Unit: Cubature

Recent research has pushed the boundaries of high-order cubature through numerical optimization rather than purely algebraic construction.

Many high-order formulas leverage six-fold rotational symmetry or reflections to simplify the construction and ensure the exact integration of certain basis functions, such as Zernike polynomials . Significant Recent Developments cubature unit

Researchers focus on finding "minimal" formulas that achieve a specific degree with the smallest possible number of cubature points (nodes) to reduce computational cost. Recent research has pushed the boundaries of high-order