| Abstract: | Displaced subdivision representation possesses a number of
attractive features for efficient and convinient processing like editing, geometry compression, animation, scalability, and adaptive rendering of polygonal models. In this representation, a detailed surface model is built as a scalar-valued displacement map over a smooth domain surface. The construction of the smooth domain surface from a polygonal model is a challenging task in the conversion process. For building the smooth domain surface, we propose an efficient algorithm that is based on $\sqrt{3}%
$-subdivision scheme, memory efficient simplification and a linear time optimization technique. At some fixed level of detail, the vertex and triangle complexity of the displaced surface generated by the proposed algorithm is far less and so it results in better compression ratios and transmission speed. The proposed algorithm creates surfaces of better quality, is computationally more efficient and occupies less memory as comp
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