I've also posted this an an answer to Views to use relative paths for image fields
Add your image to the view (mine is called Image2)
Create a theme file for your image field, see screenshot. (mine is called views-view-field--relative-url-example--page--field-image2.tpl.php and it's bolded). Pick the last one for the most granular themeing possible.
(full size here)
After you have added the theme file to your theme templates (/sites/all/themes/THEME/templates or similar), hit the "Rescan template files" button. Your field template should be bolded now.
Add the following code to your theme file, I removed the comments but you can leave them in if you like:
<?php
/**
* @file
* This template is used to print a single field in a view.
*
* It is not actually used in default Views, as this is registered as a theme
* function which has better performance. For single overrides, the template is
* perfectly okay.
*
* Variables available:
* - $view: The view object
* - $field: The field handler object that can process the input
* - $row: The raw SQL result that can be used
* - $output: The processed output that will normally be used.
*
* When fetching output from the $row, this construct should be used:
* $data = $row->{$field->field_alias}
*
* The above will guarantee that you'll always get the correct data,
* regardless of any changes in the aliasing that might happen if
* the view is modified.
*/
?>
<?php
$url = file_create_url($row->field_field_image2[0]["raw"]["uri"]);
$url = parse_url($url);
$path = $url['path'];
print $path;
?>
I only printed the path to demonstrate it works so you will need to add the image tag, etc.
Here is my output:
You may need to clear the cache and be sure to save your view after you update the theme file.