+<img src="jotunheimen-band4.jpeg" width="40%">'
+<p clear="all">We decided to work on the grey scale version of the
+near infrared (band4). We changed the colour assignment to use this
+band for all three colours, giving us a gray scale image.</p>
+
+<img src="jotunheimen-band4-low3.jpeg" width="40%">'
+<p clear="all">We applied the 3x3 low pass filter on this image, and
+this gave us almost the same image as the original. If you look
+closely you can see that some white dots in the original disapper, and
+some of the water edges seem to blur very slightly.</p>
+
+<img src="jotunheimen-band4-high3.jpeg" width="40%">'
+<p clear="all">We also tried the 3x3 high pass filter on the band4
+grey scale image. This gave a very noisy image. Edges of vallies and
+ice are not well defined. The black waters are still obvious.</p>
+
+<img src="jotunheimen-band4-edge3.jpeg" width="40%">'
+<p clear="all">We also tried the 3x3 edge detection, and this gave us
+an image that makes it difficult to distinguish elevation features
+such as the valleys. Rather, edge detection allows us to study main
+features in an area like the lakes. (insert band4 edge 3 image)
+
+<img src="jotunheimen-band4-grad3.jpeg" width="40%">'
+<p clear="all">We tried a gradient filter using this 3x3 matrix. The
+matrix was chosen to make sure the sum of all the weights were zero,
+and to make sure the sum of horizontal, vertical and diagonal numbers
+were zero too.</p>
+
+<p><table align="center">
+ <tbody><tr><td>1</td><td>2</td><td>-1</td></tr>
+ <tr><td>2</td><td>0</td><td>-2</td></tr>
+ <tr><td>1</td><td>-2</td><td>-1</td></tr>
+</tbody></table></p>
+
+<p>The gradient filter used gave us enhancement on lines in the
+vertical, horizontal and diagonal directions. This is seen by the
+white lines that outline certain areas of main features like the
+rivers within the vallies and some of the lakes.</p>
+
+<img src="jotunheimen-band4-neg1.jpeg" width="40%">'
+<p>When we rework the matrix to equal negative one, we end up with a
+lot of noise in the image that also seems to blurr the image. Using a
+negative one matrix is not optimal if you are trying to obtain
+sharpness.</p>
+
+<p><table align="center">
+ <tbody><tr><td>-1</td><td>-1</td><td>-1</td></tr>
+ <tr><td>-1</td><td>7</td><td>-1</td></tr>
+ <tr><td>-1</td><td>-1</td><td>-1</td></tr>
+</tbody></table></p>
+
+<img src="jotunheimen-band4-plus1.jpeg" width="40%">'
+<p clear="all">We then tried with a 3x3 matrix were the sum of all
+values equals 1, to enhance the high frequency parts of the image.</p>
+
+<p><table align="center">
+ <tbody><tr><td>-1</td><td>-1</td><td>-1</td></tr>
+ <tr><td>-1</td><td>9</td><td>-1</td></tr>
+ <tr><td>-1</td><td>-1</td><td>-1</td></tr>
+</tbody></table></p>
+
+<p clear="all">This gave us a sharper looking image compared to the
+result of the negative 1 filter. This is not really obvious unless
+one is comparing the two images carefully. In order to see more
+differences the matrix sums would have to be more then plus/minus one.</p>
+
+<h2>References</h2>
+
+<ul>
+ <li><a href="http://www.cs.uu.nl/wais/html/na-dir/sci/Satellite-Imagery-FAQ/part3.html">Satellite-Imagery-FAQ</a>
+</li></ul>