Rounded table corners CSS only

I have searched and searched, but haven't been able to find a solution for my requirement.

I have a plain ol' HTML table. I want round corners for it, without using images or JS, i.e. pure CSS only. Like this:

Rounded corners for corner cells, and 1px thick border for the cells.

So far I have this:

table {
  -moz-border-radius: 5px !important;
  border-collapse: collapse !important;
  border: none !important;
}
table th,
table td {
  border: none !important
}
table th:first-child {
  -moz-border-radius: 5px 0 0 0 !important;
}
table th:last-child {
  -moz-border-radius: 0 5px 0 0 !important;
}
table tr:last-child td:first-child {
  -moz-border-radius: 0 0 0 5px !important;
}
table tr:last-child td:last-child {
  -moz-border-radius: 0 0 5px 0 !important;
}
table tr:hover td {
  background-color: #ddd !important
}

But that leaves me without any borders for the cells. If I add borders, they aren't rounded!

Any solutions?

Seems to work fine in FF and Chrome (haven't tested any others) with separate borders: http://jsfiddle.net/7veZQ/3/

Edit: Here's a relatively clean implementation of your sketch:

table {
    border-collapse:separate;
    border:solid black 1px;
    border-radius:6px;
}

td, th {
    border-left:solid black 1px;
    border-top:solid black 1px;
}

th {
    background-color: blue;
    border-top: none;
}

td:first-child, th:first-child {
     border-left: none;
}

<table>
    <thead>
    <tr>
        <th>blah</th>
        <th>fwee</th>
        <th>spoon</th>
    </tr>
    </thead>
    <tr>
        <td>blah</td>
        <td>fwee</td>
        <td>spoon</td>
    </tr>
    <tr>
        <td>blah</td>
        <td>fwee</td>
        <td>spoon</td>
    </tr>
</table>

http://jsfiddle.net/MuZzz/3577/