Computer Aided Geometric Design

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 2022-05-01 to 2026-05-01.)
ArticleCitations
Editorial Board49
RBF-MAT: Computing medial axis transform from point clouds by optimizing radial basis functions29
GeoHi-GNN: Geometry-aware hierarchical graph representation learning for normal estimation21
Point-StyleGAN: Multi-scale point cloud synthesis with style modulation20
Basis construction for polynomial spline spaces over arbitrary T-meshes19
Surface reconstruction of narrow-band guided Gray-Scott model16
3D shape descriptor design based on HKS and persistent homology with stability analysis16
Asynchronous progressive iterative approximation method for least squares fitting16
On discrete constant principal curvature surfaces15
Classification of Dupin cyclidic cubes by their singularities14
Singularity distance computations for 3-RPR manipulators using intrinsic metrics13
Log-aesthetic curves and generalized Archimedean spirals12
Obituary12
GTAvatar: Efficient garment transfer for aligned avatars simultaneously reconstructed from monocular videos11
Automated placement of dental attachments based on orthodontic pathways10
Editorial Board9
G1 Hermite interpolation method for spatial PH curves with PH planar projections9
Topological classification of the intersection curves of two quadrics using a set of discriminants8
Editorial Board7
D3Former: Jointly learning repeatable dense detectors and feature-enhanced descriptors via saliency-guided transformer7
New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves7
FuncScene: Function-centric indoor scene synthesis via a variational autoencoder framework7
1D CNNs and face-based random walks: A powerful combination to enhance mesh understanding and 3D semantic segmentation7
A tour d'horizon of de Casteljau's work6
A novel heterogeneous deformable surface model based on elasticity6
Contact detection between a small ellipsoid and another quadric6
The architectural application of shells whose boundaries subtend a constant solid angle6
UVConv: A UV grid-based convolutional neural network for classification and segmentation of 3D CAD models6
Efficient neural RGB-D indoor scene reconstruction based on normal features6
A new stable method to compute mean value coordinates6
Two novel iterative approaches for improved LSPIA convergence6
Symmetries of planar algebraic vector fields6
A geometric perturbation-based method for tolerance analysis5
Evolutionary multi-objective high-order tetrahedral mesh optimization5
Conversion from NURBS to Bézier representation5
An unrefinement algorithm for planar THB-spline parameterizations5
Interactive structural topology optimization via skeleton control5
A point-normal interpolatory subdivision scheme preserving conics5
Shear-reduced seamless parametrization5
Editorial Board5
Editorial Board5
Partition of the space of planar quintic Pythagorean-hodograph curves5
Shape-preserving interpolation on surfaces via variable-degree splines5
Extraction and application of super-smooth cubic B-splines over triangulations5
IGA-Reuse-NET: A deep-learning-based isogeometric analysis-reuse approach with topology-consistent parameterization4
Genuine multi-sided parametric surface patches – A survey4
Conics in rational cubic Bézier form made simple4
Text-image conditioned diffusion for consistent text-to-3D generation4
3D shape analysis via multi-modal contrastive learning4
Editorial Board4
Editorial Board4
Sharp feature consolidation from raw 3D point clouds via displacement learning4
Transferable and undefendable point cloud attacks via medial axis transform4
Arc-fibration kernels of arc-spline domains4
A C1 simplex-spline basis for the Alfeld split in 4
Corrigendum to “Isotopic equivalence by Bézier curve subdivision for application to high performance computing” [Computer Aided Geometric Design 31 (2013) 642–655]4
On the triple-parameter least squares progressive iterative approximation and its convergence analysis4
Editorial Board4
Polynomial curves with projections to PH curves4
Multi-stable design of triangulated origami structures on cones of revolution4
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping3
On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining3
Sasaki metric for spline models of manifold-valued trajectories3
Geodesic distance approximation using a surface finite element method for the p-Laplacian3
Editorial Board3
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures3
Kernel-based construction operators for Boolean sum and ruled geometry3
Computing the cut locus, Voronoi diagram, and signed distance function of polygons3
Curvature continuous corner cutting3
Euler Bézier spirals and Euler B-spline spirals3
Resultants of slice regular polynomials in two quaternionic variables3
On the uniqueness of the multirational blossom3
Rational framing motions and spatial rational Pythagorean hodograph curves3
Least variation in tool orientation control for 5-axis CNC machining3
Editorial Board3
Anisotropic triangular meshing using metric-adapted embeddings3
A note on intrinsic supersmoothness of bivariate semialgebraic splines3
Classification of polynomial minimal surfaces3
Editorial Board3
Alternating size field optimizing and parameterization domain CAD model remeshing3
Calibrating figures3
An efficient analytical model for the swept volume generation of a flat-end mill in 5-axis CNC milling3
Real-time volume rendering with octree-based implicit surface representation3
Accurate matrix conversion between Bernstein and h 2
De Casteljau's algorithm in geometric data analysis: Theory and application2
pκ-Curves: Interpolatory curves with curvature approximating a parabola2
Wavelet-based global orientation and surface reconstruction for sparse point clouds2
A multilevel feature-based method for mapping sparse point clouds to CAD models2
Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants2
Physics and geometry-augmented neural implicit surfaces for rigid bodies2
Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes2
Paul de Casteljau: The story of my adventure2
Detecting and parametrizing polynomial surfaces without base points2
Projection-driven grid-BSP tree for real-time trimming on GPU2
Screw rotor manufacturing via 5-axis flank CNC machining using conical tools2
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation2
Feature-preserving shrink wrapping with adaptive alpha2
Editorial Board2
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints2
Euler's elastica and curvature based nonlinear mesh denoising method2
Symmetry group detection of point clouds in 3D via a decomposition method2
Computer-aided design of lacunar fractal polygons2
Surface patches with rounded corners2
Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles2
Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network2
An attention enhanced dual graph neural network for mesh denoising2
Editorial Board2
Editorial Board1
Tools for analyzing the intersection curve between a torus and a quadric through projection and lifting1
Extending the Hough transform to recognize and approximate space curves in 3D models1
A geometric characterisation of PH-cubics via the focus of the cusp curve1
Computing properties of subdivision schemes using small real Fourier indexed matrices1
Investigations of a functional version of a blending surface scheme for regular data interpolation1
Exact sphere representations over Platonic solids based on rational multisided Bézier patches1
Determining the asymptotic family of an implicit curve1
Point-normal subdivision curves and surfaces1
Computing the Riemannian center of mass on meshes1
Fast evaluation of derivatives of Bézier curves1
Editorial Board1
Generated realistic noise and rotation-equivariant models for data-driven mesh denoising1
Feature-preserving quadrilateral mesh Boolean operation with cross-field guided layout blending1
G1 interpolation of v-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines1
Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications1
Discrete Gaussian free field methods for random curve shape generation1
Paul de Faget de Casteljau, a pioneer in CAGD1
Editorial Board1
Editorial Board1
Quasi-interpolating bivariate dual 2-subdivision using1
PointeNet: A lightweight framework for effective and efficient point cloud analysis1
On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration1
On the accuracy of de Casteljau-type algorithms and Bernstein representations1
Offsets and front tire tracks to projective hedgehogs1
Interactive reverse engineering of CAD models1
Maximally smooth cubic spline quasi-interpolants on arbitrary triangulations1
Detail-preserving shape completion of point cloud models with articulated structure1
Approximate symmetry detection in noisy 3D data1
Weighted transfinite interpolation for slightly unstructured curvilinear patches1
A quaternion approach to G 1
ESA-GS: Elongation splitting and assimilation in Gaussian splatting for accurate surface reconstruction1
D3AdvM: A direct 3D adversarial sample attack inside mesh data1
Voxel-to-tet meshing for density-based topology optimization1
M-NeuS: Volume rendering based surface reconstruction and material estimation1
Feature-preserving point cloud filtering via mixture family manifold1
The cubic de Casteljau construction and some classes of cubic curves on Riemannian manifolds1
Shape control tools for periodic Bézier curves1
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