@article{oai:ipsj.ixsq.nii.ac.jp:00094810, author = {Makoto, Fujisawa and Yojiro, Mandachi and KenjiroT.Miura and Makoto, Fujisawa and Yojiro, Mandachi and Kenjiro, T.Miura}, issue = {8}, journal = {情報処理学会論文誌}, month = {Aug}, note = {This paper presents an accurate method for computing the surface velocity which is used to advect the vertex in mesh-based surface tracking. We propose a curvature invariance condition that accurately captures the movement of a surface, especially in the case of rotating objects. The method uses the least-squares method and mesh fairing to solve the problem that the surface velocity would not be calculated when the implicit function defining the surface does not change. We show that the method works well in scenes including rotation and deformation. ------------------------------ This is a preprint of an article intended for publication Journal of Information Processing(JIP). This preprint should not be cited. This article should be cited as: Journal of Information Processing Vol.21(2013) No.4 (online) DOI http://dx.doi.org/10.2197/ipsjjip.21.674 ------------------------------, This paper presents an accurate method for computing the surface velocity which is used to advect the vertex in mesh-based surface tracking. We propose a curvature invariance condition that accurately captures the movement of a surface, especially in the case of rotating objects. The method uses the least-squares method and mesh fairing to solve the problem that the surface velocity would not be calculated when the implicit function defining the surface does not change. We show that the method works well in scenes including rotation and deformation. ------------------------------ This is a preprint of an article intended for publication Journal of Information Processing(JIP). This preprint should not be cited. This article should be cited as: Journal of Information Processing Vol.21(2013) No.4 (online) DOI http://dx.doi.org/10.2197/ipsjjip.21.674 ------------------------------}, title = {Calculation of Velocity on an Implicit Surface by Curvature Invariance}, volume = {54}, year = {2013} }