雙線性內插法「先橫後豎」與「先豎後橫」等價性討論

「雙線性內插法」是一項易於計算的常用內插方式，在影像重新取樣與數值高程模型地形內插，均有應用。就計算面而論，本方法包含三次線性內插。就維度之程序而論，可以為「先橫後豎」，或「先豎後橫」。本文之目的在分析此兩種選項之結果為何相同。 Bilinear interpolation is a commonly applied method, which has been applied for resampling inremote sensing image processing, and also for the geomorphological interpolation in digital elevationmodelling. This method is composed of three linear interpolations. This could be performed eithercolumn first or row first. This note examines the equivalence of these two schemes.

Bilinear interpolation is a commonly applied method, which has been applied for resampling inremote sensing image processing, and also for the geomorphological interpolation in digital elevationmodelling. This method is composed of three linear interpolations. This could be performed eithercolumn first or row first. This note examines the equivalence of these two schemes.