Differential Operation on Color Images
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In this document, we implement differential operations on color images and conduct histogram analysis for both RGB channels and luminance components. The algorithm calculates second-derivative zero-crossing points through gradient computation and curvature analysis. Our custom implementation involves:
1. Color space conversion from RGB to luminance for brightness processing
2. Separate convolution operations using Sobel or Prewitt filters for gradient calculation on each channel
3. Histogram equalization and statistical analysis for feature enhancement
4. Laplacian-of-Gaussian (LoG) or difference-of-Gaussians (DoG) methods for second-derivative zero-point detection
The completely original algorithm demonstrates excellent performance in edge detection and feature extraction applications.
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