Classifying Non-Rectangle Images Using Convolutional Neural Networks (CNN)

Classifying Non-Rectangle Images Using Convolutional Neural Networks (CNN)

When working with image classification tasks using Convolutional Neural Networks (CNNs), most tasks involve input data that fits within a standard rectangular shape. However, there are scenarios where dealing with non-rectangular images is necessary, especially in cases such as analyzing 3D structures or irregularly shaped data. This article explores how to classify non-rectangle images using CNN techniques and discusses potential strategies for handling such data.

Understanding the Challenges

Non-rectangle images pose a challenge due to their varying shapes which deviate from the traditional rectangular shape. If your input data cannot be directly fed into a standard 2D CNN because the geometry of the image violates the assumption of rectangularity, you have several options to address these limitations.

Handling Irregular Shapes with Z-Axis Information

One approach is to consider the data in a 3D context. If your data can be modeled as a 3D grid or volume, where each voxel (3D pixel) represents a data point, you can use 3D convolutional filters to handle the irregular shape. One common solution is to designate some value as "invalid" or "not available" (N/A), often represented by -1. This value is used to indicate areas in your 3D data where no valid data is present, thus effectively creating a mask for the missing or irregular parts of the image.

Example

Consider a scenario where you are analyzing seismic data represented as a 3D grid. Some parts of the grid may have missing or inaccurate data, which can be represented as -1 or 0. By using 3D convolution filters and adjusting the stride along the z-axis, you can effectively handle these irregularities and classify the image without the need for standard rectangular inputs.

Merging Multiple 2D Slices to Form a 3D Structure

Another approach is to merge multiple 2D slices of the image to form a 3D structure. This method is particularly useful if your input data is sliced in such a way that each slice represents a 2D view of the 3D structure. By stacking these slices, you can create a 3D volume that a 3D CNN can process.

Steps for Implementation

Obtain multiple 2D slices of the image at different orientations or positions. Use image processing techniques to align the slices and ensure consistency. Stack the slices to form a 3D volume. Apply 3D convolution filters to the stacked volume.

Handling Data with Different Shapes

For data that does not naturally form a 3D grid, other methods such as padding, warping, or generating a mask can be considered. These methods help to reshape the input data into a format that can be fed into a 2D CNN.

1. Padding

Padding involves adding an extra layer of zeros or a predetermined value around the irregularly shaped data. This method ensures that the input data fits into a standard rectangular shape, making it compatible with a standard 2D CNN. The CNN can then learn to ignore or treat these padded areas as non-informative.

2. Warping

Warping involves distorting the data to fit into a standard rectangular shape. This method requires advanced techniques such as image warping algorithms. While effective, warping can introduce distortions that may affect the accuracy of the CNN's classification.

3. Masking

Masking involves creating a mask that indicates the valid regions of the input data. The CNN can then be trained to ignore or give less importance to the regions marked as invalid or non-informative.

Conclusion

Classifying non-rectangle images using CNNs requires a creative approach to handle the irregularities of the input data. By understanding the nature of your data and the constraints it imposes, you can develop strategies such as 3D convolutions, merging multiple 2D slices, padding, warping, or masking to effectively classify non-rectangle images. These methods not only enhance the data's compatibility with CNNs but also improve the robustness and accuracy of the classification.

Keywords

CNN non-rectangle images image classification machine learning 3D convolution

References

Bovik, A. C., Karni, Z. (2003). A Spatially Adaptive Warping Scheme for Non-Rectangular Video Coding. IEEE Transactions on Image Processing, 12(2), 182–194. Bolles, R. C., Tsai, R. Y. (1993). A Constructive Critique of Image Repair by Interpolation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 15(3), 298–310.