Optimized Conformal Surface Registration with Shape-based Landmark Matching

Surface registration, which transforms different sets of surface data into one common reference space, is an important process which allows us to compare or integrate the surface data effectively. If a nonrigid transformation is required, surface registration is commonly done by parameterizing the surfaces onto a simple parameter domain, such as the unit square or sphere. In this work, we are interested in looking for meaningful registrations between surfaces through parameterizations, using prior features in the form of landmark curves on the surfaces. In particular, we generate optimized conformal parameterizations which match landmark curves exactly with shape-based correspondences between them. We propose a variational method to minimize a compound energy functional that measures the harmonic energy of the parameterization maps and the shape dissimilarity between mapped points on the landmark curves. The novelty is that the computed maps are guaranteed to align the landmark featu...

• Type: Journal
• Year: 2010
• Where: SIAMIS
• Authors: Lok Ming Lui, Sheshadri R. Thiruvenkadam, Yalin Wang, Paul M. Thompson, Tony F. Chan
• Keywords: Landmark, Shape-based Diffeomorphism, SIAMIS 2010, Surface Data