PURPOSE: A method for correcting the slant of an X-ray CT photographing device using Hough transformation is provided to calculate a tilting angle of 2D projection data by calculating a straight line component and a slope of the straight line component comprising each boundary line through Hough transformation.CONSTITUTION: Each boundary line is detected using a Roberts mask(S1100). A straight line component and a slope of the straight line component are calculated(S1200). Coordinate values of 2D projection images are rotated as much as a slope &thgr(S1300). 2D projection data correcting slant is reconstructed into a 3D image(S1400). An X-ray CT photographing device calculates the slopes for each angle. The X-ray CT photographing device generates a slope file storing the slope of each angle(S1500). The X-ray CT photographing device corrects the slant of each 2D projection data using the slope file(S1600).COPYRIGHT KIPO 2013[Reference numerals] (S1100) Step for detecting boundary lines of physical phantom from a 2D projection image scanned in an X-ray CT photographing device (S1200) Step for computing one straight component from the boundary lines and calculating the slope of the straight component with the slope of 2D projection data (S1300) Step for rotating as much as the slope of the 2D projection data in the reverse direction (S1400) Step for reconstructing the 2D projection data correcting slant into a 3D image (S1500) Step for calculating slopes of each angle rotated by the X-ray CT photographing device and generating a slope file storing the slopes of each angle (S1600) Step for correcting the slant of the 2D projection data using the slope file when the X-ray CT photographing device scans an object본 발명은 허프 변환을 이용한 엑스레이 씨티 촬영장치의 기울어짐 보정방법에 관한 것으로, 보다 구체적으로는 엑스레이 씨티 촬영장치에서 입력된 2차원 프로젝션 데이터들을 3차원 영상으로 재구성하는 경우, 각 2차원 프로젝션 데이터의 기울어짐을 검출 및 보정하여 정확한 3차원 영상을 획득할 수 있게 하는 허프 변환을 이용한 엑스레이 씨티 촬영장치의 기울어짐 보정방법에 관한 것이다.