廣号Skeleton-Based SeamComputationforTriangulated Surface ParameterizationShi-MinHuTsinghua University,Beijing2009.3.30Tsinghua University
Sk l t e e on-B d S C t ti Based Seam Computation for Triangulated Surface Parameterization Shi-Min Hu T i h U i it B iji Tsinghua University, Beijing Tsinghua University 2009.3.30
廣窖1.Parametrization and seam computingTriangle meshes and parameterization(参数化)-Due to flexibility and efficiency,triangle mesheshavebeen widely used inthe entertainmentindustry to represent arbitrary surfaces for 3Dgames and movies during the last few years.Manynewmeshtechnigueshavebeendevelopedfor different applications. In these techniquesparameterization is akeyissue-Parameterizationprovidesmappingbetweenmeshesandadomain2009.3.30Tsinghua University
1 Parametrization and seam computing 1. Parametrization and seam computing • Triangle meshes and parameterization(参数化) – Due to flexibility and efficiency triangle meshes Due to flexibility and efficiency, triangle meshes have been widely used in the entertainment industry to represent arbitrary surfaces for 3D industry to represent arbitrary surfaces for 3D games and movies during the last few years. – Many new mesh techniques have been developed Many new mesh techniques have been developed for different applications. In these techniques, parameterization is a key issue. parameterization is a key issue. – Parameterization provides mapping between meshes and a domain Tsinghua University 2009. 3.30 meshes and a domain
廣窖Parameterizationmethodscanbegroupedintothreecategories(类别),dependingonwhetherthedomainisapolyhedron(多面体），sphereorplanePlanarBase-meshSpherical2009.3.30TsinghuaUniversity
– Parameterization methods can be grouped into three cate g ( ories (类别), p g de pendin g on whether the domain is a polyhedron(多面体), sphere or plane. Base -mesh Spherical Planar Tsinghua University 2009. 3.30 Base mesh Spherical Planar
廣窖Seam(缝)computing- Our goal is to map an arbitrary topology(拓扑)surface mesh to a single chart with lowdistortion(扭曲).Theoretically,any closed surfacecan be opened into a topological disc(圆盘)using aset of cut edges making up a “seam". Cutting alongthe seam, we can get a disc-like patch2009.3.30Tsinghua University
• Seam(缝) computing – Our goal is to map an arbitrary topology( Our goal is to map an arbitrary topology(拓扑) surface mesh to a single chart with low distortion(扭曲) Theoretically any closed surface ). Theoretically, any closed surface can be opened into a topological disc(圆盘) using a set o cut edges a g up a sea . Cutt g a o g of cut edges making up a “seam”. Cutting along the seam, we can get a disc-like patch. Tsinghua University 2009. 3.30
廣琴-Unlessthesurfaceisdevelopable,parameterizationusingasinglechartinevitably（不可避免的）createsdistortion(扭曲),which isespeciallygreatwhereprotrusions(突出物)ofthe surfaceareflattenedinto the plane. (such as fingers of a hand andhorses'legs)2009.3.30Tsinghua University
– Unless the surface is developable, parameterization using a single chart inevitably( using a single chart inevitably(不可避免的) creates ) creates distortion(扭曲), which is especially great where p ( rotrusions (突出物 ) of the surface are flattened into the plane. (such as fingers of a hand and horses' legs) Tsinghua University 2009. 3.30