A motorized flying machine of the drone type provided with a system for stabilizing the captured images, comprising: - a camera connected to the drone body, said camera comprising: • a hemispherical field lens of the fisheye type, and • a digital sensor collecting the image formed by the lens, the pixels of the image formed on the sensor, located inside a capture area, being captured to deliver raw pixel data; - a inertial unit, adapted to measure the Euler angles (φ, θ, ψ) describing the instantaneous attitude of the drone with respect to an absolute terrestrial system; - an extractor module, receiving as an input said raw pixel data of said capture area and delivering as an output pixel data of an image area of reduced size defined inside the capture area and corresponding to an angular sector captured by a conventional camera; and - an automatic control module (54, 56), receiving as an input angle values delivered by the inertial unit, and adapted to dynamically modify the position and the orientation of the image area inside the capture area, in a direction opposite to that of the changes of the values of the angles measured by the inertial unit, characterized in that: - the capture area has a size lower than that of the image formed by the lens of the sensor; - the sensor is an sensor able to operate according to a plurality of different configurations of operation, which can be dynamically selected during a same image capture sequence of the camera, said configurations of operation comprising: • a base configuration using a base capture area as a capture area, and • at least one degraded mode configuration using as a capture area an extended capture area of size higher than that of the base capture area, with application to the pixels of the extended capture area of a conversion processing adapted to reduce the size of the extended capture area to that of the base capture area, and - it is moreover provided a compensator module, receiving as an input successive values of roll angle (θ) of the drone, delivered by the inertial unit, and adapted to dynamically modify the current configuration of operation of the sensor in such a manner that the sensor operates: • according to the base configuration for roll angle values (θ) lower than a first limit, and • according to a degraded mode configuration for roll angle values (θ) higher than a second limit. - a camera connected to the drone body, said camera comprising: • a hemispherical field lens of the fisheye type, and • a digital sensor collecting the image formed by the lens, the pixels of the image formed on the sensor, located inside a capture area, being captured to deliver raw pixel data; • a hemispherical field lens of the fisheye type, and • a digital sensor collecting the image formed by the lens, the pixels of the image formed on the sensor, located inside a capture area, being captured to deliver raw pixel data; - a inertial unit, adapted to measure the Euler angles (φ, θ, ψ) describing the instantaneous attitude of the drone with respect to an absolute terrestrial system; - an extractor module, receiving as an input said raw pixel data of said capture area and delivering as an output pixel data of an image area of reduced size defined inside the capture area and corresponding to an angular sector captured by a conventional camera; and - an automatic control module (54, 56), receiving as an input angle values delivered by the inertial unit, and adapted to dynamically modify the position and the orientation of the image area inside the capture area, in a direction opposite to that of the changes of the values of the angles measured by the inertial unit, - the capture area has a size lower than that of the image formed by the lens of the sensor; - the sensor is an sensor able to operate according to a plurality of different configurations of operation, which can be dynamically selected during a same image capture sequence of the camera, said configurations of operation comprising: • a base configuration using a base capture area as a capture area, and • at least one degraded mode configuration using as a capture area an extended capture area of size higher than that of the base capture area, with application to the pixels of the extended capture area of a conversion processing adapted to reduce the size of the extended capture area to that of the base capture area, and • a base configuration using a base capture area as a capture area, and • at least one degraded mode configuration using as a capture area an extended capture area of size higher than that of the base capture area, with application to the pixels of the extended capture area of a conversion processing adapted to reduce the size of the extended capture area to that of the base capture area, and - it is moreover provided a compensator module, receiving as an input successive values of roll angle (θ) of the drone, delivered by the inertial unit, and adapted to dynamically modify the current configuration of operation of the sensor in such a manner that the sensor operates: • according to the base configuration for roll angle values (θ) lower than a first limit, and • according to a degraded mode configuration for roll angle values (θ) higher than a second limit. • according to the base configuration for roll angle values (θ) lower than a first limit, and • according to a degraded mode configuration for roll angle values (θ) higher than a second limit.