Most textiles do not stretch noticeably under their own weight. Simulating inextensible cloth is consequently attracted much attention. The styles of cloth are not monotonous any more. Cloth designers can design to embed some objects onto the textiles. In this thesis, we develop a novel hybrid framework for simulating inextensible cloth with embedded objects. We iteratively perform fast projection and shape matching so that the strain of cloth is not larger than a predefined limit and the embedded regions of cloth are maintained their initial shapes.