The Application of Algebraic Geometry Theory in Computer Image Processing

This paper introduces a new mathematical tool of geometric algebra in computer vision research problems in geometric algebra as a new mathematical system combining the geometry and algebraic properties. In multidimensional signal vector processing and geometry, geometry modeling and geometric design has outstanding advantages in calculation. Based on the mathematical framework of geometric algebra, this paper focuses on computer vision 3D reconstruction after carrying out some exploratory researches, mainly studies the color image matching, the two views of the unipolar geometry and camera internal parameter calibration.