Panine, Mikhail Kirgo, Maxime Ovsjanikov, Maks 2022 We propose a principled approach for non-isometric landmark-preserving non-rigid shape matching. Our method is based on the functional map framework, but rather than promoting isometries we focus on near-conformal maps that preserve landmarks exactly. We achieve this, first, by introducing a novel landmark-adapted basis using an intrinsic Dirichlet-Steklov eigenproblem. Second, we establish the functional decomposition of conformal maps expressed in this basis. Finally, we formulate a conformally-invariant energy that promotes high-quality landmark-preserving maps, and show how it can be optimized via a variant of the recently proposed ZoomOut method that we extend to our setting. Our method is descriptor-free, efficient and robust to significant mesh variability. We evaluate our approach on a range of benchmark datasets and demonstrate state-of-the-art performance on non-isometric benchmarks and near state-of-the-art performance on isometric ones. application/pdf https://susi.usi.ch/global/documents/325617 https://n2t.net/ark:/12658/srd1325617 https://susi.usi.ch/documents/325617/files/Panine_2022_Wiley_cgf.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1111/cgf.14579 info:eu-repo/semantics/altIdentifier/ark/12658/srd1325617 info:eu-repo/semantics/openAccess CC BY Computer graphics forum. - 2022, vol. 41, p. 394-417 Functional maps Landmark-based correspondence Shape matching info:eu-repo/classification/udc/004 Non-isometric shape matching via functional maps on landmark-adapted bases http://purl.org/coar/resource_type/c_6501