Exact Evaluation and Application of a Class of Non-stationary Subdivision Matrix Chain Multiplication
By employing matrix block theory and eigendecomposition techniques,a detailed investigation of the local subdivision matrix structure for a class of non-stationary subdivision schemes is conducted.A closed-form expression for the chain product of subdivision matrices is derived,uncovering the algebraic structure of this product.Building on this foundation,a subdivision algorithm is proposed that accurately interpolates limit curves,thereby improving the accuracy and quality of the subdivision schemes.The effectiveness of the algorithm is proved by provided modeling examples.
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维普
