A palace spokesman has compared the incident to the "worst excesses" of the paparazzi during the life of Diana, Princess of Wales, who died in a high-speed car chase in Paris in 1997 when being pursued by photographers.
"Their Royal Highnesses have been hugely saddened to learn that a French publication and a photographer have invaded their privacy in such a grotesque and totally unjustifiable manner," the statement read.
"The incident is reminiscent of the worst excesses of the press and paparazzi during the life of Diana, Princess of Wales, and all the more upsetting to The Duke and Duchess for being so."
It continued: "Their Royal Highnesses had every expectation of privacy in the remote house. It is unthinkable that anyone should take such photographs, let alone publish them.
"Officials acting on behalf of Their Royal Highnesses are consulting with lawyers to consider what options may be available to The Duke and Duchess."
Duchess of Cambridge on recent Far East tour - photo gallery:
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