title: Biomechanically Constrained Surface Registration: Application to MR-TRUS Fusion for Prostate Interventions.
abstract: In surface-based registration for image-guided interventions, the presence of missing data can be a significant issue. This often arises with real-time imaging modalities such as ultrasound, where poor contrast can make tissue boundaries difficult to distinguish from surrounding tissue. Missing data poses two challenges: ambiguity in establishing correspondences; and extrapolation of the deformation field to those missing regions. To address these, we present a novel non-rigid registration method. For establishing correspondences, we use a probabilistic framework based on a Gaussian mixture model (GMM) that treats one surface as a potentially partial observation. To extrapolate and constrain the deformation field, we incorporate biomechanical prior knowledge in the form of a finite element model (FEM). We validate the algorithm, referred to as GMM-FEM, in the context of prostate interventions. Our method leads to a significant reduction in target registration error (TRE) compared to similar state-of-the-art registration algorithms in the case of missing data up to 30%, with a mean TRE of 2.6 mm. The method also performs well when full segmentations are available, leading to TREs that are comparable to or better than other surface-based techniques. We also analyze robustness of our approach, showing that GMM-FEM is a practical and reliable solution for surface-based registration.
authors.forename: Siavash
authors.initials: S
authors.lastname: Khallaghi
authors.forename: C Antonio
authors.initials: CA
authors.lastname: Sánchez
authors.forename: Abtin
authors.initials: A
authors.lastname: Rasoulian
authors.forename: Yue
authors.initials: Y
authors.lastname: Sun
authors.forename: Farhad
authors.initials: F
authors.lastname: Imani
authors.forename: Amir
authors.initials: A
authors.lastname: Khojaste
authors.forename: Orcun
authors.initials: O
authors.lastname: Goksel
authors.forename: Cesare
authors.initials: C
authors.lastname: Romagnoli
authors.forename: Hamidreza
authors.initials: H
authors.lastname: Abdi
authors.forename: Silvia
authors.initials: S
authors.lastname: Chang
authors.forename: Parvin
authors.initials: P
authors.lastname: Mousavi
authors.forename: Aaron
authors.initials: A
authors.lastname: Fenster
authors.forename: Aaron
authors.initials: A
authors.lastname: Ward
authors.forename: Sidney
authors.initials: S
authors.lastname: Fels
authors.forename: Purang
authors.initials: P
authors.lastname: Abolmaesumi
mesh_terms: D020342:Finite Element Analysis; D006801:Humans; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008279:Magnetic Resonance Imaging / Q000379:methods*; D008297:Male; D016011:Normal Distribution; D011467:Prostate / Q000000981:diagnostic imaging*; D014463:Ultrasonography