An Elastic Basis for Spectral Shape Correspondence
Florine Hartwig, Josua Sassen, Omri Azencot, Martin Rumpf and Mirela Ben-Chen. SIGGRAPH conference, 2023. Abstract Finding correspondences between shapes is a central task in geometry processing with applications such as texture or deformation transfer and shape interpolation. We develop a spectral method for finding correspondences between non-isometric shapes that aligns extrinsic features. For this, we propose a novel crease aware spectral basis, that is derived from the Hessian of an elastic thin shell energy. We incorporate this basis in a functional map framework and demonstrate the effectiveness of our approach for mapping non-isometric shapes such that prominent features are put…
Consistent Functional Cross Field Design for Mesh Quadrangulation
Omri Azencot, Etienne Corman, Mirela Ben-Chen and Maks Ovsjanikov. SIGGRAPH 2017 / ACM Transactions on Graphics (TOG). Abstract We propose a novel technique for computing consistent cross fields on a pair of triangle meshes given an input correspondence, which we use as guiding fields for approximately consistent quadrangulations. Unlike the majority of existing methods our approach does not assume that the meshes share the same connectivity or even have the same number of vertices, and furthermore does not place any restrictions on the topology (genus) of the shapes. Importantly, our method is robust with respect to small perturbations of the…
Map-Based Exploration of Intrinsic Shape Differences and Variability
Raif Rustamov, Maks Ovsjanikov, Omri Azencot, Mirela Ben-Chen, Frédéric Chazal and Leonidas Guibas. SIGGRAPH 2013 / ACM Transactions on Graphics. Abstract We develop a novel formulation for the notion of shape differences, aimed at providing detailed information about the location and nature of the differences or distortions between the two shapes being compared. Our difference operator, derived from a shape map, is much more informative than just a scalar global shape similarity score, rendering it useful in a variety of applications where more refined shape comparisons are necessary. The approach is intrinsic and is based on a linear algebraic framework, allowing the use of many common linear algebra…