以碎形為基礎的內插模式與雙線性、立方迴旋內插的比較

A Comparison of Fractal-based Interpolation, Bilinear Interpolation, and Cubic Convolution

黃金聰(Jin-Tsong Hwang) ； 史天元(Tian-Yuan Shih)

《航測及遙測學刊》 3卷4期 (1998/12) Pp. 39-52

https://doi.org/10.6574/JPRS.1998.3(4).3

摘要

本研究將兩種以碎形布朗運動（fractional Brownian motion, fBm）為基礎的內插方法，與兩種傳統上經常使用的雙線性內插、立方迴旋內插法作比較。實驗數據是經過數化處理後的航空像片立體對。原始影像經重新取樣，疏化為較低空間解析度的影像後再以各種方法內插重建。由實驗結果顯示，將內插重建的影像與原參考影像做比較時，不論是由影像匹配的結果來評估，或是以包括均方根誤差、均值誤差、相關係數及最大誤差量等統計指標，都顯示出傳統的內插方法仍優於碎形內插模式。

關鍵字

碎形 ； 布朗運動 ； 變異元

並列摘要

This study compares two fractal interpolation schemes based on fractional Brownain motion (fBm) with two conventional interpolation schemes: bilinear interpolation and cubic convolution. Numerical experiments are performed with one pair of digitized stereo photographs. The original image is reduces to a lower spatial resolution for interpolation. The statistic indices such as the root mean square error, average error, maximum deviation, and correlation coefficient derived by comparing interpolated and the reference images are applied for the evaluation. Besides, an image matching based on least squares is also utilized for comparison. All quality measures indicate that the conventional interpolation schemes are better than the fractal-based schemes.

並列關鍵字

Fractal ； Brownian motion ； Variogram