A rigid luggage comprising: - a box comprising a bottom and a peripheral strip extending from the bottom , the peripheral strip comprising a rear wall , a front wall and two side walls ; - a cover movably mounted on the rear wall at least about an axis of rotation (R), the cover being movable between a position folded on the box and a maximum opening position, the cover having a plurality of intermediate opening positions between the folded position and the maximum opening position in which an internal space of the box is accessible; - a video projection system for creating a light projection on an inner face of the cover from a digital image (IN), the video projection system comprising: - at least one video projector positioned in the peripheral strip and oriented towards the inner face of the cover in its opening positions; - means for determining in real time the position of the cover on the box ; - a processing unit controlling the video projector(s) , and being servo-controlled to the determination means , the processing unit comprising means for compensating a trapezoidal deformation of the light projection relative to the digital image (IN), the compensation means being parameterized to apply a trapezoidal distortion ratio to the digital image (IN) for each opening position of the cover . - a box comprising a bottom and a peripheral strip extending from the bottom , the peripheral strip comprising a rear wall , a front wall and two side walls ; - a cover movably mounted on the rear wall at least about an axis of rotation (R), the cover being movable between a position folded on the box and a maximum opening position, the cover having a plurality of intermediate opening positions between the folded position and the maximum opening position in which an internal space of the box is accessible; - a video projection system for creating a light projection on an inner face of the cover from a digital image (IN), the video projection system comprising: - at least one video projector positioned in the peripheral strip and oriented towards the inner face of the cover in its opening positions; - means for determining in real time the position of the cover on the box ; - a processing unit controlling the video projector(s) , and being servo-controlled to the determination means , the processing unit comprising means for compensating a trapezoidal deformation of the light projection relative to the digital image (IN), the compensation means being parameterized to apply a trapezoidal distortion ratio to the digital image (IN) for each opening position of the cover . - at least one video projector positioned in the peripheral strip and oriented towards the inner face of the cover in its opening positions; - means for determining in real time the position of the cover on the box ; - a processing unit controlling the video projector(s) , and being servo-controlled to the determination means , the processing unit comprising means for compensating a trapezoidal deformation of the light projection relative to the digital image (IN), the compensation means being parameterized to apply a trapezoidal distortion ratio to the digital image (IN) for each opening position of the cover . <EOS>