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Many spherical parameterization schemes with very nice properties have been proposed and widely used in the past. However, it is well known that the spherical parameterization is limited to genus\u2010<jats:italic>0<\/jats:italic>models. In this paper, we first propose a novel framework to extend spherical parameterization for handling a genus\u2010n surface. In this framework, we represent a surface S of arbitrary genus by a positive mesh O and several negative meshes N<jats:sub>i<\/jats:sub>. Each negative surface is used to represent a hole. A positive surface O is obtained by removing all holes in the original surface S. Then, both positive and negative meshes are genus\u20100 and can be spherically parameterized, respectively. To compute S, we can use a Boolean difference operation to subtract negative N<jats:sub>i<\/jats:sub>from a positive O. Next, we apply this novel framework to generate genus\u2010n\u2010to\u2010m mesh morphing application without restriction of n\u2009=\u2009m. Finally, there are many interesting non\u2010genus\u20100 mesh morphing sequences generated. Copyright \u00a9 2006 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/cav.146","type":"journal-article","created":{"date-parts":[[2006,6,14]],"date-time":"2006-06-14T09:32:35Z","timestamp":1150277555000},"page":"433-443","source":"Crossref","is-referenced-by-count":13,"title":["Generating genus\u2010<i>n<\/i>\u2010to\u2010<i>m<\/i>mesh morphing using spherical parameterization"],"prefix":"10.1002","volume":"17","author":[{"given":"Tong\u2010Yee","family":"Lee","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chih\u2010Yuan","family":"Yao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hung\u2010Kuo","family":"Chu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ming\u2010Jen","family":"Tai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Cheng\u2010Chieh","family":"Chen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,6,14]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"crossref","unstructured":"GuX GortlerS HoppeH.Geometry images.ACM SIGGRAPH2002; pp.355\u2013361.","DOI":"10.1145\/566654.566589"},{"key":"e_1_2_1_3_2","doi-asserted-by":"crossref","unstructured":"SorkineO Cohen\u2010ORD GoldenthalR LischinskiD.Bounded\u2010distortion piecewise mesh parametrization.Proceedings of the Conference on Visualization2002;355\u2013362.","DOI":"10.1109\/VISUAL.2002.1183795"},{"issue":"2","key":"e_1_2_1_4_2","first-page":"181","article-title":"Conformal surface parametrization for texture mapping","volume":"6","author":"Haker S","year":"2000","journal-title":"IEEE TVCG"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/PL00007211"},{"key":"e_1_2_1_6_2","unstructured":"ShefferA GotsmanC DynN.Robust spherical parameterization of triangular meshes. 4th Israel\u2010Korea Bi\u2010National Conference on Geometric Modeling and Computer Graphics2003; pp.94\u201399."},{"key":"e_1_2_1_7_2","doi-asserted-by":"crossref","unstructured":"GotsmanC GuX ShefferA.Fundamentals of spherical parameterization for 3D meshes.Proceedings of ACM SIGGRAPH.2003; pp.358\u2013363.","DOI":"10.1145\/882262.882276"},{"key":"e_1_2_1_8_2","doi-asserted-by":"crossref","unstructured":"PraunE HoppeH.Spherical parametrization and remeshing.ACM SIGGRAPH2003;340\u2013349.","DOI":"10.1145\/882262.882274"},{"key":"e_1_2_1_9_2","doi-asserted-by":"crossref","unstructured":"PraunE SweldensW Schr\u00f6derP.Consistent Mesh Parameterizations.SIGGRAPH2001;179\u2013184.","DOI":"10.1145\/383259.383277"},{"key":"e_1_2_1_10_2","doi-asserted-by":"crossref","unstructured":"AsirvathamA PraunE HoppeH.Consistent spherical parameterization. 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