Results 51 to 60 of about 161 (146)
Axioms, 2020 A marginally trapped surface in a spacetime is a Riemannian surface whose mean curvature vector is lightlike at every point. In this paper we give an up-to-date overview of the differential geometric study of these surfaces in Minkowski, de Sitter, anti ...
Kristof Dekimpe, Joeri Van der Veken
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SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
Computer Graphics Forum, EarlyView.We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
wiley +1 more source
SPD Data Dictionary Learning Based on Kernel Learning and Riemannian Metric
IEEE Access, 2020 The use of regional covariance descriptors to generate feature data represented by Symmetric Positive Definite (SPD) matrices from images or videos has become increasingly common in machine learning.
Rixin Zhuang +3 more
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A DDVV Conjecture for Riemannian Maps
SymmetryThe Wintgen inequality is a significant result in the field of differential geometry, specifically related to the study of submanifolds in Riemannian manifolds. It was discovered by Pierre Wintgen. In the present work, we deal with the Riemannian maps between Riemannian manifolds that serve as a superb method for comparing the geometric structures of ...
Aliya Naaz Siddiqui, Fatemah Mofarreh
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EvolvED: Evolutionary Embeddings to Understand the Generation Process of Diffusion Models
Computer Graphics Forum, EarlyView.EvolvED visualises how diffusion models generate images by embedding intermediate outputs to preserve semantics and evolutionary structure. It supports analysis via (a) user‐defined goals and prompts, (b) sampling intermediate images, (c) extracting relevant features, and (d) visualising them in structured radial and rectilinear layouts for ...
Vidya Prasad +5 more
wiley +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 +4 more
wiley +1 more source
Visualization of the Image Geometric Transformation Group Based on Riemannian Manifold
IEEE Access, 2019 Geometric transformations of images are the predominant factor, which influences the effectiveness of visual tracking and detection tasks in computer vision.
Tianci Liu, Zelin Shi, Yunpeng Liu
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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 +14 more
wiley +1 more source
Nonexistence of stable F-stationary maps of a functional related to pullback metrics
Journal of Inequalities and Applications, 2017 Let M m $M^{m}$ be a compact convex hypersurface in R m + 1 $R^{m+1}$ . In this paper, we prove that if the principal curvatures λ i $\lambda_{i}$ of M m $M^{m}$ satisfy 0 < λ 1 ≤ ⋯ ≤ λ m ...
Jing Li, Fang Liu, Peibiao Zhao
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SEMI-RIEMANNIAN TRANSVERSAL MAPS
Demonstratio Mathematica, 1998 Summary: A generalization of semi-Riemannian submersions to semi-Riemannian transversal maps is given. Also a fundamental equation of a regular, normal semi-Riemannian transversal map is obtained.
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