TY - GEN
T1 - Conformal geometric methods in computer vision
AU - Zeng, Wei
AU - Gu, David X.
PY - 2011
Y1 - 2011
N2 - Shape analysis has fundamental importance in computer vision, including surface matching, registration, tracking, classification, recognition, etc. Computational methods based on conformal geometry can map any 3D surface to a 2D canonical domain. They provide a novel approach to 3D problems by converting them to 2D problems, which greatly simplifies the computation process. With this framework, we present a series of matching and registration methods for general surfaces, especially with large non-rigid deformations and complicated topologies. In addition, we introduce a global and unique shape signature for shape recognition applications. Experiments on a variety of real scans from different equipments demonstrate the efficiency and efficacy of the conformal geometric methods in computer vision applications.
AB - Shape analysis has fundamental importance in computer vision, including surface matching, registration, tracking, classification, recognition, etc. Computational methods based on conformal geometry can map any 3D surface to a 2D canonical domain. They provide a novel approach to 3D problems by converting them to 2D problems, which greatly simplifies the computation process. With this framework, we present a series of matching and registration methods for general surfaces, especially with large non-rigid deformations and complicated topologies. In addition, we introduce a global and unique shape signature for shape recognition applications. Experiments on a variety of real scans from different equipments demonstrate the efficiency and efficacy of the conformal geometric methods in computer vision applications.
KW - Conformal mapping
KW - Diffeomorphism
KW - Quasi-conformal mapping
KW - Surface matching
KW - Surface registration
UR - https://www.scopus.com/pages/publications/84857202889
U2 - 10.1109/CEWIT.2011.6135892
DO - 10.1109/CEWIT.2011.6135892
M3 - Conference contribution
SN - 9781457715914
T3 - 2011 8th International Conference and Expo on Emerging Technologies for a Smarter World, CEWIT 2011
BT - 2011 8th International Conference and Expo on Emerging Technologies for a Smarter World, CEWIT 2011
T2 - 2011 8th International Conference and Expo on Emerging Technologies for a Smarter World, CEWIT 2011
Y2 - 2 November 2011 through 3 November 2011
ER -