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 2021-08-01 to 2025-08-01.)

Article	Citations
Editorial Board	42
Point-StyleGAN: Multi-scale point cloud synthesis with style modulation	24
RBF-MAT: Computing medial axis transform from point clouds by optimizing radial basis functions	16
3D shape descriptor design based on HKS and persistent homology with stability analysis	14
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics	12
Singularity distance computations for 3-RPR manipulators using intrinsic metrics	12
GeoHi-GNN: Geometry-aware hierarchical graph representation learning for normal estimation	12
On discrete constant principal curvature surfaces	12
Asynchronous progressive iterative approximation method for least squares fitting	12
Classification of Dupin cyclidic cubes by their singularities	11
Editorial Board	11
A simple formula for the computation of branches and asymptotes of curves and some applications	11
Obituary	11
G1 Hermite interpolation method for spatial PH curves with PH planar projections	11
FuncScene: Function-centric indoor scene synthesis via a variational autoencoder framework	10
Automated placement of dental attachments based on orthodontic pathways	10
Topological classification of the intersection curves of two quadrics using a set of discriminants	10
Pythagorean-hodograph curves of Tschirnhaus type are sinusoidal spirals	10
New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves	10
1D CNNs and face-based random walks: A powerful combination to enhance mesh understanding and 3D semantic segmentation	10
Editorial Board	8
Multi-resolution 3D CNN for learning multi-scale spatial features in CAD models	8
Surfaces containing two isotropic circles through each point	8
Editorial - Special issue of the SIAM Conference on Computational Geometric Design (GD 2021)	7
Symmetries of planar algebraic vector fields	6

Contact detection between a small ellipsoid and another quadric	6
Two novel iterative approaches for improved LSPIA convergence	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
Geometric approximation of the sphere by triangular polynomial spline patches	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
Editorial Board	5
A novel heterogeneous deformable surface model based on elasticity	5
A new stable method to compute mean value coordinates	5
Conversion from NURBS to Bézier representation	5
Evolutionary multi-objective high-order tetrahedral mesh optimization	5
A point-normal interpolatory subdivision scheme preserving conics	4
Affine invariant triangulations	4
An unrefinement algorithm for planar THB-spline parameterizations	4
A tour d'horizon of de Casteljau's work	4
Note on planar Pythagorean hodograph curves of Tschirnhaus type	4
Partition of the space of planar quintic Pythagorean-hodograph curves	4
Shape-preserving interpolation on surfaces via variable-degree splines	4
Genuine multi-sided parametric surface patches – A survey	3
Conics in rational cubic Bézier form made simple	3
Polynomial curves with projections to PH curves	3
A C1 simplex-spline basis for the Alfeld split in R	3
Self-attention implicit function networks for 3D dental data completion	3
Editorial Board	3
Editorial Board	3
On the triple-parameter least squares progressive iterative approximation and its convergence analysis	3
Shear-reduced seamless parametrization	3
Curve approximation by G1 arc splines with a limited number of types of curvature and length	3
Multi-stable design of triangulated origami structures on cones of revolution	3
A phase-field approach to variational hierarchical surface segmentation	3
Classification of polynomial minimal surfaces	3
Editorial Board	3
h-Refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis	3
Sharp feature consolidation from raw 3D point clouds via displacement learning	3
Non-uniform interpolatory subdivision schemes with improved smoothness	3
IGA-Reuse-NET: A deep-learning-based isogeometric analysis-reuse approach with topology-consistent parameterization	3
3D shape analysis via multi-modal contrastive learning	3
Real-time volume rendering with octree-based implicit surface representation	3
Text-image conditioned diffusion for consistent text-to-3D generation	3
Extraction and application of super-smooth cubic B-splines over triangulations	3
Curvature continuous corner cutting	2
Editorial Board	2
Planar class A Bézier curves: The case of real eigenvalues	2
Sasaki metric for spline models of manifold-valued trajectories	2
Editorial Board	2
De Casteljau's algorithm in geometric data analysis: Theory and application	2
Geodesic distance approximation using a surface finite element method for the p-Laplacian	2
Calibrating figures	2

A multilevel feature-based method for mapping sparse point clouds to CAD models	2
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping	2
On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining	2
On the uniqueness of the multirational blossom	2
Computing the cut locus, Voronoi diagram, and signed distance function of polygons	2
Anisotropic triangular meshing using metric-adapted embeddings	2
Projection-driven grid-BSP tree for real-time trimming on GPU	2
Alternating size field optimizing and parameterization domain CAD model remeshing	2
Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles	2
Physics and geometry-augmented neural implicit surfaces for rigid bodies	2
Rational framing motions and spatial rational Pythagorean hodograph curves	2
Resultants of slice regular polynomials in two quaternionic variables	2
An efficient analytical model for the swept volume generation of a flat-end mill in 5-axis CNC milling	2
Least variation in tool orientation control for 5-axis CNC machining	2
Euler Bézier spirals and Euler B-spline spirals	2
Multi-sided B-spline surfaces over curved, multi-connected domains	2
Editorial Board	2
A note on intrinsic supersmoothness of bivariate semialgebraic splines	2
Feature-preserving shrink wrapping with adaptive alpha	2
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures	2
Kernel-based construction operators for Boolean sum and ruled geometry	2
On the accuracy of de Casteljau-type algorithms and Bernstein representations	1
Editorial Board	1
Computing the Riemannian center of mass on meshes	1
Paul de Faget de Casteljau, a pioneer in CAGD	1
Paul de Casteljau: The story of my adventure	1
D3AdvM: A direct 3D adversarial sample attack inside mesh data	1
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints	1
Investigations of a functional version of a blending surface scheme for regular data interpolation	1
Editorial Board	1
Screw rotor manufacturing via 5-axis flank CNC machining using conical tools	1
pκ-Curves: Interpolatory curves with curvature approximating a parabola	1
Point-normal subdivision curves and surfaces	1
Offsets and front tire tracks to projective hedgehogs	1
Detail-preserving shape completion of point cloud models with articulated structure	1
Extending the Hough transform to recognize and approximate space curves in 3D models	1
On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration	1
Computing properties of subdivision schemes using small real Fourier indexed matrices	1
Feature-preserving point cloud filtering via mixture family manifold	1
A parallel algorithm for computing Voronoi diagram of a set of circles using touching disc and topology matching	1
Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network	1
Interactive reverse engineering of CAD models	1
Editorial Board	1
Editorial Board	1
GPU-based supervoxel segmentation for 3D point clouds	1
Determining the asymptotic family of an implicit curve	1
Detecting and parametrizing polynomial surfaces without base points	1
Curve-guided 5-axis CNC flank milling of free-form surfaces using custom-shaped tools	1
A dynamic sampling approach towards computing Voronoi diagram of a set of circles	1
M-NeuS: Volume rendering based surface reconstruction and material estimation	1
Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications	1
Editorial Board	1
Fast evaluation of derivatives of Bézier curves	1
Data approximation by L1 spline fits with free knots	1
PointeNet: A lightweight framework for effective and efficient point cloud analysis	1
G1 interpolation of v-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines	1
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation	1
Intrinsic mixed-integer polycubes for hexahedral meshing	1
Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants	1
Editorial Board	1
Shape control tools for periodic Bézier curves	1
Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes	1
An attention enhanced dual graph neural network for mesh denoising	1
Symmetry group detection of point clouds in 3D via a decomposition method	1
Quasi-interpolating bivariate dual 2-subdivision using	1
Construction of C1 polygonal splines over quadrilateral partitions	1
Exact sphere representations over Platonic solids based on rational multisided Bézier patches	1
Surface patches with rounded corners	1
ESA-GS: Elongation splitting and assimilation in Gaussian splatting for accurate surface reconstruction	1