https://www.chenk.top/en/tags/image-processing/Recent content in Image Processing on Chen Kai BlogHugoenWed, 23 Apr 2025 09:00:00 +0000https://www.chenk.top/en/linear-algebra/17-linear-algebra-in-computer-vision/Wed, 23 Apr 2025 09:00:00 +0000https://www.chenk.top/en/linear-algebra/17-linear-algebra-in-computer-vision/<p>Computer vision is the science of teaching machines to see. What is striking is how thoroughly the whole field reduces to linear algebra: an image is a matrix, a geometric transformation is a matrix product, a camera is a <span class="math-inline">$3 \times 4$</span> projection matrix, two-view geometry is the equation <span class="math-inline">$\mathbf{x}_2^\top \mathbf{F}\, \mathbf{x}_1 = 0$</span> , and 3D reconstruction is a sparse linear least-squares problem. Once you see the field through that lens, what once looked like a zoo of algorithms turns out to be a small set of linear-algebraic ideas applied repeatedly.</p>