Results 41 to 50 of about 122 (118)

Zeroth-Order Riemannian Adaptive Regularized Proximal Quasi-Newton Optimization Method

Axioms
Recently, the adaptive regularized proximal quasi-Newton (ARPQN) method has demonstrated a strong performance in solving composite optimization problems over the Stiefel manifold.
Yinpu Ma, Cunlin Li, Zhichao Wang, Qian Li   +3 more
doaj   +1 more source

Survey on differential estimators for 3d point clouds

Computer Graphics Forum, EarlyView.
Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger, Thibault Lejemble, David Coeurjolly, Loïc Barthe, Nicolas Mellado   +4 more
wiley   +1 more source

On the geometry of complete spacelike LW-submanifolds in locally symmetric semi-Riemannian spaces

Journal of Geometry and Physics
Let $M^{n}$ be an $n$-dimensional complete spacelike linear Weingarten submanifold immersed in a locally symmetric semi-Riemannian space $\mathbb{L}_{q}^{n+p}$ of index $q$, with parallel normalized mean curvature vector field and flat normal bundle.
Jogli G.S. Araújo, Weiller F.C. Barboza
openaire   +2 more sources

Non‐Rigid 3D Shape Correspondences: From Foundations to Open Challenges and Opportunities

Computer Graphics Forum, EarlyView.
Abstract Estimating correspondences between deformed shape instances is a long‐standing problem in computer graphics; numerous applications, from texture transfer to statistical modelling, rely on recovering an accurate correspondence map. Many methods have thus been proposed to tackle this challenging problem from varying perspectives, depending on ...
A. Zhuravlev, L. Bastian, D. Cao, N. El Amrani, P. Roetzer, V. Ehm, R. Marin, H. Nishizawa, S. Morishima, C. Theobalt, N. Navab, D. Cremers, F. Bernard, Z. Lähner, V. Golyanik   +14 more
wiley   +1 more source

Establishing Shape Correspondences: A Survey

Computer Graphics Forum, EarlyView.
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley   +1 more source

Embedding Riemannian Collective Background Knowledge for Offline Signature Verification

Machine Learning and Knowledge Extraction
While handwritten signatures are a staple of biometric authentication, conventional verification models typically rely on Euclidean space assumptions, restricting the capture of complex, intrinsic signature structures.
Evangelos Mitikas, Christos Chorianopoulos, Elias Zois   +2 more
doaj   +1 more source

Differentiable Randers‐Finsler Eikonal Solvers

Computer Graphics Forum, EarlyView.
Abstract Fast and differentiable solvers for anisotropic and asymmetric distance fields are a key primitive in geometry processing, enabling gradient‐based optimization over metrics, drift fields, and downstream objectives that depend on geodesic distances and geodesics.
Barak Gahtan, Jacob Shpund, Alex M. Bronstein   +2 more
wiley   +1 more source

Information-Geometric Models in Data Analysis and Physics

Mathematics
Information geometry provides a data-informed geometric lens for understanding data or physical systems, treating data or physical states as points on statistical manifolds endowed with information metrics, such as the Fisher information.
D. Bernal-Casas, José M. Oller
doaj   +1 more source

Arti4D: Statistical Analysis and Modelling of the Spatio‐temporal Variability in Articulated 4D Shapes

Computer Graphics Forum, EarlyView.
Abstract We propose a novel framework for the statistical modeling and analysis of the spatio‐temporal shape variability in articulated 4D (i.e., 3D + time) shapes such as human bodies and animals. We treat articulated 3D shapes, represented using parametric models such as SMPL or its variants, as elements of the product space of shape and pose ...
Z. Li, A. Amrani, S. Rai, H. Laga
wiley   +1 more source

Difference and the Liberation of Sufficient Reason

European Journal of Philosophy, EarlyView.
Abstract The Principle of Sufficient Reason (PSR) holds that every event and entity can be explained by a sufficient reason or cause. Philosophers have long struggled with the question of the PSR's compatibility with freedom, for if what occurs or exists follows necessarily from its sufficient reason then it seems it could not have been otherwise ...
Louis Matheou
wiley   +1 more source