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 2022-06-01 to 2026-06-01.)

Article	Citations
Editorial Board	49
GeoHi-GNN: Geometry-aware hierarchical graph representation learning for normal estimation	30
Basis construction for polynomial spline spaces over arbitrary T-meshes	21
Surface reconstruction of narrow-band guided Gray-Scott model	20
Asynchronous progressive iterative approximation method for least squares fitting	19
Point-StyleGAN: Multi-scale point cloud synthesis with style modulation	17
3D shape descriptor design based on HKS and persistent homology with stability analysis	16
Classification of Dupin cyclidic cubes by their singularities	16
RBF-MAT: Computing medial axis transform from point clouds by optimizing radial basis functions	16
On discrete constant principal curvature surfaces	16
Obituary	13
Log-aesthetic curves and generalized Archimedean spirals	13
Robust surface reconstruction for topology optimization using Catmull-Clark subdivisions	12
Singularity distance computations for 3-RPR manipulators using intrinsic metrics	12
G1 Hermite interpolation method for spatial PH curves with PH planar projections	11
Editorial Board	9
New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves	8
Topological classification of the intersection curves of two quadrics using a set of discriminants	8
Automated placement of dental attachments based on orthodontic pathways	7
Editorial Board	7
FuncScene: Function-centric indoor scene synthesis via a variational autoencoder framework	7
1D CNNs and face-based random walks: A powerful combination to enhance mesh understanding and 3D semantic segmentation	7
Symmetries of planar algebraic vector fields	6
Contact detection between a small ellipsoid and another quadric	6
UVConv: A UV grid-based convolutional neural network for classification and segmentation of 3D CAD models	6

GL-k curves: a family of polynomial curves for intuitive modelling	6
Efficient neural RGB-D indoor scene reconstruction based on normal features	6
A novel heterogeneous deformable surface model based on elasticity	6
D3Former: Jointly learning repeatable dense detectors and feature-enhanced descriptors via saliency-guided transformer	6
Two novel iterative approaches for improved LSPIA convergence	6
A new stable method to compute mean value coordinates	6
A tour d'horizon of de Casteljau's work	5
The architectural application of shells whose boundaries subtend a constant solid angle	5
Interactive structural topology optimization via skeleton control	5
Shear-reduced seamless parametrization	5
Editorial Board	5
A point-normal interpolatory subdivision scheme preserving conics	5
Editorial Board	5
Partition of the space of planar quintic Pythagorean-hodograph curves	5
Shape-preserving interpolation on surfaces via variable-degree splines	5
Evolutionary multi-objective high-order tetrahedral mesh optimization	5
Conversion from NURBS to Bézier representation	5
A geometric perturbation-based method for tolerance analysis	5
Extraction and application of super-smooth cubic B-splines over triangulations	5
An unrefinement algorithm for planar THB-spline parameterizations	5
Editorial Board	4
Corrigendum to “Isotopic equivalence by Bézier curve subdivision for application to high performance computing” [Computer Aided Geometric Design 31 (2013) 642–655]	4
Target face number for quantized global parameterization	4
On the triple-parameter least squares progressive iterative approximation and its convergence analysis	4
Editorial Board	4
A C1 simplex-spline basis for the Alfeld split in	4
Arc-fibration kernels of arc-spline domains	4
Polynomial curves with projections to PH curves	4
Transferable and undefendable point cloud attacks via medial axis transform	4
Genuine multi-sided parametric surface patches – A survey	4
Conics in rational cubic Bézier form made simple	4
3D shape analysis via multi-modal contrastive learning	4
Text-image conditioned diffusion for consistent text-to-3D generation	4
Editorial Board	4
Sharp feature consolidation from raw 3D point clouds via displacement learning	4
Anisotropic triangular meshing using metric-adapted embeddings	3
On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining	3
Editorial Board	3
Real-time volume rendering with octree-based implicit surface representation	3
Alternating size field optimizing and parameterization domain CAD model remeshing	3
Kernel-based construction operators for Boolean sum and ruled geometry	3
An efficient analytical model for the swept volume generation of a flat-end mill in 5-axis CNC milling	3
Automated shape modification to support filament winding	3
SelfSketch2CAD: Self-supervised CAD sequence learning from single-view sketches	3
A note on intrinsic supersmoothness of bivariate semialgebraic splines	3
Resultants of slice regular polynomials in two quaternionic variables	3
Editorial Board	3
Sasaki metric for spline models of manifold-valued trajectories	3
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures	3
Editorial Board	3

Constructing planar domain parameterization with HB-splines via quasi-conformal mapping	3
Classification of polynomial minimal surfaces	3
Computing the cut locus, Voronoi diagram, and signed distance function of polygons	3
Curvature continuous corner cutting	3
Rational framing motions and spatial rational Pythagorean hodograph curves	3
Editorial Board	3
Euler Bézier spirals and Euler B-spline spirals	3
Computer-aided design of lacunar fractal polygons	2
Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants	2
De Casteljau's algorithm in geometric data analysis: Theory and application	2
Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles	2
Geodesic distance approximation using a surface finite element method for the p-Laplacian	2
Symmetry group detection of point clouds in 3D via a decomposition method	2
GPU-accelerated stochastic normal orientation	2
Screw rotor manufacturing via 5-axis flank CNC machining using conical tools	2
Editorial Board	2
Paul de Casteljau: The story of my adventure	2
Projection-driven grid-BSP tree for real-time trimming on GPU	2
Least variation in tool orientation control for 5-axis CNC machining	2
A multilevel feature-based method for mapping sparse point clouds to CAD models	2
Calibrating figures	2
Detecting and parametrizing polynomial surfaces without base points	2
Accurate matrix conversion between Bernstein and h	2
Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes	2
An attention enhanced dual graph neural network for mesh denoising	2
Physics and geometry-augmented neural implicit surfaces for rigid bodies	2
Feature-preserving shrink wrapping with adaptive alpha	2
On the uniqueness of the multirational blossom	2
pκ-Curves: Interpolatory curves with curvature approximating a parabola	2
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints	2
Interactive reverse engineering of CAD models	1
Exact sphere representations over Platonic solids based on rational multisided Bézier patches	1
Discrete Gaussian free field methods for random curve shape generation	1
Localized ‘2-4-3’ conversion of bi-2 C1 splines to bi-3 C2 splines	1
D3AdvM: A direct 3D adversarial sample attack inside mesh data	1
Offsets and front tire tracks to projective hedgehogs	1
Point-normal subdivision curves and surfaces	1
Investigations of a functional version of a blending surface scheme for regular data interpolation	1
On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration	1
Surface patches with rounded corners	1
Approximation of Dupin cyclide patches by ringed surfaces and its application towards curvature-adapted 5-axis CNC machining	1
Editorial Board	1
A quaternion approach to G	1
Detail-preserving shape completion of point cloud models with articulated structure	1
Approximate symmetry detection in noisy 3D data	1
Weighted transfinite interpolation for slightly unstructured curvilinear patches	1
ESA-GS: Elongation splitting and assimilation in Gaussian splatting for accurate surface reconstruction	1
PointeNet: A lightweight framework for effective and efficient point cloud analysis	1
Shape control tools for periodic Bézier curves	1
Editorial Board	1
Editorial Board	1
Computing the Riemannian center of mass on meshes	1
On the accuracy of de Casteljau-type algorithms and Bernstein representations	1
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation	1
Quasi-interpolating bivariate dual 2-subdivision using	1
The cubic de Casteljau construction and some classes of cubic curves on Riemannian manifolds	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
Computing properties of subdivision schemes using small real Fourier indexed matrices	1
LG-HoleNet: A lightweight graph neural network for through-hole recognition via differential geometric attributes	1
Determining the asymptotic family of an implicit curve	1
Paul de Faget de Casteljau, a pioneer in CAGD	1
M-NeuS: Volume rendering based surface reconstruction and material estimation	1
Editorial Board	1
Feature-preserving point cloud filtering via mixture family manifold	1
Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network	1
Euler's elastica and curvature based nonlinear mesh denoising method	1
Fast evaluation of derivatives of Bézier curves	1