Is there anyway to write an algorithm for wavelet without dwt2 command ?

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HamidReza Saleh 2016-11-20

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https://ww2.mathworks.cn/matlabcentral/answers/313131-is-there-anyway-to-write-an-algorithm-for-wavelet-without-dwt2-command

im trying to write down dwt2 command algorithm , i try to gain wavelet transform of an image with haar filter as i realize i should use high and low pass filter but my problem is down sampling when i down sample the image the result is cut in half and its not correct answer is there nay way to implement this idea at all ? how can i get wavelet transform of an image with haar filter at all ???

thanks