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 2021-09-01 to 2025-09-01.)

Article	Citations
Editorial Board	43
Point-StyleGAN: Multi-scale point cloud synthesis with style modulation	25
RBF-MAT: Computing medial axis transform from point clouds by optimizing radial basis functions	17
3D shape descriptor design based on HKS and persistent homology with stability analysis	15
Asynchronous progressive iterative approximation method for least squares fitting	14
GeoHi-GNN: Geometry-aware hierarchical graph representation learning for normal estimation	14
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics	13
A simple formula for the computation of branches and asymptotes of curves and some applications	12
On discrete constant principal curvature surfaces	12
Classification of Dupin cyclidic cubes by their singularities	12
Log-aesthetic curves and generalized Archimedean spirals	12
Singularity distance computations for 3-RPR manipulators using intrinsic metrics	12
Obituary	11
G1 Hermite interpolation method for spatial PH curves with PH planar projections	11
Editorial Board	11
Automated placement of dental attachments based on orthodontic pathways	10
Pythagorean-hodograph curves of Tschirnhaus type are sinusoidal spirals	10
1D CNNs and face-based random walks: A powerful combination to enhance mesh understanding and 3D semantic segmentation	10
Multi-resolution 3D CNN for learning multi-scale spatial features in CAD models	8
Topological classification of the intersection curves of two quadrics using a set of discriminants	8
New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves	8
FuncScene: Function-centric indoor scene synthesis via a variational autoencoder framework	8
Surfaces containing two isotropic circles through each point	7
Editorial Board	7
Editorial - Special issue of the SIAM Conference on Computational Geometric Design (GD 2021)	6

Two novel iterative approaches for improved LSPIA convergence	6
Contact detection between a small ellipsoid and another quadric	6
D3Former: Jointly learning repeatable dense detectors and feature-enhanced descriptors via saliency-guided transformer	6
Efficient neural RGB-D indoor scene reconstruction based on normal features	6
Symmetries of planar algebraic vector fields	6
Geometric approximation of the sphere by triangular polynomial spline patches	6
Conversion from NURBS to Bézier representation	5
Evolutionary multi-objective high-order tetrahedral mesh optimization	5
Approximation by polynomial splines on curved triangulations	5
The architectural application of shells whose boundaries subtend a constant solid angle	5
Editorial Board	5
A novel heterogeneous deformable surface model based on elasticity	5
A new stable method to compute mean value coordinates	5
A point-normal interpolatory subdivision scheme preserving conics	4
Partition of the space of planar quintic Pythagorean-hodograph curves	4
Extraction and application of super-smooth cubic B-splines over triangulations	4
Conics in rational cubic Bézier form made simple	4
A tour d'horizon of de Casteljau's work	4
Shape-preserving interpolation on surfaces via variable-degree splines	4
Editorial Board	4
Shear-reduced seamless parametrization	4
Affine invariant triangulations	4
An unrefinement algorithm for planar THB-spline parameterizations	4
h-Refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis	4
On the triple-parameter least squares progressive iterative approximation and its convergence analysis	3
Editorial Board	3
IGA-Reuse-NET: A deep-learning-based isogeometric analysis-reuse approach with topology-consistent parameterization	3
Self-attention implicit function networks for 3D dental data completion	3
Editorial Board	3
Curvature continuous corner cutting	3
Sharp feature consolidation from raw 3D point clouds via displacement learning	3
Polynomial curves with projections to PH curves	3
A C1 simplex-spline basis for the Alfeld split in R	3
Curve approximation by G1 arc splines with a limited number of types of curvature and length	3
Classification of polynomial minimal surfaces	3
3D shape analysis via multi-modal contrastive learning	3
Non-uniform interpolatory subdivision schemes with improved smoothness	3
Genuine multi-sided parametric surface patches – A survey	3
Text-image conditioned diffusion for consistent text-to-3D generation	3
Multi-stable design of triangulated origami structures on cones of revolution	3
Real-time volume rendering with octree-based implicit surface representation	3
On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining	3
Least variation in tool orientation control for 5-axis CNC machining	2
Editorial Board	2
An attention enhanced dual graph neural network for mesh denoising	2
Symmetry group detection of point clouds in 3D via a decomposition method	2
Feature-preserving shrink wrapping with adaptive alpha	2
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures	2
On the uniqueness of the multirational blossom	2
Kernel-based construction operators for Boolean sum and ruled geometry	2

Rational framing motions and spatial rational Pythagorean hodograph curves	2
Euler Bézier spirals and Euler B-spline spirals	2
Curve-guided 5-axis CNC flank milling of free-form surfaces using custom-shaped tools	2
Computing the cut locus, Voronoi diagram, and signed distance function of polygons	2
Detecting and parametrizing polynomial surfaces without base points	2
De Casteljau's algorithm in geometric data analysis: Theory and application	2
A multilevel feature-based method for mapping sparse point clouds to CAD models	2
Projection-driven grid-BSP tree for real-time trimming on GPU	2
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping	2
An efficient analytical model for the swept volume generation of a flat-end mill in 5-axis CNC milling	2
A note on intrinsic supersmoothness of bivariate semialgebraic splines	2
Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles	2
Sasaki metric for spline models of manifold-valued trajectories	2
Calibrating figures	2
Alternating size field optimizing and parameterization domain CAD model remeshing	2
pκ-Curves: Interpolatory curves with curvature approximating a parabola	2
Physics and geometry-augmented neural implicit surfaces for rigid bodies	2
Geodesic distance approximation using a surface finite element method for the p-Laplacian	2
Editorial Board	2
Resultants of slice regular polynomials in two quaternionic variables	2
Anisotropic triangular meshing using metric-adapted embeddings	2
Editorial Board	2
Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants	1
M-NeuS: Volume rendering based surface reconstruction and material estimation	1
Editorial Board	1
Exact sphere representations over Platonic solids based on rational multisided Bézier patches	1
ESA-GS: Elongation splitting and assimilation in Gaussian splatting for accurate surface reconstruction	1
Computing the Riemannian center of mass on meshes	1
Editorial Board	1
Interactive reverse engineering of CAD models	1
On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration	1
Offsets and front tire tracks to projective hedgehogs	1
On the accuracy of de Casteljau-type algorithms and Bernstein representations	1
A parallel algorithm for computing Voronoi diagram of a set of circles using touching disc and topology matching	1
A dynamic sampling approach towards computing Voronoi diagram of a set of circles	1
Editorial Board	1
Screw rotor manufacturing via 5-axis flank CNC machining using conical tools	1
Determining the asymptotic family of an implicit curve	1
Editorial Board	1
Detail-preserving shape completion of point cloud models with articulated structure	1
Editorial Board	1
Computing properties of subdivision schemes using small real Fourier indexed matrices	1
G1 interpolation of v-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines	1
Point-normal subdivision curves and surfaces	1
Paul de Faget de Casteljau, a pioneer in CAGD	1
Feature-preserving point cloud filtering via mixture family manifold	1
Investigations of a functional version of a blending surface scheme for regular data interpolation	1
PointeNet: A lightweight framework for effective and efficient point cloud analysis	1
Intrinsic mixed-integer polycubes for hexahedral meshing	1
Paul de Casteljau: The story of my adventure	1
GPU-based supervoxel segmentation for 3D point clouds	1
Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes	1
Euler's elastica and curvature based nonlinear mesh denoising method	1
D3AdvM: A direct 3D adversarial sample attack inside mesh data	1
Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications	1
Discrete Gaussian free field methods for random curve shape generation	1
Quasi-interpolating bivariate dual 2-subdivision using	1
Data approximation by L1 spline fits with free knots	1
The cubic de Casteljau construction and some classes of cubic curves on Riemannian manifolds	1
Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network	1
Shape control tools for periodic Bézier curves	1
Fast evaluation of derivatives of Bézier curves	1
Editorial Board	1
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation	1
Surface patches with rounded corners	1
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints	1