Abstract: High quality textures can be generated on mesh surfaces by texture synthesis from samples,however the synthesis performance should be further improved.By combining texture synthesis with the local texture mapping,the paper presents a novel algorithm to speed up the process of texture synthesis.By the algorithm,the surfaces are first divided into a series of mapping areas and synthesis areas using the constraints of the triangles' normal and texture attributes.Then the mapping areas are textured by harmonic mapping from the 2D mapping sample,by a patch-based synthesis method.Finally,the synthesis areas are textured by a triangle-based synthesis method.The experimental results show that the algorithm renders textures on curve surfaces with good continuity feature and little distortion,and at the same time the user can simply control the orientation and the scale of textures according to the user's requirement.As most of the triangles are directly textured by mapping,and only a few triangles need to be textured through synthesis,the texturing process performance is greatly improved.