A method for displaying images on a head-mounted display device that is worn by an operator and that compensates for the operator's vestibulo-ocular reflex response, the method comprising the steps of: generating a first image and displaying the first image on the HMD display device, wherein the first image is conformal to an environment external to the operator and is based on a first head direction in x, y, z axes of the operator's head; sensing a rotational rate of the operator's head in x, y, z axes as the operator's head rotates to a second head direction in x, y, z axes that is different than the first head direction; based on the sensed rotational rate of the operator's head in x, y, z axes, estimating an angular motion of an eye of the operator, wherein the step of estimating comprises, using an eye angular VOR motion prediction mathematical model, generating a predicted eye position with VOR effects, wherein the eye angular VOR motion prediction mathematical model uses as its inputs: a) the operator's head position defined in x, y, z axes, b) the sensed rotational rate of the operator's head in x, y, z axes, and c) a tunable, numerical parameter for each of the axes that compensates for different VOR responses which vary from one operator to another operator, wherein the eye angular VOR motion prediction mathematical model operates on inputs a) - c) by applying a pseudo-inverse transfer function having a tunable time delay and a tunable forward gain, whereby the pseudo-inverse transfer function represents the human eye oculomotor mechanism and counter reflex during a head motion and wherein the eye angular VOR motion prediction mathematical model comprises a feedback controller having the eye position as a feedback signal to mitigate the drift of the eye position from the head position, and wherein the eye angular VOR motion prediction mathematical model produces as its output the predicted eye position in x, y, z axes, and wherein the predicted eye position is corrected by a delta eye position due to VOR; and generating a second, subsequent image, as part of a continuous stream of images, based on the corrected eye position, wherein the second, subsequent image is conformal to the environment external to the operator, and displaying the second, subsequent image on the HMD display device. generating a first image and displaying the first image on the HMD display device, wherein the first image is conformal to an environment external to the operator and is based on a first head direction in x, y, z axes of the operator's head; sensing a rotational rate of the operator's head in x, y, z axes as the operator's head rotates to a second head direction in x, y, z axes that is different than the first head direction; based on the sensed rotational rate of the operator's head in x, y, z axes, estimating an angular motion of an eye of the operator, wherein the step of estimating comprises, using an eye angular VOR motion prediction mathematical model, generating a predicted eye position with VOR effects, wherein the eye angular VOR motion prediction mathematical model uses as its inputs: a) the operator's head position defined in x, y, z axes, b) the sensed rotational rate of the operator's head in x, y, z axes, and c) a tunable, numerical parameter for each of the axes that compensates for different VOR responses which vary from one operator to another operator, wherein the eye angular VOR motion prediction mathematical model operates on inputs a) - c) by applying a pseudo-inverse transfer function having a tunable time delay and a tunable forward gain, whereby the pseudo-inverse transfer function represents the human eye oculomotor mechanism and counter reflex during a head motion and wherein the eye angular VOR motion prediction mathematical model comprises a feedback controller having the eye position as a feedback signal to mitigate the drift of the eye position from the head position, and wherein the eye angular VOR motion prediction mathematical model produces as its output the predicted eye position in x, y, z axes, and wherein the predicted eye position is corrected by a delta eye position due to VOR; and a) the operator's head position defined in x, y, z axes, b) the sensed rotational rate of the operator's head in x, y, z axes, and c) a tunable, numerical parameter for each of the axes that compensates for different VOR responses which vary from one operator to another operator, wherein the eye angular VOR motion prediction mathematical model operates on inputs a) - c) by applying a pseudo-inverse transfer function having a tunable time delay and a tunable forward gain, whereby the pseudo-inverse transfer function represents the human eye oculomotor mechanism and counter reflex during a head motion and wherein the eye angular VOR motion prediction mathematical model comprises a feedback controller having the eye position as a feedback signal to mitigate the drift of the eye position from the head position, and wherein the eye angular VOR motion prediction mathematical model produces as its output the predicted eye position in x, y, z axes, and wherein the predicted eye position is corrected by a delta eye position due to VOR; and generating a second, subsequent image, as part of a continuous stream of images, based on the corrected eye position, wherein the second, subsequent image is conformal to the environment external to the operator, and displaying the second, subsequent image on the HMD display device.