1. A wavelet transformation-based image encoder apparatus including machine executable code on a non-transitory machine readable medium, the encoder apparatus comprising: an image tiling processing unit for dividing an original image into a predetermined number of images; a wavelet transformation processing unit including processing means for: determining a number of the wavelet transformation for each of the divided images, performing a wavelet transformation for each of the divided images according to a known number; and outputting the wavelet transformed data; an extractor processing unit for receiving the output of wavelet transformed data by the wavelet transformation unit for each of the divided images and extracting only specific wavelet transformed data for each of the divided images; a range mapping processing unit for performing range mapping of color values of each pixel included in each of the specific extracted wavelet transformed data; and an assembling processing unit including means for: receiving the range-mapped, wavelet transformed data; and generating a thumbnail image corresponding to an entirety of the original image by assembling the range-mapped, wavelet transformed data.