Sliding at First-Order: Higher-Order Momentum Distributions for Discontinuous Image Registration
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Sliding at First-Order: Higher-Order Momentum Distributions for Discontinuous Image Registration. / Bao, Lili; Lu, Jiahao; Ying, Shihui; Sommer, Stefan.
I: SIAM Journal on Imaging Sciences, Bind 17, Nr. 2, 2024, s. 861-887.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Sliding at First-Order: Higher-Order Momentum Distributions for Discontinuous Image Registration
AU - Bao, Lili
AU - Lu, Jiahao
AU - Ying, Shihui
AU - Sommer, Stefan
PY - 2024
Y1 - 2024
N2 - In this paper, we propose a new approach to deformable image registration that captures sliding motions. The large deformation diffeomorphic metric mapping (LDDMM) registration method faces challenges in representing sliding motion since it per construction generates smooth warps. To address this issue, we extend LDDMM by incorporating both zeroth- and first-order momenta with a nondifferentiable kernel. This allows us to represent both discontinuous deformation at switching boundaries and diffeomorphic deformation in homogeneous regions. We provide a mathematical analysis of the proposed deformation model from the viewpoint of discontinuous systems. To evaluate our approach, we conduct experiments on both artificial images and the publicly available DIR-Lab 4DCT dataset. Results show the effectiveness of our approach in capturing plausible sliding motion.
AB - In this paper, we propose a new approach to deformable image registration that captures sliding motions. The large deformation diffeomorphic metric mapping (LDDMM) registration method faces challenges in representing sliding motion since it per construction generates smooth warps. To address this issue, we extend LDDMM by incorporating both zeroth- and first-order momenta with a nondifferentiable kernel. This allows us to represent both discontinuous deformation at switching boundaries and diffeomorphic deformation in homogeneous regions. We provide a mathematical analysis of the proposed deformation model from the viewpoint of discontinuous systems. To evaluate our approach, we conduct experiments on both artificial images and the publicly available DIR-Lab 4DCT dataset. Results show the effectiveness of our approach in capturing plausible sliding motion.
U2 - 10.1137/23M1558665
DO - 10.1137/23M1558665
M3 - Journal article
VL - 17
SP - 861
EP - 887
JO - SIAM Journal on Imaging Sciences
JF - SIAM Journal on Imaging Sciences
SN - 1936-4954
IS - 2
ER -
ID: 387837499