How do I map Spring MVC controller to a uri with and without trailing slash?

I have a Spring Controller with several RequestMappings for different URIs. My servlet is "ui". The servlet's base URI only works with a trailing slash. I would like my users to not have to enter the trailing slash.

This URI works:

http://localhost/myapp/ui/

This one does not:

http://localhost/myapp/ui

It gives me a HTTP Status 404 message.

The servlet and mapping from my web.xml are:

<servlet>
    <servlet-name>ui</servlet-name>
    <servlet-class>org.springframework.web.servlet.DispatcherServlet</servlet-class>
    <load-on-startup>1</load-on-startup>
</servlet>

<servlet-mapping>
    <servlet-name>ui</servlet-name>
    <url-pattern>/ui/*</url-pattern>
</servlet-mapping>    

My Controller:

@Controller
public class UiRootController {

    @RequestMapping(value={"","/"})
    public ModelAndView mainPage() { 
        DataModel model = initModel();
        model.setView("intro");     
        return new ModelAndView("main", "model", model);
    }

    @RequestMapping(value={"/other"})
    public ModelAndView otherPage() { 
        DataModel model = initModel();
        model.setView("otherPage");     
        return new ModelAndView("other", "model", model);
    }

}