public class MyImageHandler : IHttpHandler
{
    RequestContext _requestContext;

    public MyImageHandler(RequestContext requestContext,
         // Other dependencies that the class needs
        )
    {
        _requestHandler = requestHandler;
        // Store other dependencies
    }

    public void ProcessRequest(HttpContext context)
    {
        ...
    }
}

public class GenericRouteHandler<T> : IRouteHandler
    where T : IHttpHandler
{
    public IHttpHandler(RequestContext requestContext)
    {
        return ObjectFactory.With(requestContext).GetInstance<T>();
    }
}

// Инициализация маршрута
RouteTable.Routes.Add(new Route("Image/{ImageID}", new GenericRouteHandler<MyImageHandler>()));