👉 Photoshop's math, rooted in linear algebra and calculus, underpins its image editing capabilities. At its core, it uses matrices to manipulate pixel data, enabling transformations like rotations, scaling, and perspective corrections through matrix operations. Color spaces (RGB, CMYK) rely on vector math for precise color mixing, while blending modes (e.g., multiply, overlay) apply weighted sums and integrals to pixels, altering brightness, contrast, or saturation. Gradients leverage linear interpolation to create smooth transitions, and filters often use convolution kernels (mathematical masks) to apply effects like blur or sharpening. These principles allow Photoshop to dynamically adjust images, making it a powerful tool for both creative and technical image manipulation.
