@article{oai:ipsj.ixsq.nii.ac.jp:00010721, author = {金井, 崇 and Takashi, Kanai}, issue = {2}, journal = {情報処理学会論文誌}, month = {Feb}, note = {メッシュの球体パラメータ化は,メッシュを球体に写像する技術であり,コンピュータグラフィックスやCAD/CAMなどの分野での様々な応用が期待されている.本論文では,その中でも品質の高い等角球体パラメータ化に関して,頑健でかつ高速な計算手法を提案する.本手法では,メッシュの多重解像度表現に基づき,その階層構造をパラメータ化計算に利用する.従来手法に比べて高速であり,また球体パラメータを頑健かつ安定して求めることができることを様々な実験を通じて実証する., Spherical parameterization is one of geometry processing techniques which maps a mesh to a sphere, and is expected to the use in the various applications of computer graphics, CAD/CAM and so on. In this paper, we propose a robust and fast computation method for high quality conformal spherical parameterization. Our approach is based on using multiresolution representation of a mesh. We utilize such a hierarchical mesh structure to the computation of parameterization. We demonstrate through several experiments that our approach is faster than the previous approaches and enables robust and stable computation of spherical parameterization.}, pages = {649--657}, title = {頑健かつ高速な等角球体パラメータ化計算手法}, volume = {46}, year = {2005} }