An Automatic Car Counting System Using OverFeat Framework
2. Related Work
3.1. Background Subtraction Method
3.1.1. Gaussian Mixture Model (GMM)
- model the values of a particular pixel as a mixture of Gaussians;
- determine which Gaussians may correspond to background colors-based on the persistence and the variance of each of the Gaussians;
- pixel values that do not fit the background distributions are considered foreground until there is a Gaussian that includes them;
- update the Gaussians;
- pixel values that do not match one of the pixel’s “background” Gaussians are grouped using connected components.
- is an estimate of the weight of ith Gaussian in the mixture at time t (the portion of data accounted for by this Gaussian). Initially, we considered that all the Gaussians have the same weights.
- is the mean value of the ith Gaussian in the mixture at time t.
- is the covariance matrix of the ith Gaussian in the mixture at time t.
- Every new pixel value, is checked against the existing k Gaussian distributions until a match is found.
- If none of the k distributions match the current pixel value, the least probable distribution is discarded.
- A new distribution with the current value as its mean value, and an initially high variance and low prior weight is entered.
- The prior weights of the k distribution at time t are adjusted as follows:
3.1.2. Implementation of the Background Subtraction Method
3.2. OverFeat Framework
3.2.1. Convolution Neural Network (CNN)
- Nonlinearity (ReLu)
- Fully-connected layer (FC)
Fully-Connected Layer (FC)
3.2.2. OverFeat Architecture
3.2.3. Implementation of the OverFeat Framework
3.3. Commercial Software (Placemeter)
3.4. Manual Counting
4.1. Training Data
4.2. Testing Data
5. Result and Discussion
Conflicts of Interest
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|Stage||conv + max||conv + max||conv||conv||conv + max||full||full||full|
|Filter size||11 × 11||5 × 5||3 × 3||3 × 3||3 × 3||-||-||-|
|Conv. stride||4 × 4||1 × 1||1 × 1||1 × 1||1 × 1||-||-||-|
|Pooling size||2 × 2||2 × 2||-||-||2 × 2|
|Pooling stride||2 × 2||2 × 2||-||-||2 × 2||-||-||-|
|Zero-Padding size||-||-||1 × 1 × 1 × 1||1 × 1 × 1 × 1||1 × 1 × 1 × 1||-||-||-|
|Spatial input size||231 × 231||24 × 24||12 × 12||12 × 12||12 × 12||6 × 6||1 × 1||1 × 1|
|Camera||Time Duration (Local Time)||Manual Counts||Placemeter||BSM||OverFeat|
|C34||10:00–11:00||879||582 (66.21%)||597 (67.91%)||910 (96.47%)|
|18:00–19:00||2075||1467 (70.96%)||1335 (64.33%)||2120 (99.97%)|
|C35||07:00–08:00||1862||1332 (71.53%)||2236 (79.91%)||1902 (97.85%)|
|C66||11:00–12:00||1978||1393 (70.42%)||1674 (84.63%)||1942 (98.17%)|
|23:00–00:00||549||335 (61.02%)||108 (19.67%)||566 (99.96%)|
|C73||11:00–11:10 (for 10 min)||270||156 (57.77%)||151 (52.92%)||255 (94.44%)|
|C103||07:00–08:00||210||145 (69.04%)||372 (22.85%)||225 (92.85%)|
|11:00–12:00||579||432 (74.61%)||463 (79.96%)||619 (93.09%)|
|Under the bridge||09:00-09:01 (1 min)||52||-||50 (96.15%)||54 (96.15%)|
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Biswas, D.; Su, H.; Wang, C.; Blankenship, J.; Stevanovic, A. An Automatic Car Counting System Using OverFeat Framework. Sensors 2017, 17, 1535. https://doi.org/10.3390/s17071535
Biswas D, Su H, Wang C, Blankenship J, Stevanovic A. An Automatic Car Counting System Using OverFeat Framework. Sensors. 2017; 17(7):1535. https://doi.org/10.3390/s17071535Chicago/Turabian Style
Biswas, Debojit, Hongbo Su, Chengyi Wang, Jason Blankenship, and Aleksandar Stevanovic. 2017. "An Automatic Car Counting System Using OverFeat Framework" Sensors 17, no. 7: 1535. https://doi.org/10.3390/s17071535