CAJ | 학술논문

提出了一个用球面小波实现几何压缩的算法.对于给定的具有任意拓扑结构的零亏格三角形网格,算法首先将其在单位球面上进行全局参数化得到一个参数化网格.然后,将一个正多面体进行细分并将每一次细分所产生的新顶点投影到单位球面上,如此生成一个细分网格.于是,在参数域内位于细分网格顶点处对定义在参数网格表面上的各种几何信号进行重采样,可得到新的具有细分结构的几何信号近似表示原始几何信号,以此满足球面细分小波对处理对象的细分结构要求,从而使得用球面细分小波对几何信号进行压缩得以实现.
제출료일개용구면소파실현궤하압축적산법.대우급정적구유임의탁복결구적령우격삼각형망격,산법수선장기재단위구면상진행전국삼수화득도일개삼수화망격.연후,장일개정다면체진행세분병장매일차세분소산생적신정점투영도단위구면상,여차생성일개세분망격.우시,재삼수역내위우세분망격정점처대정의재삼수망격표면상적각충궤하신호진행중채양,가득도신적구유세분결구적궤하신호근사표시원시궤하신호,이차만족구면세분소파대처리대상적세분결구요구,종이사득용구면세분소파대궤하신호진행압축득이실현.
This paper proposed a novel geometry compression method using spherical wavelet. Given a manifold triangle mesh with zero genus and arbitrary topology, it is globally parameterized over the unit sphere S2 in E3 firstly. At the same time, by subdividing an icosahedron and projecting all its vertices onto the unit sphere from the center, we can get a spherical triangle mesh with subdivision topology. Then we re-sampling all signals defined on the surface of the original triangle mesh at the vertices of the spherical subdivision mesh and get a set of discrete geometry signals with subdivision topology which can be compressed by using spherical wavelet.