Show simple item record

dc.contributor.authorBaden, Alexen_US
dc.contributor.authorCrane, Keenanen_US
dc.contributor.authorKazhdan, Mishaen_US
dc.contributor.editorJu, Tao and Vaxman, Amiren_US
dc.description.abstractConformal parameterizations over the sphere provide high-quality maps between genus zero surfaces, and are essential for applications such as data transfer and comparative shape analysis. However, such maps are not unique: to define correspondence between two surfaces, one must find the Möbius transformation that best aligns two parameterizations-akin to picking a translation and rotation in rigid registration problems. We describe a simple procedure that canonically centers and rotationally aligns two spherical maps. Centering is implemented via elementary operations on triangle meshes in R3, and minimizes area distortion. Alignment is achieved using the FFT over the group of rotations. We examine this procedure in the context of spherical conformal parameterization, orbifold maps, non-rigid symmetry detection, and dense point-to-point surface correspondence.en_US
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]
dc.subjectComputational Geometry and Object Modeling
dc.subjectGeometric algorithms
dc.subjectand systems
dc.titleMöbius Registrationen_US
dc.description.seriesinformationComputer Graphics Forum
dc.description.sectionheadersSpaces and Transformations

Files in this item


This item appears in the following Collection(s)

  • 37-Issue 5
    Geometry Processing 2018 - Symposium Proceedings

Show simple item record