幾何優(yōu)化算法與其在球面參數(shù)化上的應(yīng)用

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1、第三章球面參數(shù)化扭曲程度度量????????????173．1幾類映射介紹???????????????????173．1．1等距映射???????????????????．173．1．2保角映射???????????????????．173．1．3等面積映射??????????????????．．173．2角度和面積扭曲度量????????????????．．18第四章分層漸進(jìn)式球面參數(shù)化優(yōu)化算法?????????．214．1算法綜述????????????????????．．214．2全局分層優(yōu)化???????????????????214．3局

2、部頂點(diǎn)優(yōu)化???????????????????224．4優(yōu)先隊(duì)列應(yīng)用???????????????????234．5映射雙射性????????????????????254．6優(yōu)化算法收斂性分析????????????????．．254．7球面參數(shù)化實(shí)驗(yàn)結(jié)果????????????????．．26第五章任意拓?fù)浣Y(jié)構(gòu)曲面模型的球面參數(shù)化???????．375．1任意拓?fù)浣Y(jié)構(gòu)表面的球面調(diào)和分解???????????．．375．1．1球面參數(shù)化??????????????????．．375．1．2曲面拓?fù)銱andle和Tunnel環(huán)???????????

3、??385。1．3曲面的切割與粘合????????????????395．1．4實(shí)驗(yàn)結(jié)果???????????????????．40V1第六章球面參數(shù)化應(yīng)用????????????????436．1曲面重建????????????????????．．436．1．1球諧分解與重建?????????????????436．1．2重建精度分析?????????????????．．446．2利用球諧函數(shù)進(jìn)行變形分析??????????????．466．3本章小結(jié)????????????????????．．47第七章總結(jié)與展望?????????????????

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