为什么离散数据的双三次插值看起来很难看?

i have a 128x128 array of elevation data (elevations from -400m to 8000m are displayed using 9 colors) and i need to resize it to 512x512. I did it with bicubic interpolation, but the result looks weird. In the picture you can see original, nearest and bicubic. Note: only the elevation data are interpolated not the colors themselves (gamut is preserved). Are those artifacts seen on the bicubic image result of my bad interpolation code or they are caused by the interpolating of discrete (9 steps) data?i have a 128x128 array of elevation data (eleva