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

Article	Citations
Editorial Board	47
3D shape descriptor design based on HKS and persistent homology with stability analysis	29
GeoHi-GNN: Geometry-aware hierarchical graph representation learning for normal estimation	21
Point-StyleGAN: Multi-scale point cloud synthesis with style modulation	18
Asynchronous progressive iterative approximation method for least squares fitting	17
Surface reconstruction of narrow-band guided Gray-Scott model	16
RBF-MAT: Computing medial axis transform from point clouds by optimizing radial basis functions	15
On discrete constant principal curvature surfaces	14
Singularity distance computations for 3-RPR manipulators using intrinsic metrics	14
A simple formula for the computation of branches and asymptotes of curves and some applications	13
Classification of Dupin cyclidic cubes by their singularities	13
Editorial Board	13
Obituary	12
Log-aesthetic curves and generalized Archimedean spirals	12
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics	12
Automated placement of dental attachments based on orthodontic pathways	11
Pythagorean-hodograph curves of Tschirnhaus type are sinusoidal spirals	10
New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves	10
G1 Hermite interpolation method for spatial PH curves with PH planar projections	10
Topological classification of the intersection curves of two quadrics using a set of discriminants	9
FuncScene: Function-centric indoor scene synthesis via a variational autoencoder framework	9
Editorial Board	9
1D CNNs and face-based random walks: A powerful combination to enhance mesh understanding and 3D semantic segmentation	8
Editorial Board	8
D3Former: Jointly learning repeatable dense detectors and feature-enhanced descriptors via saliency-guided transformer	7

Symmetries of planar algebraic vector fields	7
Efficient neural RGB-D indoor scene reconstruction based on normal features	6
A new stable method to compute mean value coordinates	6
A tour d'horizon of de Casteljau's work	6
Contact detection between a small ellipsoid and another quadric	6
Approximation by polynomial splines on curved triangulations	6
The architectural application of shells whose boundaries subtend a constant solid angle	6
Two novel iterative approaches for improved LSPIA convergence	6
A novel heterogeneous deformable surface model based on elasticity	6
Geometric approximation of the sphere by triangular polynomial spline patches	6
Editorial Board	5
Partition of the space of planar quintic Pythagorean-hodograph curves	5
Conversion from NURBS to Bézier representation	5
Shape-preserving interpolation on surfaces via variable-degree splines	5
A point-normal interpolatory subdivision scheme preserving conics	5
Evolutionary multi-objective high-order tetrahedral mesh optimization	5
Non-uniform interpolatory subdivision schemes with improved smoothness	4
Conics in rational cubic Bézier form made simple	4
IGA-Reuse-NET: A deep-learning-based isogeometric analysis-reuse approach with topology-consistent parameterization	4
An unrefinement algorithm for planar THB-spline parameterizations	4
Editorial Board	4
Sharp feature consolidation from raw 3D point clouds via displacement learning	4
Editorial Board	4
Multi-stable design of triangulated origami structures on cones of revolution	4
Shear-reduced seamless parametrization	4
Genuine multi-sided parametric surface patches – A survey	4
On the triple-parameter least squares progressive iterative approximation and its convergence analysis	4
Polynomial curves with projections to PH curves	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
A C1 simplex-spline basis for the Alfeld split in	3
Resultants of slice regular polynomials in two quaternionic variables	3
Classification of polynomial minimal surfaces	3
3D shape analysis via multi-modal contrastive learning	3
Computing the cut locus, Voronoi diagram, and signed distance function of polygons	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
Editorial Board	3
Editorial Board	3
Curvature continuous corner cutting	3
Text-image conditioned diffusion for consistent text-to-3D generation	3
Anisotropic triangular meshing using metric-adapted embeddings	3
A note on intrinsic supersmoothness of bivariate semialgebraic splines	3
On the uniqueness of the multirational blossom	3
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures	3
Editorial Board	3
Least variation in tool orientation control for 5-axis CNC machining	3
On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining	3
Real-time volume rendering with octree-based implicit surface representation	3

Corrigendum to “Isotopic equivalence by Bézier curve subdivision for application to high performance computing” [Computer Aided Geometric Design 31 (2013) 642–655]	3
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping	3
Sasaki metric for spline models of manifold-valued trajectories	3
Rational framing motions and spatial rational Pythagorean hodograph curves	3
Editorial Board	3
Euler Bézier spirals and Euler B-spline spirals	3
Physics and geometry-augmented neural implicit surfaces for rigid bodies	2
Calibrating figures	2
Editorial Board	2
Editorial Board	2
On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration	2
PointeNet: A lightweight framework for effective and efficient point cloud analysis	2
Euler's elastica and curvature based nonlinear mesh denoising method	2
Detecting and parametrizing polynomial surfaces without base points	2
GPU-based supervoxel segmentation for 3D point clouds	2
De Casteljau's algorithm in geometric data analysis: Theory and application	2
Feature-preserving shrink wrapping with adaptive alpha	2
A multilevel feature-based method for mapping sparse point clouds to CAD models	2
pκ-Curves: Interpolatory curves with curvature approximating a parabola	2
Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants	2
Fast evaluation of derivatives of Bézier curves	2
Feature-preserving point cloud filtering via mixture family manifold	2
Surface patches with rounded corners	2
Paul de Casteljau: The story of my adventure	2
Curve-guided 5-axis CNC flank milling of free-form surfaces using custom-shaped tools	2
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation	2
Projection-driven grid-BSP tree for real-time trimming on GPU	2
Geodesic distance approximation using a surface finite element method for the p-Laplacian	2
Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles	2
Screw rotor manufacturing via 5-axis flank CNC machining using conical tools	2
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints	2
Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network	2
Computing the Riemannian center of mass on meshes	2
An attention enhanced dual graph neural network for mesh denoising	2
Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes	2
Symmetry group detection of point clouds in 3D via a decomposition method	2
On the accuracy of de Casteljau-type algorithms and Bernstein representations	1
Discrete Gaussian free field methods for random curve shape generation	1
On G2 approximation of planar algebraic curves under certified error control by quintic Pythagorean-hodograph splines	1
PSPDNet: Part-aware shape and pose disentanglement neural network for 3D human animating meshes	1
Dense representative tooth landmark/axis detection network on 3D model	1
Investigations of a functional version of a blending surface scheme for regular data interpolation	1
Maximally smooth cubic spline quasi-interpolants on arbitrary triangulations	1
Shape control tools for periodic Bézier curves	1
Weighted transfinite interpolation for slightly unstructured curvilinear patches	1
Editorial Board	1
Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications	1
The cubic de Casteljau construction and some classes of cubic curves on Riemannian manifolds	1
Exact sphere representations over Platonic solids based on rational multisided Bézier patches	1
A quaternion approach to G	1
Editorial Board	1
Data approximation by L1 spline fits with free knots	1
Offsets and front tire tracks to projective hedgehogs	1
Discrete exterior calculus for meshes with concyclic polygons	1
Approximation properties over self-similar meshes of curved finite elements and applications to subdivision based isogeometric analysis	1
CasViGE: Learning robust point cloud registration with cascaded visual-geometric encoding	1
Paul de Faget de Casteljau, a pioneer in CAGD	1
The uniqueness of the rational Bézier polygon is unique	1
Computing properties of subdivision schemes using small real Fourier indexed matrices	1
Construction of C1 polygonal splines over quadrilateral partitions	1
A parallel algorithm for computing Voronoi diagram of a set of circles using touching disc and topology matching	1
Detail-preserving shape completion of point cloud models with articulated structure	1
Intrinsic mixed-integer polycubes for hexahedral meshing	1
Feature-preserving quadrilateral mesh Boolean operation with cross-field guided layout blending	1
Determining the asymptotic family of an implicit curve	1
M-NeuS: Volume rendering based surface reconstruction and material estimation	1
Quasi-interpolating bivariate dual 2-subdivision using	1
Editorial Board	1
Joint optimization of distortion and cut location for mesh parameterization using an Ambrosio-Tortorelli functional	1
Editorial Board	1
Editorial Board	1
Interactive reverse engineering of CAD models	1
Generated realistic noise and rotation-equivariant models for data-driven mesh denoising	1
Editorial Board	1
G1 interpolation of v-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines	1
ESA-GS: Elongation splitting and assimilation in Gaussian splatting for accurate surface reconstruction	1
Extending the Hough transform to recognize and approximate space curves in 3D models	1
D3AdvM: A direct 3D adversarial sample attack inside mesh data	1
Point-normal subdivision curves and surfaces	1