Notice: Undefined index: dependencies in features_export_components_json() (line 634 of features.admin.inc)

Looks like a problem with a specific type of component in your export. You'll need to give a more detailed step-by-step procedure for reproducing this.

I have encountered this warning as well when creating a Feature consisting of node content types.

Backtrace:

URL: /admin/structure/features/create
Notice: Undefined index: dependencies in features_export_components_json() (line 720 of features/features.admin.inc). =>
... (Array, 4 elements)
 3: features_export_components_json() (Array, 2 elements)
file (String, 49 characters ) sites/all/modules/features/features.admin.inc:720
args (Array, 1 element)
0 (String, 1 characters ) *
 2: call_user_func_array() (Array, 1 element)
args (Array, 2 elements)
0 (String, 31 characters ) features_export_components_json | (Callback) features_export_components_json();
1 (Array, 1 element)
0 (String, 1 characters ) *
 1: menu_execute_active_handler() (Array, 2 elements)
 0: main() (Array, 2 elements)

So it happens when creating a new Feature by actually going to /admin/structure/features/create

What I need to know is exactly what components you are trying to add to your new feature. The traceback above doesn't tell me anything except that there was a problem exporting whatever you selected to add to your feature. It doesn't tell me what you tried to export.

I had the same problem when trying to create a feature and not selecting any dependencies.
If I select a dependency first, and then select a view the view module will automatically be added to the feature dependencies and no notice is shown.
If I select the view first no dependencies are added and the following notice is shown after a refresh:

Notice: Undefined index: dependencies in features_export_components_json() (line 720 of /.../features/features.admin.inc).

I attached a small patch that fixed the problem for me.

Looks like a bug in the image module, or features implementation of that module, unrelated to the patch.
Trying 7.x-2.x-dev as the patch was also created on that version and patches on that version in other issues seem to validate.

#6: features-undefined-index-1945314-6.patch queued for re-testing.

On the dev version.

Here is a version with proper white-space added for Drupal coding standards.

Passing tests, so committed to 93ff6cd.