Translator Reviews ( Japanese → English )

Japanese

曲面や曲線の弾性エネルギやひずみエネルギは自然界に存在する形状において最小化され，これを美しいとする考え方がある．エネルギ最小化による曲面生成に関して，穂坂らはこの平滑化を自動で行うために曲率の2乗の積分値を曲線の評価関数とした．また穂坂らはこれを実用的なモデルに拡張した．曲面エネルギ最小化に関してはBloorらによっても考察がおこなわれている．また，三角メッシュ曲面の最適形状を考えるにあたり，対話的に曲面編集ができるよう検討したのがBrakkeらである．

English

There is an idea that elastic energy and strain energy of the curved surface and the curve are minimized in a figure existing in nature and this figure is beautiful. As for the curved surface generation by energy minimization, Hosaka and others defined the total squared curvature as curve assessment function in order to smooth them automatically. Hosaka extended this to an practical model. As for the minimization of the curved surface energy, it is brought under review by Bloor and others. Considering an optimum shape of triangulated meshes on the curved surface, Brakke studied it so as to be able to edit the curved surface interactively.