We Introduce and Analyse Univariate, Linear and Stationary Subdivision Schemes For Refining Noisy Data By Using Geometrical Applications. Sub Divisions Schemes Are Presented That Are Based on Univariate Polynomials. Subdivision Is a Process of Recursively Refining Discrete Data Using a Set of Subdivision Rules (Called Subdivision Scheme) Which Generates a Continuous or Even Smooth Limit. Subdivision Schemes Are Multi-Resolution Methods Used In Computer-Aided Geometric Design to Generate Smooth Curves or Surfaces.