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Winding Numbers on Discrete Surfaces

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/9781118032527openalex-snapshot
Principles of Algebraic Geometry
inferredcites →https://doi.org/10.1007/978-3-642-27413-8_12openalex-snapshot
Practical Mixed-Integer Optimization for Geometry Processing
inferredcites →https://doi.org/10.1007/bf01264913openalex-snapshot
A new formula for winding number
inferredcites →https://doi.org/10.1007/bf01428050openalex-snapshot
Winding numbers on surfaces, I
inferredcites →https://doi.org/10.1007/bfb0095978openalex-snapshot
Hodge Decomposition—A Method for Solving Boundary Value Problems
inferredcites →https://doi.org/10.1016/0016-0032(54)90053-8openalex-snapshot
A treatise on electricity and magnetism
inferredcites →https://doi.org/10.1016/b978-0-12-336156-1.50013-6openalex-snapshot
Point in Polygon Strategies
inferredcites →https://doi.org/10.1016/j.cad.2016.05.004openalex-snapshot
Boundary-aware hodge decompositions for piecewise constant vector fields
inferredcites →https://doi.org/10.1016/j.cag.2021.10.015openalex-snapshot
As-rigid-as-possible volume tracking for time-varying surfaces
inferredcites →https://doi.org/10.1016/j.enganabound.2009.06.009openalex-snapshot
A comparison of two methods for calculating solid angle coefficients in a BIEM numerical wave tank
inferredcites →https://doi.org/10.1016/s0893-9659(00)00161-0openalex-snapshot
The jump problem for the laplace equation
inferredcites →https://doi.org/10.1038/s41563-021-01114-zopenalex-snapshot
Three-dimensional atomic packing in amorphous solids with liquid-like structure
inferredcites →https://doi.org/10.1088/1751-8121/aad8c6openalex-snapshot
Maxwell’s theory of solid angle and the construction of knotted fields
inferredcites →https://doi.org/10.1090/s1061-0022-09-01075-9openalex-snapshot
On generalized winding numbers
inferredcites →https://doi.org/10.1109/iccv48922.2021.00331openalex-snapshot
GarmentNets: Category-Level Pose Estimation for Garments via Canonical Space Shape Completion
inferredcites →https://doi.org/10.1111/cgf.14077openalex-snapshot
Poisson Surface Reconstruction with Envelope Constraints
inferredcites →https://doi.org/10.1111/cgf.14367openalex-snapshot
Surface Map Homology Inference
inferredcites →https://doi.org/10.1112/plms/s3-58.2.366openalex-snapshot
A Generalization of Winding Number Functions on Surfaces
inferredcites →https://doi.org/10.1145/1185657.1185665openalex-snapshot
Discrete differential forms for computational modeling
inferredcites →https://doi.org/10.1145/1391989.1391995openalex-snapshot
Algorithm 887
inferredcites →https://doi.org/10.1145/1806689.1806721openalex-snapshot
Optimal homologous cycles, total unimodularity, and linear programming
inferredcites →https://doi.org/10.1145/218380.218498openalex-snapshot
Optimally combining sampling techniques for Monte Carlo rendering
inferredcites →https://doi.org/10.1145/2185520.2185570openalex-snapshot
Diffusion curve textures for resolution independent texture mapping
inferredcites →https://doi.org/10.1145/2461912.2461916openalex-snapshot
Robust inside-outside segmentation using generalized winding numbers
inferredcites →https://doi.org/10.1145/2601097.2601154openalex-snapshot
Robust field-aligned global parametrization
inferredcites →https://doi.org/10.1145/2766945openalex-snapshot
High-quality streamable free-viewpoint video
inferredcites →https://doi.org/10.1145/2767000openalex-snapshot
Stripe patterns on surfaces
inferredcites →https://doi.org/10.1145/2897824.2925901openalex-snapshot
Mesh arrangements for solid geometry
inferredcites →https://doi.org/10.1145/3132705openalex-snapshot
Boundary First Flattening
inferredcites →https://doi.org/10.1145/3134472.3134497openalex-snapshot
libigl
inferredcites →https://doi.org/10.1145/3145749.3149435openalex-snapshot
SeamCut
inferredcites →https://doi.org/10.1145/3197517.3201337openalex-snapshot
Fast winding numbers for soups and clouds
inferredcites →https://doi.org/10.1145/3197517.3201353openalex-snapshot
Tetrahedral meshing in the wild
inferredcites →https://doi.org/10.1145/3306346.3322979openalex-snapshot
Navigating intrinsic triangulations
inferredcites →https://doi.org/10.1145/3306346.3323029openalex-snapshot
Symmetric moving frames
inferredcites →https://doi.org/10.1145/3414685.3417839openalex-snapshot
You can find geodesic paths in triangle meshes by just flipping edges
inferredcites →https://doi.org/10.1145/3450508.3464592openalex-snapshot
Geometry processing with intrinsic triangulations
inferredcites →https://doi.org/10.1145/3450626.3459781openalex-snapshot
Computing minimal surfaces with differential forms
inferredcites →https://doi.org/10.1145/3478513.3480522openalex-snapshot
Integer coordinates for intrinsic geometry processing
inferredcites →https://doi.org/10.1145/3550454.3555466openalex-snapshot
BoolSurf
inferredcites →https://doi.org/10.1145/3610548.3618162openalex-snapshot
Neural Stochastic Poisson Surface Reconstruction
inferredcites →https://doi.org/10.1145/368637.368653openalex-snapshot
Algorithm 112: Position of point relative to polygon
inferredcites →https://doi.org/10.5555/1070432.1070581openalex-snapshot
Greedy optimal homotopy and homology generators
inferredcites →https://doi.org/10.5802/aifopenalex-snapshot
Annales de l'Institut Fourier

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-031-72970-6_17openalex-snapshot
WindPoly: Polygonal Mesh Reconstruction via Winding Numbers
inferred← citeshttps://doi.org/10.1016/j.cad.2025.103930openalex-snapshot
Winding clearness for differentiable point cloud optimization
inferred← citeshttps://doi.org/10.1093/europace/euag145openalex-snapshot
Role of interatrial connection ablation in re-entry dynamics: an in silico evaluation
inferred← citeshttps://doi.org/10.1109/jiot.2026.3703596openalex-snapshot
PPPV: Privacy-Preserving Position Verification for Internet of Vehicles Monitoring Against Malicious Attacks
inferred← citeshttps://doi.org/10.1111/cgf.15141openalex-snapshot
Winding Number Features for Vector Sketch Colorization
inferred← citeshttps://doi.org/10.1111/cgf.70194openalex-snapshot
One‐Shot Method for Computing Generalized Winding Numbers
inferred← citeshttps://doi.org/10.1145/3592398openalex-snapshot
Walk on Stars: A Grid-Free Monte Carlo Method for PDEs with Neumann Boundary Conditions
inferred← citeshttps://doi.org/10.1145/3641519.3657475openalex-snapshot
Consistent Point Orientation for Manifold Surfaces via Boundary Integration
inferred← citeshttps://doi.org/10.1145/3658153openalex-snapshot
Walkin’ Robin: Walk on Stars with Robin Boundary Conditions
inferred← citeshttps://doi.org/10.1145/3658220openalex-snapshot
A Heat Method for Generalized Signed Distance
inferred← citeshttps://doi.org/10.1145/3680528.3687569openalex-snapshot
GauWN: Gaussian-smoothed Winding Number and its Derivatives
inferred← citeshttps://doi.org/10.1145/3687914openalex-snapshot
3D Reconstruction with Fast Dipole Sums
inferred← citeshttps://doi.org/10.1145/3721238.3730597openalex-snapshot
Lifting the Winding Number: Precise Discontinuities in Neural Fields for Physics Simulation
inferred← citeshttps://doi.org/10.1145/3727873openalex-snapshot
Diffusing Winding Gradients (DWG): A Parallel and Scalable Method for 3D Reconstruction from Unoriented Point Clouds
inferred← citeshttps://doi.org/10.1145/3730886openalex-snapshot
Closed-form Generalized Winding Numbers of Rational Parametric Curves for Robust Containment Queries
inferred← citeshttps://doi.org/10.1145/3757377.3763847openalex-snapshot
Solid-Shell Labeling for Discrete Surfaces
inferred← citeshttps://doi.org/10.1145/3811339openalex-snapshot
Fast and Exact Winding Numbers for Triangle Meshes
inferred← citeshttps://doi.org/10.1145/3811385openalex-snapshot
Points as Tori: Fast Pointwise Signed Distance for Point Clouds
inferred← citeshttps://doi.org/10.3390/sym17101727openalex-snapshot
GeoText: Geodesic-Based 3D Text Generation on Triangular Meshes
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