Image-like Reshaping

Problem Statement

Reshape flat data into image-like 3D arrays and back.

Background

Images are typically 3D arrays: (height, width, channels)

• Grayscale: (H, W, 1)
• RGB: (H, W, 3)

Flattening and reshaping is common in deep learning:

• Flatten for fully-connected layers
• Reshape for convolutional layers

Your Task

Write a function image_reshape(flat_data, height, width, channels) that:

1. Reshapes flat data to image shape (H, W, C)
2. Also returns channel-first format (C, H, W)
3. Returns flattened form

Output Format

Return a dictionary with:

• "image": Shape (H, W, C) as list
• "channels_first": Shape (C, H, W) as list
• "flat": Flattened as list
• "shape": Original image shape as list