In recent years, texture mapping techniques have become more advanced as providing real-time rendering tasks. However, few methods have been conducted in optimizing a sub-texture mapping for an arbitrary texture. In this paper, we present a method to optimize sub-texture mapping by reflecting topology relations in which an arbitrary sub-texture source has to be represented as minimizing distortions of the sub-texture source. We have defined a manipulating mechanism that helps a user control a texture source using a track ball interface in order to minimize loss of the texture source. And a sub-texture frame has to be aligned to dominant geometric structures of 3d model by employing some transformations. We have shown experimental results to verify the proposed method as well.