Image Enlargement Using Symmetric B-Spline Basis on Closed Periodic Zone
Aiming at the weakness of ignoring symmetry property and using complicated iterative algorithms to solve for interpolation coefficients in the existing time domain B-spline interpolation methods, this paper presents a novel B-spline interpolation method using symmetric B-spline basis on closed periodic zone where interpolation coefficients can be fast computed by parallel algorithms. First we shift naive B-spline basis to establish symmetric B-spline basis, next we use orthogonality properties of complex exponentials to establish orthogonal B-spline basis on closed periodic zone and derive parallel computing formula for coefficients of orthogonal B-spline basis; we further use relation between coefficients of orthogonal B-spline basis and coefficients of symmetric B-spline basis to achieve parallel computing formulas for interpolation coefficients of symmetric B-spline basis. At last, we extend the method to image enlargement. Experiment results show that, the new theory established in this paper can be used to explain result of B-spline interpolation from standpoint of signal processing. The method presented in this paper can easily carry out parallel computation for interpolation coefficients of symmetric B-spline basis and brings no phase deviation to enlarged image. Compared with neighborhood-based bilinear and bicubic interpolation methods, the new method produces enlargement with higher Peak Signal to Noise Ratio (PSNR) and sharper visual quality.
Parallel algorithms series ezpansion methods spline and piecewise polynomial interpolation
Kaiting Zhou Lixin Zheng Fuyong Lin
College of Information Science and Engineering Huaqiao University Quanzhou,China
国际会议
上海
英文
2588-2591
2009-11-20（万方平台首次上网日期，不代表论文的发表时间）