Binary Image Boundary Extraction, Boundary Sequence Processing, and Fourier Descriptor Analysis Toolkit

The source code package contains the following programs:

1. Binary Image Boundary Extraction Program: Implements contour detection algorithms (typically using edge detection operators or morphological operations) to extract boundary pixels from binary images with options for connectivity analysis and chain code generation.

2. Boundary Sequence Extraction Program: Processes extracted boundaries to create ordered coordinate sequences, implementing traversal algorithms that ensure consistent starting points and direction for subsequent Fourier analysis.

3. Uniform Boundary Sequence Sampling Program: Applies equidistant sampling algorithms to normalize boundary point distributions, using interpolation techniques to maintain shape characteristics while reducing computational complexity for Fourier transformations.

4. Fourier Descriptor Calculation Program: Computes Fourier descriptors from boundary coordinates through Discrete Fourier Transform (DFT) implementation, generating rotation-invariant features for shape representation and analysis.

5. Boundary Reconstruction from Fourier Descriptors Program: Reconstructs image boundaries using inverse Fourier transform algorithms, allowing users to visualize shape approximations with configurable descriptor truncation for multi-resolution analysis.

This comprehensive toolkit provides complete workflow implementation for boundary extraction, sequence processing, Fourier-based shape analysis, and visual reconstruction, suitable for computer vision and pattern recognition applications.