Kate Middleton was all smiles as she visited Middle Temple, along with Prince William, in her first public engagement in London since the royal couple's topless photographs scandal. The royal couple were on the recently concluded tour of the Far East and the Asia-Pacific region, when photographs from a private holiday in France were illegally published.

Catherine, the Duchess of Cambridge, wore a short Paule Ka skirt suit dress comprising a flared skirt and jacket, to visit the Middle Temple - one of the four Inns of Court. Kate looked radiant in her maroon coloured dress, which she wore over a black laced top.

The Duchess seemed to have already switched to the autumn/winter wardrobe. She wore black tights and a pair of black suede heels and, above all, the signature glossy blow-dry hairdo was back and it must have kept her warm.

Meanwhile, Prince William, the Duke of Cambridge, also looked to have recovered from the stress and tension of the topless scandal and seemed in good spirits, as he laughed and joked with his wife all the way through the visit. William's tie matched Kate's dress.

The royal couple was at the Middle Temple to launch a scholarship, in their name, for law students from less-privileged backgrounds or those with financial or physical disadvantages. Middle Temple already has scholarships named after other members of the royal family, including the Queen Mother and William's late mother, Diana, the Princess of Wales.

According to the official Web site, Diana's scholarship awards £5,000 annually to a candidate who is "specially deserving of financial assistance, whether because of serious disadvantage or for any other reasons that he or she may face or have faced in qualifying as a barrister".

The Duke and Duchess of Cambridge Scholarship will be similarly structured and allow deserving students the chance to pursue higher studies and qualify as practicing barristers.

Check out photographs of a fresh, smiling and happy Kate Middleton

Catherine, Duchess of Cambridge and Prince William visit Middle Temple in London October 8, 2012 in London.REUTERS/Chris Jackson
Catherine, Duchess of Cambridge and Prince William visit Middle Temple in London October 8, 2012 in London.REUTERS/Chris Jackson
Catherine, Duchess of Cambridge, visits Middle Temple in London October 8, 2012 in London.REUTERS/Chris Jackson
Kate Middleton gestures during a visit to Middle Temple in London.REUTERS/Chris Jackson
Kate Middleton and Prince William laugh as they sign the visitors book during a visit to Middle Temple in London.REUTERS/Chris Jackson