A Theoretical and Computational Framework for Isometry Invariant Recognition of Point Cloud Data

作者: Facundo Mémoli , Guillermo Sapiro

DOI: 10.1007/S10208-004-0145-Y

关键词:

摘要: … kind of bound holds for the Hausdorff distance between the point clouds once we assume the … their embedding and bending position. Following [25], we introduce the Gromov–Hausdorff …

参考文章(46)
Hanspeter Pfister, Mark Pauly, Matthias Zwicker, Marc Alexa, Markus H. Gross, Marc Stamminger, Point-Based Computer Graphics. eurographics. ,(2002)
Ingwer Borg, Patrick Groenen, Modern multidimensional scaling : theory and applications Modern multidimensional scaling : theory and applications. New York. ,(1997)
Luther P. Eisenhart, Riemannian Geometry ,(1950)
Alexander M. Bronstein, Michael M. Bronstein, Alon Spira, Ron Kimmel, Face Recognition from Facial Surface Metric european conference on computer vision. pp. 225- 237 ,(2004) , 10.1007/978-3-540-24671-8_18
Tamal K. Dey, Joachim Giesen, James Hudson, Decimating samples for mesh simplification. canadian conference on computational geometry. pp. 85- 88 ,(2001)
Mikhael Gromov, Misha Katz, Pierre Pansu, Stephen Semmes, None, Metric Structures for Riemannian and Non-Riemannian Spaces ,(1999)
Dmitri Burago, Yuri Burago, Sergei Ivanov, A Course in Metric Geometry ,(2001)
Facundo Memoli, Guillermo Sapiro, Distance functions and geodesics on points clouds Defense Technical Information Center. ,(2005) , 10.21236/ADA437158