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 2021-06-01 to 2025-06-01.)

Article	Citations
Editorial Board	36
3D shape descriptor design based on HKS and persistent homology with stability analysis	23
RBF-MAT: Computing medial axis transform from point clouds by optimizing radial basis functions	14
GeoHi-GNN: Geometry-aware hierarchical graph representation learning for normal estimation	12
Asynchronous progressive iterative approximation method for least squares fitting	12
Point-StyleGAN: Multi-scale point cloud synthesis with style modulation	12
Classification of Dupin cyclidic cubes by their singularities	11
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics	11
Singularity distance computations for 3-RPR manipulators using intrinsic metrics	11
A simple formula for the computation of branches and asymptotes of curves and some applications	11
On discrete constant principal curvature surfaces	11
Editorial Board	10
FuncScene: Function-centric indoor scene synthesis via a variational autoencoder framework	10
Obituary	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
1D CNNs and face-based random walks: A powerful combination to enhance mesh understanding and 3D semantic segmentation	9
Editorial Board	9
Automated placement of dental attachments based on orthodontic pathways	9
Multi-resolution 3D CNN for learning multi-scale spatial features in CAD models	9
Pythagorean-hodograph curves of Tschirnhaus type are sinusoidal spirals	9
Surfaces containing two isotropic circles through each point	8
Editorial - Special issue of the SIAM Conference on Computational Geometric Design (GD 2021)	8
Topological classification of the intersection curves of two quadrics using a set of discriminants	8
Symmetries of planar algebraic vector fields	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
Two novel iterative approaches for improved LSPIA convergence	6
The architectural application of shells whose boundaries subtend a constant solid angle	5
Geometric approximation of the sphere by triangular polynomial spline patches	5
A new stable method to compute mean value coordinates	5
Editorial Board	5
Conversion from NURBS to Bézier representation	5
Efficient neural RGB-D indoor scene reconstruction based on normal features	5
Note on planar Pythagorean hodograph curves of Tschirnhaus type	4
Evolutionary multi-objective high-order tetrahedral mesh optimization	4
A tour d'horizon of de Casteljau's work	4
Affine invariant triangulations	4
Shape-preserving interpolation on surfaces via variable-degree splines	4
A novel heterogeneous deformable surface model based on elasticity	4
A point-normal interpolatory subdivision scheme preserving conics	4
An unrefinement algorithm for planar THB-spline parameterizations	4
Partition of the space of planar quintic Pythagorean-hodograph curves	4
Editorial Board	4
Approximation by polynomial splines on curved triangulations	4
Conics in rational cubic Bézier form made simple	3
Non-uniform interpolatory subdivision schemes with improved smoothness	3
Shear-reduced seamless parametrization	3
Text-image conditioned diffusion for consistent text-to-3D generation	3
Self-attention implicit function networks for 3D dental data completion	3
A phase-field approach to variational hierarchical surface segmentation	3
On the triple-parameter least squares progressive iterative approximation and its convergence analysis	3
Genuine multi-sided parametric surface patches – A survey	3
Sharp feature consolidation from raw 3D point clouds via displacement learning	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
Real-time volume rendering with octree-based implicit surface representation	3
Extraction and application of super-smooth cubic B-splines over triangulations	3
Editorial Board	3
h-Refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis	3
IGA-Reuse-NET: A deep-learning-based isogeometric analysis-reuse approach with topology-consistent parameterization	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
Polynomial curves with projections to PH curves	3
Editorial Board	2
Multi-sided B-spline surfaces over curved, multi-connected domains	2
Kernel-based construction operators for Boolean sum and ruled geometry	2
Alternating size field optimizing and parameterization domain CAD model remeshing	2
A note on intrinsic supersmoothness of bivariate semialgebraic splines	2
Editorial Board	2
Sasaki metric for spline models of manifold-valued trajectories	2
Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles	2
Calibrating figures	2
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures	2

On the uniqueness of the multirational blossom	2
Computing the cut locus, Voronoi diagram, and signed distance function of polygons	2
Editorial Board	2
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping	2
Curvature continuous corner cutting	2
Anisotropic triangular meshing using metric-adapted embeddings	2
Planar class A Bézier curves: The case of real eigenvalues	2
Geometric interpolation of ER frames with G2 Pythagorean-hodograph curves of degree 7	2
Feature-preserving shrink wrapping with adaptive alpha	2
Editorial Board	2
An efficient analytical model for the swept volume generation of a flat-end mill in 5-axis CNC milling	2
Euler Bézier spirals and Euler B-spline spirals	2
Classification of polynomial minimal surfaces	2
On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining	2
Resultants of slice regular polynomials in two quaternionic variables	2
Editorial Board	2
Least variation in tool orientation control for 5-axis CNC machining	2
Rational framing motions and spatial rational Pythagorean hodograph curves	2
Physics and geometry-augmented neural implicit surfaces for rigid bodies	1
pκ-Curves: Interpolatory curves with curvature approximating a parabola	1
Fast evaluation of derivatives of Bézier curves	1
Shape control tools for periodic Bézier curves	1
G1 interpolation of v-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines	1
Data approximation by L1 spline fits with free knots	1
Streaming Hermite interpolation using cubic splinelets	1
GPU-based supervoxel segmentation for 3D point clouds	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
Editorial Board	1
Investigations of a functional version of a blending surface scheme for regular data interpolation	1
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints	1
Intrinsic mixed-integer polycubes for hexahedral meshing	1
Screw rotor manufacturing via 5-axis flank CNC machining using conical tools	1
D3AdvM: A direct 3D adversarial sample attack inside mesh data	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
Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes	1
Point-normal subdivision curves and surfaces	1
Editorial Board	1
Editorial Board	1
Paul de Faget de Casteljau, a pioneer in CAGD	1
On the accuracy of de Casteljau-type algorithms and Bernstein representations	1
Paul de Casteljau: The story of my adventure	1
Feature-preserving point cloud filtering via mixture family manifold	1
A dynamic sampling approach towards computing Voronoi diagram of a set of circles	1
Editorial Board	1
Curve-guided 5-axis CNC flank milling of free-form surfaces using custom-shaped tools	1
Determining the asymptotic family of an implicit curve	1
Projection-driven grid-BSP tree for real-time trimming on GPU	1
Interactive reverse engineering of CAD models	1
De Casteljau's algorithm in geometric data analysis: Theory and application	1
Detecting and parametrizing polynomial surfaces without base points	1
PointeNet: A lightweight framework for effective and efficient point cloud analysis	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
A parallel algorithm for computing Voronoi diagram of a set of circles using touching disc and topology matching	1
Computing the Riemannian center of mass on meshes	1
Editorial Board	1
Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network	1
Surface patches with rounded corners	1
Offsets and front tire tracks to projective hedgehogs	1
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation	1
M-NeuS: Volume rendering based surface reconstruction and material estimation	1
Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants	1
Quasi-interpolating bivariate dual 2-subdivision using	1