Use bellow code for store image in public Directory with resize image and image path store in database field.

   $input           = Input::all();
   $file            = array_get($input, 'image');
   $destinationPath = public_path('images');
   $fileName        = $request->image->getClientOriginalName();
   $imageResize     = Image::make($file->getRealPath())
                   ->resize(50,50,function($c){$c->aspectRatio(); $c->upsize();})->save($destinationPath.'/'.$fileName);  
   $filepath        = $destinationPath.'/'.$path;

   $insert = array('username' => Input::get('username'),
                   'image'    => $filepath,
                   );
    
    DB::table('users')->insert($insert);

Hope, this work for you.

Its not even entering into store function after user registers.I have used the existing RegisterController.php which comes in make:auth of laravel [app\Http\Controllers\Auth\RegisterControl‌​ler.php] and defined store function there. when user register in the form[register.blade.php], the action called is-> action="{{ route('register') }}".after the user clicks submit ,it enters into RegisterController to validate user information. My questions is whether we can write functions inside laravel auth\RegisterControl‌​ler.php. In Router.php :

  // Registration Routes...
        $this->get('register', 'Auth\RegisterController@showRegistrationForm')->name('register');
        $this->post('register', 'Auth\RegisterController@register');

if I add my store function, it doesn't execute.

So, I tried writing my store function inside \vendor\laravel\framework\src\Il‌​luminate\Foundation\‌​Auth\RegistersUsers.‌​php=>which uses trait RegistersUsers. 

The output in  http://localhost:8000/register/store ""Sorry, the page you are looking for could not be found.NotFoundHttpException in RouteCollection.php line 179:"

How to proceed further.