Customized shoe making is receiving increased interest from shoe manufacturers as a solution to alleviate the growing burdens associated with foot problems. Design of shoe ``lasts" is a central activity in customized shoe manufacture and is traditionally based on bare eyes and skilful hands. This results in errors in the design of lasts and, in recent years, the Free Form Deformation (FFD) was introduced that utilizes a restricted number of control points to transform the 3D foot data into 3D last data. However this scheme does not provide the design method for the major dimensions of the last. To overcome this problem a new method for last design was developed that takes the three dimensional foot data and carries out its analysis using LFFD and the Schwarz-Christoffel algorithm but which improves this further by means of a conformal mapping function in terms of accuracy over the conventional last design. Further research is needed to assess the practicalities and its industrial application in shoe manufacture. 1. Problem Description In modern times, people do not exercise enough, have become overweight and experience foot problems. As normal walking is not carried out, foot problems have become an important health issue. Customized shoe making has received increased interest of the shoe manufacturers to decrease the burdens associated with foot problems. Design of shoe "lasts" is a central activity in shoe manufacture but modification of the shape of the lasts is a complex process which involves many parameters: heel height; toe spring; girth length; stick length; etc. Traditionally, the last design method draws on bare eyes and skilful hands but these result in errors in the design of lasts. It is essential to analyze foot shape, 3D measureement of the foot and foot pressure analysis as the first step of customized shoe making includes all of these[1,2,3,4]. For 3D foot measurement, Mochimaru [5] proposed the FFD scheme to design the shoe last. However this scheme does not provide the design method for the major dimensions, such as ball-girth, heel circumference, ball-width and insole length. To solve this problem the Limb Line Free Form Deformation (LFFD) had been proposed but there were still some errors as the LFFD scheme is based on 3D interpolation that uses a restricted number of control points to transform the 3D foot data into 3D last data. 2. Research Questions The restriction of control points motivated our