A gaze-tracking system for use in a head-mounted display apparatus (102, 200, 300), the gaze-tracking system comprising: a plurality of illuminators; at least one camera; and at least one processor configured to: - illuminate the plurality of illuminators in a sequential manner, wherein a single illuminator is illuminated at a given instant of time; - control the at least one camera to capture a plurality of eye images of a user's eye (308, 310) during illumination of respective illuminators; - identify at least one reflection of a given illuminator that is visible in a corresponding eye image; - determine an extent of deformation in a shape of the at least one reflection with respect to a shape of the given illuminator; - determine an extent of displacement in a position of the at least one reflection relative to the user's eye as captured in the corresponding eye image with respect to a position of the given illuminator relative to the user's eye; - compute a user-specific score for the given illuminator based on the extent of deformation and the extent of displacement; - select at least one illuminator from amongst the plurality of illuminators based on user-specific scores computed for the plurality of illuminators; - illuminate the at least one illuminator; - control the at least one camera to capture an eye image of the user's eye during illumination of the at least one illuminator; and - detect a gaze direction of the user based upon a relative position of a pupil of the user's eye with respect to reflections of the at least one illuminator in the eye image. a plurality of illuminators; at least one camera; and at least one processor configured to: - illuminate the plurality of illuminators in a sequential manner, wherein a single illuminator is illuminated at a given instant of time; - control the at least one camera to capture a plurality of eye images of a user's eye (308, 310) during illumination of respective illuminators; - identify at least one reflection of a given illuminator that is visible in a corresponding eye image; - determine an extent of deformation in a shape of the at least one reflection with respect to a shape of the given illuminator; - determine an extent of displacement in a position of the at least one reflection relative to the user's eye as captured in the corresponding eye image with respect to a position of the given illuminator relative to the user's eye; - compute a user-specific score for the given illuminator based on the extent of deformation and the extent of displacement; - select at least one illuminator from amongst the plurality of illuminators based on user-specific scores computed for the plurality of illuminators; - illuminate the at least one illuminator; - control the at least one camera to capture an eye image of the user's eye during illumination of the at least one illuminator; and - detect a gaze direction of the user based upon a relative position of a pupil of the user's eye with respect to reflections of the at least one illuminator in the eye image. - illuminate the plurality of illuminators in a sequential manner, wherein a single illuminator is illuminated at a given instant of time; - control the at least one camera to capture a plurality of eye images of a user's eye (308, 310) during illumination of respective illuminators; - identify at least one reflection of a given illuminator that is visible in a corresponding eye image; - determine an extent of deformation in a shape of the at least one reflection with respect to a shape of the given illuminator; - determine an extent of displacement in a position of the at least one reflection relative to the user's eye as captured in the corresponding eye image with respect to a position of the given illuminator relative to the user's eye; - compute a user-specific score for the given illuminator based on the extent of deformation and the extent of displacement; - select at least one illuminator from amongst the plurality of illuminators based on user-specific scores computed for the plurality of illuminators; - illuminate the at least one illuminator; - control the at least one camera to capture an eye image of the user's eye during illumination of the at least one illuminator; and - detect a gaze direction of the user based upon a relative position of a pupil of the user's eye with respect to reflections of the at least one illuminator in the eye image.