Inthisarticle,wepresentanalternativederivationforBronnikov’sreconstructionalgorithminX-rayphasecontrasttomographywithholographicmeasurements.Atwo-stepmethodwasusedinthealternativederivation.ThephaseshiftinducedbytheobjectwasobtainedbyFouriertransformandtherealpartofthecomplexrefractiveindexoftheobjectwasretrievedbyapplyingtheconventionalfilteredbackprojectionmethod.Thealternativederivationprovidesaneasierwaytounderstandthereconstructionformula.