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    Requirements        
    To carry out this project the following were needed:        
    1. LandSat satellite Imagery of Path 19/31  
    on the required dates ie July 16, 2002 and August 01, 2002        
    2. In-situ data for the same dates        
    3. Image processing software        
    LandSat imagery was acquired from Ohioview 
    on the required dates ie., August 1, 2002 (Path 19/31), August 8, 2002(Path 
    20/31) and July 16, 2002(Path 19/31). The in-situ turbidity data was 
    acquired from the University of Toledo for the above dates.
    ENVI 3.4 was chosen for 
    image processing as it had some useful functions built into it i.e. 
    BandMath etc. A methodology (Fig.3) was developed before executing the 
    project in order to approach the problem in a mannered way.                                                  
 
               
  
    | Overlay of boat data and Raster data   |     
    
       Now going through step by step 
    process........ Step 1 Collection of data: The required data ie boat data 
    and cloud free LandSat Imagery were acquired Step 2 Assumptions: 1. The atmospheric conditions 
    were assumed to be the same during the boat data collection and satellite 
    overpass 2.The wind direction and water current conditions 
    are assumed to be same during the satellite overpass and data collection                 
     
  
    | Dark Object Subtraction: Examine brightness values in 
    an area of shadow or for a very dark object (such as a large clear lake) and 
    determine the minimum value. The correction is applied by subtracting the 
    minimum observed value, determined for each specific band, from all pixel 
    values in each respective band. Since scattering is wavelength dependent the 
    minimum values will vary from band to band. This method is based on the 
    assumption that the reflectance from these features, if the atmosphere is 
    clear, should be very small, if not zero.  A histogram after dark object 
    subtraction for the same image can be seen in the Fig.5 below. |             
               
  
    | Fig. 4 showing the digital numbers of 
    band 3 and 1 of LandSat before Dark Object Subtraction   |      
          
     
   
     
  
    | Fig.5 showing the digital numbers of 
    band 3 and 1 of LandSat after Dark Object Subtraction   |            
  
    | Spatial and spectral subset: Spatial and spectral subset 
    were made to the dark object subtracted images. The image is subset 
    spatially and spectrally to decrease the processing time and memory. It was 
    found out empirically that Band 3 and Band 1 of LandSat ETM are  closely 
    related with turbidity values (refer Fig.6). Hence the images were 
    spectrally subset for bands 1 and band 3.The processed images could be seen 
    in figures 7, 8&9 below. |      
  
    | Step 3 Preprocessing of the images: The images acquired were first 
    preprocessed using some of the basic tools in ENVI 3.5. Dark Object 
    Subtraction was applied to the images. The atmosphere introduces two forms 
    of path radiance into the signal, radiance from Rayleigh or molecular 
    scatter, and radiance from aerosols or haze. These can be removed 
    simultaneously using dark object subtractions (refer Fig 4). 
     |     
  
    | Boat data: The in-situ boat data was 
    collected in the western basin of Lake Erie at 28 points on two dates i.e.., 
    July 16, 2002 and Aug 1, 2002. The data includes the sechhi depth 
    measurements converted to NTU (Nephelometric Turbidity Unit). The points 
    have longitude and latitude collected with a GPS unit.  The data is added to 
    ArcView 3.3 to create a point shapefile with the 28 points of in-situ 
    measurements. The point layer is then projected to the coordinates of the 
    image i.e.., NAD 1983 datum.  Step 4: The file is then brought into 
    ENVI3.5 and was overlaid onto the preprocessed image (refer fig 10 & 11).
     |      
  
    | Fig.6 Reflectance curves of LandSat 7 
    ETM+ Bands 3 and 1 .Click on the image to see a detailed picture |    
           
           
 
  
    | Fig.10 Point data overlayed onto 
    preprocessed LandSat 7 ETM+ image of July 16, 2002 |    
  
    | Fig.11 Point data overlayed onto 
    preprocessed LandSat 7 ETM+ image of August 1, 2002 |                                
  
    | Step 5: Brightness values were 
    extracted from the satellite digital data and were used to develop 
    regression models with in-situ sampling . Linear regression models were 
    developed from brightness values and onsite sampling data. Data from the 28 
    individual sampling sites were compared with the average brightness of the 
    red (band3) and blue (band1) reflectance of water and turbidity. Histograms 
    and tests of normality indicated the distributions of satellite sensor data 
    were normal for the study area. a band math function was developed using the 
    prior empirical functions derived by Czajkowski et al. The in-situ data was 
    overlaid onto the images after reprojecting the point data into UTM (NAD 
    1983)and a new empirical model was developed using BandMath function in the 
    image processing software ENVI 3.5 and was applied to the band ratio 3/1. An 
    average of 9 pixels i.e. 3x3 matrix from BandMath applied LandSat image 
    (each pixel is 30X30 mt) was taken as mean value for each of the 28 in-situ 
    observations. Mean averages for all the 28 observations were taken. 
    Regression analysis was applied to the data. The mean values with negative 
    numbers were assumed to be that of clear waters and thus were not considered 
    when running the analysis. After the analysis the BandMath processed images 
    are made into turbidity maps reflecting the clarity of water. Fig 12 and Fig 
    13 represent the two turbidity maps i.e. July 16, 2002 and Aug 01, 2002. The 
    darker tones represent more turbidity and the lighter tones represent low 
    turbidity.     
          |                
                 
 
  
    | Fig.12 Turbidity map 
    of July 16, 2002 showing the turbidity. Darker tone represents more turbid 
    waters
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    | Fig.13 Turbidity map 
    of Aig 01, 2002 showing the turbidity. Darker tone represents more turbid 
    waters
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