the visual system is a well - developed sensory organ that involves effortless complex interaction between the visual organ and the brain . it involves physiological and a series of hierarchical neural processes from the photoreceptors , retinal ganglion cells , the lateral geniculate nuclei ( lgn ) of the thalamus , and the visual cortices . the american optometric association   identified that prolonged use of the visual system can result in inefficient visual processing functions generally called visual fatigue . in line with that , the american association of ophthalmologist ( aao ) diagnosed visual fatigue as an ophthalmological disease called asthenopia with the medical diagnostic code of icd-9 , 368.13 with the subclassifications shown in table 1 [ 3 , 4 ] . the last two digits of the medical code indicate the seriousness of the ophthalmological disease . the larger the last two digits , the more severe the symptoms of the disease . visual fatigue commonly arises when people view stereoscopic motion images . in a stereoscopic image , the viewer watches two images corresponding to the right and left eyes with convergence eye movement . based on individual characteristics and instrumentation issues , conflicts can occur between convergence or divergence eye movements and the accommodation function thus causing visual fatigue . one of the major problems with stereoscopic displays is that a stereoscopic display produces a mismatch between the focus ( accommodation distance ) and the fixation ( convergence distance ) of human eyes . thus , stereoscopic images may present different depth information to the accommodation and convergence functions . stereoscopic displays require that the viewer converges and accommodates at different depth planes , thus creating a conflict between the two visual mechanisms . this problem is common in 3d display systems such as head mounted displays ( hmds ) and displays that make use of a lenticular lens . imbalanced visual information may be one of the reasons for the visual load and eventually can cause the visual fatigue associated with 3d images . further , inoue and ohzu   noted that the common cause of visual fatigue in a stereoscopic display is the fact that 3d spaces generated by stereoscopic images are artificial spaces which are different from real spaces . as a result , the perceived images through 3d glasses do not really exist . .   showed that improvements of image quality , when a stereoscopic system is used , increase the discrepancy of accommodation and convergence and may cause increased visual fatigue . for example , in one of their experiments , kuze and ukai   had participants playing a video game using a stereoscopic hmd or monoscopic tv display and found significantly greater increases in subjective ratings of general discomfort , nausea , and headache after using the hmd compared to the increases observed with a conventional tv display . vertical alignment error is an upward or downward tilt in the optical axis of one image resulting in differences in vertical position of an image . rotational alignment error is a tilt in one of the images with the degree of alignment error increasing from the center . lastly , magnification difference is an error due to the size difference between the left and right stereo pairs from the field of view . firstly , these are errors in optics due to a shift in the image placement of the left and right stereo pairs . these optical errors are due to either a shift in rotation , a difference in magnification , or a difference in reduction . second , filtration errors in photometry caused by the difference in luminance , color , contrast , chromatic aberration , or crosstalk ( images switching back and forth between the eyes ) . the existing past studies have not explicitly addressed the issues of image alignment errors on the cerebral cortical responses and visual fatigue severity ratings . this study investigates the effect of prolonged use of stereoscopic display on visual fatigue and dorsolateral prefrontal cortex hemodynamic responses during visual display tasks . the intellectual contribution of this paper can be realized in ophthalmological disease etiology , optometry , vision science , and 3d devices and systems . specifically , the neuroimaging of the brain in relation to visual fatigue can yield rich neurophysiologic data to objectively and clinically classify and diagnose onsets of visual fatigue . this study included 21 males and 3 females recruited from north carolina agricultural and technical state university community . participants ' visual acuity and color blindness score were limited to 20/40 and 16 out of 22 points , respectively , and they were compensated for their participation . nec lt silver screen , nec lt 245 dlp projectors , nec lt 245 polaroid glasses , a 22 1.58  ghz 0.99  gb ram gateway dcdi desktop , a snellen chart , and a simulator sickness questionnaire ( ssq ) , a neurophysiological assessments , and an ophthalmological questionnaire . several software systems were used for the study . these were air traffic control interface model ( atcim ) , cognitive optical brain imaging studio ( cobi ) provided by fnirs devices llc ( 2010 ) for the fnirs . raw materials used included 70% isopropyl alcohol swabs , cotton squares , and astromed bandages . is comprised of four parts : nausea rating , oculomotor fatigue rating , disorientation rating , and a total score rating . it consists of thirty - two symptoms and for each symptom , a higher rating indicates that a participant experienced more symptoms . the symptoms are rated as none = 0 ; slight = 1 ; moderate = 2 ; and severe = 3 . fnirs is a brain imaging device for exploring brain responses to a variety of stimulated cognitive and physical tasks in the field of cognitive neuroscience . this device consists of an infrared light source with a wavelength range of 650850  nm into the head and a detector that receives light after it has interacted with the tissue . the emitted photons after interacting with head tissues undergo two types of interaction , namely , absorption ( loss of energy to the medium ) and scattering [ 1618 ] . researchers have shown that by placing the probes on a participant 's forehead , fnirs provides accurate measures of activities within the frontal lobe of the brain which are responsible for many high order cognitive functions , such as memory and problem solving . the light passing through the frontal tissues is sufficiently low to allow for tissue imaging at depths up to 2030  mm . deoxygenated ( hbb ) and oxygenated ( hbo2 ) hemoglobin are the main absorbers of near infrared light in tissues , and they provide relevant markers of hemodynamic and metabolic changes associated with neural activity in the brain . it is not possible to arrive at absolute values of concentration using fnirs imaging on living samples . once the hbb and hbo2 levels are computed , they are used to calculate the levels of oxygenation ( in m ) and values that may be approximately treated as percent changes in blood volume . the task stimulus is an air traffic control interface model ( atcim ) developed by wiyor   and designed with labview 8.1 . provided by national instrument . the simulated testbed provides a situation awareness ( sa ) environment similar to an atc task domain . the use of atcim as an atc simulator is specifically designed to allow for close experimenter control over display features and task performance , while providing a moderate degree of realism . in the atcim domain , an operator perceives and responds to aircraft conflict separation tasks which occur when two or more aircrafts are in self - separation violation . the separation violation is set to a loss of separation of 5  nm laterally or 500  ft . vertically or both conditions can occur simultaneously . the atcim is shown in figure 1 . the atcim system consists of two main interfaces , namely , the control setting interface and the dashboard interface . these are ( a ) two closest aircraft color identifications ; ( b ) a color status bar in which two mutually exclusive red and green colors appear with green for safe mode and red for crash mode ; ( c ) an alert distance control that allows the user to preset the minimum safe distance between two planes ; ( d ) a display time control which allows for the user to input the maximum time allowed for a participant to perceive and respond to a collision alert ; ( e ) a number of aircraft to monitor which allows the user to preselect the number of aircraft for the experiment ; ( f ) a collision alert used by the participants to respond before collision time ; and ( g ) an aircraft information - radii mode in which the plane path , latitude , longitude , speed , and bearing are displayed on the radii and move with the aircraft . this consists of a 5  nm ( nautical miles ) radius sector in which the number of aircrafts is selected to be monitored by the participants . based on the predetermined mode selected from the setting section , the required output will be shown in the dashboard section at each simulation run . it should be noted that a particular treatment replication is completed before moving to the next treatment . for example , if the randomization order is vertical shift , magnification difference , and rotational error , the vertical shift treatment will be replicated twice and each replication will last for 10 minutes , hence 20 minutes for vertical shift as atc1 , followed by magnification difference ; two replications as atc2 ; and lastly , the rotational error with two replications as atc3 . table 2 contains the information on the independent variable , levels , and measurement units for the experiment . the number of aircraft ran from low being 3 aircraft and high being 9 aircraft . task difficulty was characterized by separation conflicts labeled as vertical , horizontal , combined horizontal and vertical , and none , respectively . a high maneuver ( atc3 ) had a maximum number of nine aircraft ( high cognitive load ) with either combined horizontal and vertical or none for separation conflicts , and a low maneuver ( atc1 ) had 2 - 3 aircraft conflicts in the airspace . the independent variable was the stereoscopic alignment errors observed at three levels , namely , vertical shift , rotational error , and magnification difference . for the vertical shift , the focused images on the left and right retina were displaced by 0.5 ; the rotational error had the images displaced from each other in the left and right retina by 0.25 ; and for magnification difference , an error was caused by 6.25% enlargement in one image . the two response measures in the study were cerebral hemodynamic response and visual fatigue ratings . the cerebral hemodynamic responses were continuous variables measured with fnirs and visual fatigue symptoms were subjective ratings measured by ssq . the ophthalmological survey was used to ensure that the participants under 40 years had no optometric and/or ophthalmological symptoms . available studies have shown that after age 40 , most people experience the onset of ocular - motor problems , such as accommodations and convergence [ 22 , 23 ] . the national eye institute   estimates that , currently , more than 38 million americans age 40 and older experience blindness , low vision , or an age - related eye disease , such as age - related macular degeneration ( amd ) , glaucoma , diabetic retinopathy , or cataracts . in addition , a subjective neurological questionnaire was administered to participants for life styles and/or accidental damage that might affect the brain electrophysiological data . each participant was assigned an alphanumerical identification number instead of using their real names ; the same identification number was also assigned to a particular randomized experimental treatment in accordance with the irb protocol . the participants ' foreheads were cleaned with 70% isopropyl alcohol swab and air - dried for two minutes . the fnirs sensor pad was placed on the participant 's forehead and held in place by a head band . the participants were then seated about 120 inches in front of the 8  ft  6  ft silver screen as shown in figure 2 . they were then given ssq consisting of 32 symptoms to rate their perception of visual fatigue as none ( 0 ) , slight ( 1 ) , moderate ( 2 ) , and severe ( 3 ) . the participants proceeded to perform the atc task presented in alignment error labeled as atc1 . subsequently , they proceeded to perform the same atc task but with a different alignment error labeled as atc2 . lastly , the participants performed the atc task ( labeled atc3 ) under alignment errors , followed by ssq ratings . it should be noted that throughout the experiment participants were continuously asked if they were willing to continue the experiment . the tasks involve continuous monitoring where the participants visually scanned the display to detect any two or more self - separation violations . . however , if they detected no self - separation violations , no response was issued and after 20 seconds , the display refreshed itself to a new display . the self - separation violation was set to a loss of separation of 5  nmi laterally or 500  ft . vertically . after the completion of each session , participants were asked to rate their perception of visual fatigue . the participants were required to perform the experimental tasks as quickly and as accurately as possible . 45  mins , inclusive of irb briefing , visual acuity test , conducting the ophthalmological and neurological survey questionnaires , performing the experiments , and cleaning the participants and debriefing them . four ssq instruments were administered per participant after each experimental treatment labeled as batc , atc1 , atc2 , and atc3 . for analyses , the files were generated by conducting frequency tallying each participant 's responses for each experimental treatment . after obtaining the total number of responses per symptom per treatment , the total adjusted rating for each symptom was calculated as 
 ( 1)adjusted ratings for symptoms=n=03wnxnn=03xn , 
 where n = 0 , 1 , 2 , and 3 are the index counts for none , slight , moderate , and severe ssq ratings of visual fatigue for a particular symptom , wn is the total rating for xn , and xn has the values 
 ( 2)xn={x0=0;nonex1=1;slightx2=2;moderatex3=3;severe . the total weighted rating across all 32 symptoms per treatment was calculated as shown in : 
 ( 3)({(n=03wnxnn=03xn)}s1  + { ( n=03wnxnn=03xn)}s32)(n=24)1 , 
 where n is total number of participants ; s1 , s2 ,  , s32 represent the types of symptoms rated . an fnirs sensor pad was placed on the participant 's forehead specifically at the dorsolateral prefrontal cortex and held in place by a head band . the hemodynamic data was recorded using fnirs ( model : 1000 , fnir devices llc , md , usa ) at a sampling rate of 100  khz , a frame rate of 500  ms , and samples per voxels of 25 . the data acquisition settings included an led drive current of 10  ma , an analog - to - digital ( a / d ) gain of 1  ma , and an initial gain drift of 1 with a balance of 4000 . these responses were changes in oxyhemoglobin concentration chbo2 ( t ) and deoxyhemoglobin concentration chbb ( t ) from the 16 voxels . the dlpfc roughly corresponds to broadman areas 9 and 46 , and it covers portions of the middle and inferior frontal gyri . these regions of interest for task execution in the prefrontal area had been identified based on a previous fnirs study by izzetoglu et al .   and based on a meta - analysis of other neuroimaging studies performed by cabeza and nyberg . to reduce the data dimensionality , participant averages were computed using microsoft excel 2009 for both oxyhemoglobin and deoxyhemoglobin concentration for the 16 voxels as hbo2  ( mean ) and hbb(mean ) , respectively . as indicated by fnir devices llc , the voxels 1 to 8 correspond to the left ( l ) dlpfc while voxels 9 to 16 correspond to right ( r ) dlpfc . for each of the two traditional hemodynamic variables , the mean value ( hmean ) , the maximum value ( hmax ) , and standard deviation value ( hstdev ) were computed . first , each of the dependent variables was preprocessed for outliers , missing values , or nonresponses . for the missing values , the second approach involved applying the appropriate software and technique to each dependent variable to make it suitable for statistical analysis . a model adequacy check was performed to test for the three anova assumptions of normality , independence , and homogeneity of variance . if the original data violated any of the assumptions , an appropriate transformation was applied to the data until all the assumptions were met . the cronbach was evaluated based on participants overall ssq scores for each atc task session ( alignment errors ) . thus , the dataset consisted of twenty - four observations and four attributes representing batc , atc1 , atc2 , and atc3 . this shows stable responses considering 0.7 as the cutoff for acceptable response [ 3134 ] . a paired t - test statistical technique (  = 0.05 ) was used and the data was analyzed by sas . at 5% significance level , there was enough evidence to conclude that a prolonged use of stereoscopic display was likely to induce visual fatigue as there was a significant difference between the ssq responses between before air traffic control task ( batc ) and after air traffic control task ( atc 3 ) , t ( 23 ) = 15.27 , p < 0.05 . an exploratory analysis revealed that twenty - one of the thirty - two symptoms were pronounced after atc3 . these observed significant symptoms include ache , blurred vision , boredom , difficult concentrating , difficult focusing , dizziness eye open , dizziness eye closed , double vision , drowsiness , eyestrain , faintness , fatigue , fullness of the head , general discomfort , headache , loss of appetite , increased appetite , mental depression , salivation increase , salivation decrease , and tearing . further , one - way anova analysis (  = 0.05 ) was conducted to determine the effect stereoscopic alignment errors on ssq ratings . at 5% level of significance , there was enough evidence to conclude that at least one of the stereoscopic alignment errors was different , the one - way anova results , f ( 2 , 69 ) = 35.38 , p < 0.05 . a tukey post ad hoc analysis revealed that there was a significant difference between magnification difference and vertical shift ( p < 0.05 ) and magnification difference and rotational error ( p < 0.05 ) . there was no significant difference between vertical shift and rotational error . a one - way manova statistical technique (  = 0.05 ) was used to analyze the effect of display alignment errors on cerebral tissue hemodynamic responses with sas . for any significance , a tukey post ad hoc analysis was conducted to reveal the significant difference . for the hemodynamic responses , the hbb variable , w = 0.406 , p < 0.05 , and hbo2 variable w = 0.476 , p < 0.05 . the normality tests were violated . as a result of significant violations of the model adequacy checks by the hemodynamic data various transformation approaches were applied to the hemodynamic response data and further analyzed for model adequacy check . after the transformation , shapiro - wilks test showed that w = 0.04 , p = 0.65 ; for hbo2 variable , w = 0.015 , p = 0.548 . levene 's test for homogeneity of variance for hbb and hbo2 variables , analyzed with anova of squared deviations from group mean , had significant results for hbb , f ( 5 , 272 ) = 1.23 , p = 0.541 , and hbo2 , f ( 5 , 272 ) = 0.74 , p = 0.75 . all the variables were positively correlated with the exception of ( l ) dlpfc - hbb and ( r ) dlpfc - hbo2 , which had negative correlation between them as shown in table 4 . this means that as an activity increases in the left dorsolateral prefrontal cortex , the less oxygen is demanded in the right dorsolateral prefrontal cortex . from table 4 , this means that an increase in activity in the right dorsolateral prefrontal cortex requires an increase in oxygen demand . we noted that r dlpfc - hbo2 was also positively correlated with l dlpfc - hbo2 . thus , any oxygen requirement in the right dorsolateral prefrontal cortex results in equivalent increase in demand in the left dorsolateral prefrontal cortex ( a positive correlation of 0.44 ) . further , r dlpfc - hbb has a positive correlation of 0.55 with l dlpfc - hbb , meaning that performance of visual activities is concurrent in both right and left dorsolateral prefrontal cortex . the one - way manova results showed wilk 's lambda = 0.924 , f ( 8 , 132 ) = 0.66 , p < 0.05 . thus , at 5% level of significance , there was enough evidence to conclude that the transformed hemodynamic response as a composite score was significant . further , at 5% level of significance , there was enough evidence to conclude that at least one of the stereoscopic alignment errors was different : for l dlpfc - hbb transformed dataset , the anova result , f ( 2 , 69 ) = 0.10 , p < 0.05 , for l dlpfc - hbo2 transformed dataset , the anova result , f ( 2 , 69 ) = 0.15 , p < 0.05 , and r dlpfc - hbb transformed dataset , the anova result , f ( 2 , 69 ) = 1.09 , p < 0.05 . tukey analyses for l dlpfc - hbb , l dlpfc - hbo2 , and r dlpfc - hbb results are shown in table 5 . it was possible to elicit tissue hemodynamic response and simulator sickness questionnaire ( ssq ) ratings based on visual task in stereoscopic alignment errors . from the second to the third experimental sessions , the participants ' perceptual ratings of visual fatigue increased from slight to moderate or moderate to severe . the left dorsolateral prefrontal cortex was affected more than the right dorsolateral prefrontal cortex . the oxygenated hemoglobin and deoxygenated hemoglobin in the left dorsolateral prefrontal cortex were significantly affected by the stereoscopic display alignment error . while in the right dorsolateral prefrontal cortex , the stereoscopic display alignment error had an impact on only the deoxygenated hemoglobin . , responses to stimuli changes result in increase or decrease of regional cerebral blood flow ( rcbf ) to this localized brain region . the cortical tissue oxygenation requirement in the left hemisphere indicates that the effect of visual fatigue is more pronounced in the left dorsolateral prefrontal cortex . using the oxygenated hemoglobin , deoxygenated hemoglobin , blood volume , and oxygenation levels , a 3d scatter plot for neuroimaging data comprising deoxygenated hemoglobin , oxygenated hemoglobin , and oxygenation level was plotted as shown in figure 4 . this was depicted by the upward movements toward the vertex of the oxygenation level and oxygenated hemoglobin variables . the same pattern was depicted in the right dorsolateral prefrontal cortex . however , for the right dorsolateral prefrontal cortex , the distribution was narrower than the left dorsolateral prefrontal cortex . the atc tasks induced more cognitive processes in the left dorsolateral prefrontal cortex than the right dorsolateral prefrontal cortex . as a result of cognitive load , more energy was required by the brain with a corresponding oxygen requirement . according to hansen , the concentration of oxygen in the brain is about 0.1  mol  g , of which 90% is in oxy - hbb in brain capillaries . this concentration can support the normal oxygen consumption of about 3.5  mol  g  min for two seconds . for this reason , any increase in neural activity in the brain is followed by the rise in regional cerebral blood flow ( cbf ) . oxygen is transported to neural tissue via oxygenated hemoglobin ( oxy - hbb ) in the blood . the demand for glucose and oxygen by neuronal tissues in a particular brain region may vary due to particular processing requirements at a particular time . increases in hemoglobin and oxygenation levels in left dorsolateral prefrontal cortex mean that the left side of the brain is more engaged with visiomotor cognitive processes than the right side of the brain . the post ad hoc analyses revealed that there were significant differences between magnification error and rotational error and magnification error and vertical shift error . for the right hemisphere of the dorsolateral prefrontal cortex , oxygenated hemoglobin , blood volume level , and oxygenation levels were significant . since magnification difference errors were significant , we conducted a further analysis to identify likely points of visual fatigue . the hemodynamic responses revealed that significant differences exist between left and right dorsolateral prefrontal in the alignment errors in visual attention tasks , f ( 1 , 47 ) = 0.034 , p < 0.05 . generally , oxygenation levels were increased in both left and right dorsolateral prefrontal ; however , it was more pronounced in the left dorsolateral prefrontal . in the left dorsolateral prefrontal , the increased oxygenation levels resulted from the corresponding increased oxygenated hemoglobin and blood volume . contrasting to the left dorsolateral prefrontal , oxygenated levels increased without any blood flow to that region . more interestingly , the pronouncements in left dorsolateral prefrontal can be traced to the fact that all participants were right - handed . regrettably , it is well documented that the introduction of three - dimensional displays such 3d tv , high - definition multimedia interface ( hdmi ) desktop , head - mounted display , helmet - mounted display , and 3d glass into consumer markets has resulted in the increase of oculist visits for visual complaints [ 38 , 39 ] . from the empirical findings , stereoscopic display alignment errors can induce visual fatigue with accompanying underpinning physiological effects associated with visual task performance . visual fatigue is likely to increase the hemodynamic response in the left dorsolateral prefrontal cortex of the brain and delta band waves can be used to predict cognitive fatigue across all the occipital cerebral cortex . to improve 3d or stereoscopic display systems for minimum visual fatigue to the users , the optical axes system in display devices should be designed with minimum magnification difference and rotational error , as these errors were observed to be most prevalent . 3d display designs with minimum magnification difference and rotational error are more likely not only to reduce visual fatigue but also to increase performances and satisfaction of the users such as aviators and flight pilots .
the purpose of this study was to investigate the effect of stereoscopic display alignment errors on visual fatigue and prefrontal cortical tissue hemodynamic responses . 
 we collected hemodynamic data and perceptual ratings of visual fatigue while participants performed visual display tasks on 8  ft  6  ft nec lt silver screen with nec lt 245 dlp projectors . 
 there was statistical significant difference between subjective measures of visual fatigue before air traffic control task ( batc ) and after air traffic control task ( atc 3 ) , ( p < 0.05 ) . 
 statistical significance was observed between left dorsolateral prefrontal cortex oxygenated hemoglobin ( l dlpfc - hbo2 ) , left dorsolateral prefrontal cortex deoxygenated hemoglobin ( l dlpfc - hbb ) , and right dorsolateral prefrontal cortex deoxygenated hemoglobin ( r dlpfc - hbb ) on stereoscopic alignment errors ( p < 0.05 ) . 
 thus , cortical tissue oxygenation requirement in the left hemisphere indicates that the effect of visual fatigue is more pronounced in the left dorsolateral prefrontal cortex .