colspan="2" | | | | rowspan="1" colspan="2" | |
| − | <div class="CellBody">See also [MIPAV_Utilities.html#1176469 "clip mode" on page 438].</div> | + | <div class="CellBody">See also "clip mode".</div> |
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| | <div class="CellHeading">Promote image type</div> | | <div class="CellHeading">Promote image type</div> |
| | | rowspan="1" colspan="2" | | | | rowspan="1" colspan="2" | |
| − | <div class="CellBody">When this mode is selected and the result value is out of the legal range of the original image data type, then the result image type is promoted to a new data type with a data type range capable of expressing the minimum and maximum values. See also [MIPAV_Utilities.html#1176475 "promotion mode" on page 438].</div> | + | <div class="CellBody">When this mode is selected and the result value is out of the legal range of the original image data type, then the result image type is promoted to a new data type with a data type range capable of expressing the minimum and maximum values. See also "promotion mode".</div> |
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| | | rowspan="1" colspan="2" | | | | rowspan="1" colspan="2" | |
| | <div class="CellBody">Displays online help for this dialog box.</div> | | <div class="CellBody">Displays online help for this dialog box.</div> |
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| − | | rowspan="1" colspan="3" |
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| − | <div style="font-style: normal; margin-bottom: 3pt; margin-left: 0pt; margin-right: 0pt; margin-top: 9pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline">'''<font color="#000000"> Figure 259. The Image Math dialog box options <br /></font>'''</div>
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| | |} | | |} |
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| − | <br /></font></div>
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| | | | |
| | ==== Examples of using Image Math ==== | | ==== Examples of using Image Math ==== |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000">
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| | {| border="1" cellpadding="5" | | {| border="1" cellpadding="5" |
| − | |+ <div style="font-style: normal; margin-bottom: 3pt; margin-left: 0pt; margin-right: 0pt; margin-top: 9pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline">'''<font color="#000000"> Figure 260. Applying Image Math to images <br /></font>'''</div> | + | |+ '''Figure 40. Applying Image Math to images ''' |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathOriginal.jpg]] | | [[Image:ImageMathOriginal.jpg]] |
| − | |}<br clear="all" /><br /></font></div> <div class="CellBody">Original</div>
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathAbsoluteValue.jpg]] | | [[Image:ImageMathAbsoluteValue.jpg]] |
| − | |}<br clear="all" / ><br /></font></div> <div class="CellBody">Absolute value</div> | + | <br /><div class="CellBody">Absolute value</div> |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathAdd100.jpg]] | | [[Image:ImageMathAdd100.jpg]] |
| − | |}<br clear="all" / ><br /></font></div> <div class="CellBody">Add 100</div> | + | <br /><div class="CellBody">Add 100</div> |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathAverage.jpg]] | | [[Image:ImageMathAverage.jpg]] |
| − | |}<br clear="all" / ><br /></font></div> <div class="CellBody">Average</div> | + | <br /><div class="CellBody">Average</div> |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathConstantToVOI.jpg]] | | [[Image:ImageMathConstantToVOI.jpg]] |
| − | |}<br clear="all" / ><br /></font></div> <div class="CellBody">Constant</div> | + | <br /><div class="CellBody">Constant</div> |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathDivideBy100.jpg]] | | [[Image:ImageMathDivideBy100.jpg]] |
| − | |}<br clear="all" / ><br /></font></div> <div class="CellBody">Divide by 100</div> | + | <br /><div class="CellBody">Divide by 100</div> |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathLog.jpg]] | | [[Image:ImageMathLog.jpg]] |
| − | |}<br clear="all" / ><br /></font></div> <div class="CellBody">Log</div> | + | <br /> <div class="CellBody">Log</div> |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathMultilyBy5.jpg]] | | [[Image:ImageMathMultilyBy5.jpg]] |
| − | |}<br clear="all" / ><br /></font></div> <div class="CellBody">Multiply by 5</div> | + | <br /><div class="CellBody">Multiply by 5</div> |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathSamplesSquare.jpg]] | | [[Image:ImageMathSamplesSquare.jpg]] |
| − | |}<br clear="all" / ><br /></font></div> <div class="CellBody">Square</div> | + | <br /><div class="CellBody">Square</div> |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathSquareRoot.jpg]] | | [[Image:ImageMathSquareRoot.jpg]] |
| − | |}<br clear="all" / ><br /></font></div> <div class="CellBody">Square root</div> | + | <br /><div class="CellBody">Square root</div> |
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| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
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| | [[Image:ImageMathSubtract5.jpg]] | | [[Image:ImageMathSubtract5.jpg]] |
| − | |}<br clear="all" / ><br /></font></div> <div class="CellBody">Subtract 5</div> | + | <br /><div class="CellBody">Subtract 5</div> |
| − | |
| + | |
| − | <div style="font-style: normal; font-weight: normal; margin-bottom: 0pt; margin-left: 0pt; margin-right: 0pt; margin-top: 0pt; text-align: left; text-decoration: none; text-indent: 0pt; text-transform: none; vertical-align: baseline"><font color="#000000"> <br clear="all" />{| align="center"
| + | |
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| | [[Image:ImageMathSum.jpg]] | | [[Image:ImageMathSum.jpg]] |
| − | |}<br clear="all" / ><br /></font></div> <div class="CellBody">Sum</div> | + | <br /><div class="CellBody">Sum</div> |
| | |} | | |} |
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| − | <br /></font></div>
| + | == See also: == |
| | | | |
| | [[Inverting the image]] | | [[Inverting the image]] |
| | + | |
| | + | [[Category:Help]] |
Algorithm that adds, subtracts, multiplies, or divides an image by some user specified value. In addition, the square root, absolute value, or log of an image can be calculated. If the new image exceeds the range that can be stored in an image of that type, the data is either clipped and stored in the original image or a new image of a type (int, float...) that can store the range of new data is generated.
You can apply Image Calculator to all 2D and 3D grayscale images. And here is the difference between Image Math and Image Calculator (refer to "Image Calculator"). The last one you can ally to all types of images 2D, 3D, 4D color and grayscale.
To run this algorithm, complete the following steps:
1 Open an image of interest.
2 Select Utilities >Image Math. The dialog box opens. See Figure 39.
3 Use the Operator list box to select the math operator (Absolute value, Add, Average, etc.).
4 Use the Value text box to enter a numerical value.
5 Select the Clip option if you want to clamp result data to the bounds of the input image type. Select the Promote option to promote image type so that the range of the result fits into the new image type. Select the Convert to Float option to convert the result into float image type.
6 Click OK. The algorithm begins to run.
7 Depending on whether you selected New Image or Replace Image, the result appears in a new window or replaces the image to which the algorithm was applied. See also Figure 39.
