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 2021-11-01 to 2025-11-01.)

Article	Citations
Editorial Board	45
RBF-MAT: Computing medial axis transform from point clouds by optimizing radial basis functions	27
Point-StyleGAN: Multi-scale point cloud synthesis with style modulation	20
3D shape descriptor design based on HKS and persistent homology with stability analysis	16
Asynchronous progressive iterative approximation method for least squares fitting	16
GeoHi-GNN: Geometry-aware hierarchical graph representation learning for normal estimation	15
Log-aesthetic curves and generalized Archimedean spirals	13
On discrete constant principal curvature surfaces	13
Classification of Dupin cyclidic cubes by their singularities	13
Singularity distance computations for 3-RPR manipulators using intrinsic metrics	13
Obituary	12
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics	12
A simple formula for the computation of branches and asymptotes of curves and some applications	12
Editorial Board	12
Automated placement of dental attachments based on orthodontic pathways	11
1D CNNs and face-based random walks: A powerful combination to enhance mesh understanding and 3D semantic segmentation	11
G1 Hermite interpolation method for spatial PH curves with PH planar projections	10
Pythagorean-hodograph curves of Tschirnhaus type are sinusoidal spirals	10
Topological classification of the intersection curves of two quadrics using a set of discriminants	9
Editorial Board	9
New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves	9
FuncScene: Function-centric indoor scene synthesis via a variational autoencoder framework	8
Multi-resolution 3D CNN for learning multi-scale spatial features in CAD models	8
Symmetries of planar algebraic vector fields	7
D3Former: Jointly learning repeatable dense detectors and feature-enhanced descriptors via saliency-guided transformer	7

Efficient neural RGB-D indoor scene reconstruction based on normal features	7
Editorial - Special issue of the SIAM Conference on Computational Geometric Design (GD 2021)	6
A novel heterogeneous deformable surface model based on elasticity	6
Geometric approximation of the sphere by triangular polynomial spline patches	6
Contact detection between a small ellipsoid and another quadric	6
Evolutionary multi-objective high-order tetrahedral mesh optimization	6
A new stable method to compute mean value coordinates	6
Two novel iterative approaches for improved LSPIA convergence	6
The architectural application of shells whose boundaries subtend a constant solid angle	6
A point-normal interpolatory subdivision scheme preserving conics	5
Conversion from NURBS to Bézier representation	5
A tour d'horizon of de Casteljau's work	5
Partition of the space of planar quintic Pythagorean-hodograph curves	5
Editorial Board	5
Approximation by polynomial splines on curved triangulations	5
Affine invariant triangulations	5
An unrefinement algorithm for planar THB-spline parameterizations	4
On the triple-parameter least squares progressive iterative approximation and its convergence analysis	4
Sharp feature consolidation from raw 3D point clouds via displacement learning	4
Editorial Board	4
Shape-preserving interpolation on surfaces via variable-degree splines	4
Shear-reduced seamless parametrization	4
Editorial Board	4
h-Refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis	4
Extraction and application of super-smooth cubic B-splines over triangulations	4
Genuine multi-sided parametric surface patches – A survey	4
Conics in rational cubic Bézier form made simple	4
Non-uniform interpolatory subdivision schemes with improved smoothness	4
Curvature continuous corner cutting	3
Polynomial curves with projections to PH curves	3
Resultants of slice regular polynomials in two quaternionic variables	3
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping	3
Computing the cut locus, Voronoi diagram, and signed distance function of polygons	3
Editorial Board	3
A C1 simplex-spline basis for the Alfeld split in R	3
3D shape analysis via multi-modal contrastive learning	3
Corrigendum to “Isotopic equivalence by Bézier curve subdivision for application to high performance computing” [Computer Aided Geometric Design 31 (2013) 642–655]	3
On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining	3
A note on intrinsic supersmoothness of bivariate semialgebraic splines	3
Alternating size field optimizing and parameterization domain CAD model remeshing	3
Multi-stable design of triangulated origami structures on cones of revolution	3
Text-image conditioned diffusion for consistent text-to-3D generation	3
IGA-Reuse-NET: A deep-learning-based isogeometric analysis-reuse approach with topology-consistent parameterization	3
Classification of polynomial minimal surfaces	3
Editorial Board	3
Anisotropic triangular meshing using metric-adapted embeddings	3
Sasaki metric for spline models of manifold-valued trajectories	3
Real-time volume rendering with octree-based implicit surface representation	3
Feature-preserving shrink wrapping with adaptive alpha	2
Editorial Board	2

Least variation in tool orientation control for 5-axis CNC machining	2
Editorial Board	2
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures	2
pκ-Curves: Interpolatory curves with curvature approximating a parabola	2
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints	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
Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes	2
Rational framing motions and spatial rational Pythagorean hodograph curves	2
Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles	2
Kernel-based construction operators for Boolean sum and ruled geometry	2
Calibrating figures	2
Euler Bézier spirals and Euler B-spline spirals	2
Physics and geometry-augmented neural implicit surfaces for rigid bodies	2
Paul de Casteljau: The story of my adventure	2
GPU-based supervoxel segmentation for 3D point clouds	2
Screw rotor manufacturing via 5-axis flank CNC machining using conical tools	2
Detecting and parametrizing polynomial surfaces without base points	2
Geodesic distance approximation using a surface finite element method for the p-Laplacian	2
On the uniqueness of the multirational blossom	2
An attention enhanced dual graph neural network for mesh denoising	2
An efficient analytical model for the swept volume generation of a flat-end mill in 5-axis CNC milling	2
A multilevel feature-based method for mapping sparse point clouds to CAD models	2
Editorial Board	2
Euler's elastica and curvature based nonlinear mesh denoising method	2
Projection-driven grid-BSP tree for real-time trimming on GPU	2
Curve-guided 5-axis CNC flank milling of free-form surfaces using custom-shaped tools	2
Symmetry group detection of point clouds in 3D via a decomposition method	2
On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration	1
PointeNet: A lightweight framework for effective and efficient point cloud analysis	1
Surface patches with rounded corners	1
Editorial Board	1
Investigations of a functional version of a blending surface scheme for regular data interpolation	1
Generated realistic noise and rotation-equivariant models for data-driven mesh denoising	1
Exact sphere representations over Platonic solids based on rational multisided Bézier patches	1
Extending the Hough transform to recognize and approximate space curves in 3D models	1
Shape control tools for periodic Bézier curves	1
Computing properties of subdivision schemes using small real Fourier indexed matrices	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
On the accuracy of de Casteljau-type algorithms and Bernstein representations	1
Fast evaluation of derivatives of Bézier curves	1
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation	1
Interactive reverse engineering of CAD models	1
Paul de Faget de Casteljau, a pioneer in CAGD	1
Maximally smooth cubic spline quasi-interpolants on arbitrary triangulations	1
Detail-preserving shape completion of point cloud models with articulated structure	1
G1 interpolation of v-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines	1
Discrete Gaussian free field methods for random curve shape generation	1
M-NeuS: Volume rendering based surface reconstruction and material estimation	1
Editorial Board	1
Determining the asymptotic family of an implicit curve	1
The cubic de Casteljau construction and some classes of cubic curves on Riemannian manifolds	1
Intrinsic mixed-integer polycubes for hexahedral meshing	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
Editorial Board	1
Computing the Riemannian center of mass on meshes	1
Construction of C1 polygonal splines over quadrilateral partitions	1
Feature-preserving quadrilateral mesh Boolean operation with cross-field guided layout blending	1
Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications	1
Editorial Board	1
Data approximation by L1 spline fits with free knots	1
Editorial Board	1
ESA-GS: Elongation splitting and assimilation in Gaussian splatting for accurate surface reconstruction	1
Quasi-interpolating bivariate dual 2-subdivision using	1
Editorial Board	1
A parallel algorithm for computing Voronoi diagram of a set of circles using touching disc and topology matching	1