OOIR: Observatory of International Research

Papers

(The median citation count of Computer Aided Geometric Design is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2022-08-01 to 2026-08-01.)

Article	Citations
Editorial Board	49
GeoHi-GNN: Geometry-aware hierarchical graph representation learning for normal estimation	34
Basis construction for polynomial spline spaces over arbitrary T-meshes	23
Surface reconstruction of narrow-band guided Gray-Scott model	22
RBF-MAT: Computing medial axis transform from point clouds by optimizing radial basis functions	21
Point-StyleGAN: Multi-scale point cloud synthesis with style modulation	20
3D shape descriptor design based on HKS and persistent homology with stability analysis	20
Asynchronous progressive iterative approximation method for least squares fitting	18
On the Riemann-Roch formula: old and new	17
Corrigendum to “Domain decomposition for mean curvature flow of surface polygonal meshes” [Comput. Aided Geom. Des. 127 (2026) 102552]	16
On discrete constant principal curvature surfaces	15
Singularity distance computations for 3-RPR manipulators using intrinsic metrics	14
Log-aesthetic curves and generalized Archimedean spirals	14
Robust surface reconstruction for topology optimization using Catmull-Clark subdivisions	13
GTAvatar: Efficient garment transfer for aligned avatars simultaneously reconstructed from monocular videos	11
Classification of Dupin cyclidic cubes by their singularities	9
1D CNNs and face-based random walks: A powerful combination to enhance mesh understanding and 3D semantic segmentation	9
Geometric multigrid neural networks	9
G1 Hermite interpolation method for spatial PH curves with PH planar projections	8
Automated placement of dental attachments based on orthodontic pathways	8
Editorial Board	8
Symmetries of planar algebraic vector fields	7
Topological classification of the intersection curves of two quadrics using a set of discriminants	7
GL-k curves: a family of polynomial curves for intuitive modelling	7
New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves	7

Editorial Board	7
D3Former: Jointly learning repeatable dense detectors and feature-enhanced descriptors via saliency-guided transformer	7
FuncScene: Function-centric indoor scene synthesis via a variational autoencoder framework	7
Contact detection between a small ellipsoid and another quadric	6
A novel heterogeneous deformable surface model based on elasticity	6
UVConv: A UV grid-based convolutional neural network for classification and segmentation of 3D CAD models	6
Interactive structural topology optimization via skeleton control	6
Two novel iterative approaches for improved LSPIA convergence	6
A new stable method to compute mean value coordinates	6
A point-normal interpolatory subdivision scheme preserving conics	6
Editorial Board	6
Efficient neural RGB-D indoor scene reconstruction based on normal features	6
The architectural application of shells whose boundaries subtend a constant solid angle	6
Conversion from NURBS to Bézier representation	6
Editorial Board	6
Evolutionary multi-objective high-order tetrahedral mesh optimization	5
Extraction and application of super-smooth cubic B-splines over triangulations	5
Editorial Board	5
A geometric perturbation-based method for tolerance analysis	5
Shape-preserving interpolation on surfaces via variable-degree splines	5
Shear-reduced seamless parametrization	5
Conics in rational cubic Bézier form made simple	5
A tour d'horizon of de Casteljau's work	5
An unrefinement algorithm for planar THB-spline parameterizations	5
Partition of the space of planar quintic Pythagorean-hodograph curves	5
Editorial Board	5
Corrigendum to “Isotopic equivalence by Bézier curve subdivision for application to high performance computing” [Computer Aided Geometric Design 31 (2013) 642–655]	4
Resultants of slice regular polynomials in two quaternionic variables	4
Sharp feature consolidation from raw 3D point clouds via displacement learning	4
SelfSketch2CAD: Self-supervised CAD sequence learning from single-view sketches	4
Genuine multi-sided parametric surface patches – A survey	4
3D shape analysis via multi-modal contrastive learning	4
Arc-fibration kernels of arc-spline domains	4
Transferable and undefendable point cloud attacks via medial axis transform	4
On the triple-parameter least squares progressive iterative approximation and its convergence analysis	4
Text-image conditioned diffusion for consistent text-to-3D generation	4
A C1 simplex-spline basis for the Alfeld split in	4
Target face number for quantized global parameterization	4
Editorial Board	4
An algorithmic approach to direct spline products: procedures and computational aspects	4
Polynomial curves with projections to PH curves	4
Curvature continuous corner cutting	4
On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining	3
Editorial Board	3
Computing the cut locus, Voronoi diagram, and signed distance function of polygons	3
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures	3
On the uniqueness of the multirational blossom	3
Geodesic distance approximation using a surface finite element method for the p-Laplacian	3
Physics and geometry-augmented neural implicit surfaces for rigid bodies	3
Euler Bézier spirals and Euler B-spline spirals	3

Real-time volume rendering with octree-based implicit surface representation	3
A note on intrinsic supersmoothness of bivariate semialgebraic splines	3
An efficient analytical model for the swept volume generation of a flat-end mill in 5-axis CNC milling	3
Rational framing motions and spatial rational Pythagorean hodograph curves	3
Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles	3
Feature-preserving shrink wrapping with adaptive alpha	3
Automated shape modification to support filament winding	3
Alternating size field optimizing and parameterization domain CAD model remeshing	3
Sasaki metric for spline models of manifold-valued trajectories	3
Editorial Board	3
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping	3
Editorial Board	3
Kernel-based construction operators for Boolean sum and ruled geometry	3
Editorial Board	3
A multilevel feature-based method for mapping sparse point clouds to CAD models	3
Calibrating figures	3
Anisotropic triangular meshing using metric-adapted embeddings	3
Symmetry group detection of point clouds in 3D via a decomposition method	2
GPU-accelerated stochastic normal orientation	2
An attention enhanced dual graph neural network for mesh denoising	2
Accurate matrix conversion between Bernstein and h	2
Editorial Board	2
Surface patches with rounded corners	2
Bivariate range functions with superior convergence order	2
Computer-aided design of lacunar fractal polygons	2
pκ-Curves: Interpolatory curves with curvature approximating a parabola	2
Projection-driven grid-BSP tree for real-time trimming on GPU	2
Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes	2
Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants	2
Approximation of Dupin cyclide patches by ringed surfaces and its application towards curvature-adapted 5-axis CNC machining	2
Paul de Casteljau: The story of my adventure	2
Editorial Board	2
De Casteljau's algorithm in geometric data analysis: Theory and application	2
Screw rotor manufacturing via 5-axis flank CNC machining using conical tools	2
Detecting and parametrizing polynomial surfaces without base points	2
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints	2
Euler's elastica and curvature based nonlinear mesh denoising method	2
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation	2
The cubic de Casteljau construction and some classes of cubic curves on Riemannian manifolds	1
A quaternion approach to G	1
Investigations of a functional version of a blending surface scheme for regular data interpolation	1
Editorial Board	1
On the accuracy of de Casteljau-type algorithms and Bernstein representations	1
Feature-preserving point cloud filtering via mixture family manifold	1
Wavelet-based global orientation and surface reconstruction for sparse point clouds	1
Editorial Board	1
G1 interpolation of v-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines	1
A geometric characterisation of PH-cubics via the focus of the cusp curve	1
Editorial Board	1
LG-HoleNet: A lightweight graph neural network for through-hole recognition via differential geometric attributes	1
M-NeuS: Volume rendering based surface reconstruction and material estimation	1
Shape control tools for periodic Bézier curves	1
D3AdvM: A direct 3D adversarial sample attack inside mesh data	1
Point-normal subdivision curves and surfaces	1
Computing the Riemannian center of mass on meshes	1
Fast evaluation of derivatives of Bézier curves	1
Voxel-to-tet meshing for density-based topology optimization	1
Paul de Faget de Casteljau, a pioneer in CAGD	1
Local implicit progressive iterative approximation for curve and surface reconstruction	1
Discrete Gaussian free field methods for random curve shape generation	1
Weighted transfinite interpolation for slightly unstructured curvilinear patches	1
Offsets and front tire tracks to projective hedgehogs	1
Quasi-interpolating bivariate dual 2-subdivision using	1
ESA-GS: Elongation splitting and assimilation in Gaussian splatting for accurate surface reconstruction	1
Determining the asymptotic family of an implicit curve	1
PointeNet: A lightweight framework for effective and efficient point cloud analysis	1
Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network	1
3D dental model hole filling based on adaptive threshold region segmentation	1
On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration	1
Approximate symmetry detection in noisy 3D data	1
Localized ‘2-4-3’ conversion of bi-2 C1 splines to bi-3 C2 splines	1
Computing properties of subdivision schemes using small real Fourier indexed matrices	1
Interactive reverse engineering of CAD models	1