Computer Aided Geometric Design

Article	Citations
h-Refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis	22
Interactive design of discrete Voss nets and simulation of their rigid foldings	17
De Casteljau's algorithm in geometric data analysis: Theory and application	16
Editorial Board	11
Quaternionic Bézier parameterizations of bidegree (2,1)	11
Editorial Board	10
Computing properties of subdivision schemes using small real Fourier indexed matrices	10
On tiling spherical triangles into quadratic subpatches	10
GeoHi-GNN: Geometry-aware hierarchical graph representation learning for normal estimation	10
Editorial Board	9
Streaming Hermite interpolation using cubic splinelets	9
Genuine multi-sided parametric surface patches – A survey	9
A sufficient condition for 3D typical curves	9
Topology of the singularities of 3-RPR planar parallel robots	8
Enforcing convergence of derivatives for L∞ approximation of a regular curve	8
Representing planar domains by polar parameterizations with parabolic parameter lines	8
Detecting and parametrizing polynomial surfaces without base points	8
Single-sized spheres on surfaces (S4)	7
Conics in rational cubic Bézier form made simple	7
Implicit surface reconstruction based on a new interpolation/approximation radial basis function	7
A parallel algorithm for computing Voronoi diagram of a set of circles using touching disc and topology matching	7
Data approximation by L1 spline fits with free knots	7
VQ-CAD: Computer-Aided Design model generation with vector quantized diffusion	6
Point-StyleGAN: Multi-scale point cloud synthesis with style modulation	6
Rotational symmetry detection in 3D using reflectional symmetry candidates and quaternion-based rotation parameterization	6

pκ-Curves: Interpolatory curves with curvature approximating a parabola	6
Generalized Savitzky–Golay filter for smoothing triangular meshes	6
Precise Hausdorff distance computation for freeform surfaces based on computations with osculating toroidal patches	5
Curve-guided 5-axis CNC flank milling of free-form surfaces using custom-shaped tools	5
3D shape descriptor design based on HKS and persistent homology with stability analysis	5
Sharp feature consolidation from raw 3D point clouds via displacement learning	5
Algorithms and data structures for C-smooth RMB-splines of degree 2s + 1	5
Asynchronous progressive iterative approximation method for least squares fitting	5
Computing nodes for plane data points by constructing cubic polynomial with constraints	5
Fitting and recognition of geometric primitives in segmented 3D point clouds using a localized voting procedure	5
Geometric modeling of complex knitting stitches using a bicontinuous surface and its offsets	5
An attention enhanced dual graph neural network for mesh denoising	5
Quasi-interpolation for analysis-suitable T-splines	4
Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations	4
A simple formula for the computation of branches and asymptotes of curves and some applications	4
Hermite subdivision schemes for manifold-valued Hermite data	4
Symmetry group detection of point clouds in 3D via a decomposition method	4
Adaptive refinement for unstructured T-splines with linear complexity	4
Singularity distance computations for 3-RPR manipulators using intrinsic metrics	4
Curve approximation by G1 arc splines with a limited number of types of curvature and length	4
Non-uniform interpolatory subdivision schemes with improved smoothness	4
Characteristic parameterizations of surfaces with a constant ratio of principal curvatures	4
Generalized Bézier volumes over simple convex polyhedra	4
Flipping-based iterative surface reconstruction for unoriented points	4
On discrete constant principal curvature surfaces	3
Self-attention implicit function networks for 3D dental data completion	3
Extending the Hough transform to recognize and approximate space curves in 3D models	3
Learning geometry-aware joint latent space for simultaneous multimodal shape generation	3
Tegula – exploring a galaxy of two-dimensional periodic tilings	3
Classification of Dupin cyclidic cubes by their singularities	3
A C1 simplex-spline basis for the Alfeld split in R	3
Editorial Board	3
Automatic tooth arrangement with joint features of point and mesh representations via diffusion probabilistic models	3
De Casteljau's geometric approach to geometric design still alive	3
Editorial Board	3
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics	3
Multi-sided completion of C2 bi-3 and C1 bi-2 splines: A unifying approach	3
Voronoi-based splinegon decomposition and shortest-path tree computation	3
GPU-based supervoxel segmentation for 3D point clouds	3
Computing symmetries of implicit algebraic surfaces	3
Editorial Board	3
Multi-stable design of triangulated origami structures on cones of revolution	3
Planar projections of spatial Pythagorean-hodograph curves	3
Editorial Board	2
Heterogeneous parametric trivariate fillets	2
Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes	2
Text-image conditioned diffusion for consistent text-to-3D generation	2
Screw rotor manufacturing via 5-axis flank CNC machining using conical tools	2
BrepMFR: Enhancing machining feature recognition in B-rep models through deep learning and domain adaptation	2
Linear interpolation of shape operators for umbilical points through local parametrization	2

Editorial Board	2
G1 interpolation of v-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines	2
GMP2021 – 15th International Conference on Geometric Modeling and Processing	2
Multiscale persistent topological descriptor for porous structure retrieval	2
Computational design methods for cylindrical and axisymmetric waterbomb tessellations	2
Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants	2
Exact sphere representations over Platonic solids based on rational multisided Bézier patches	2
Obituary	2
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints	2
IGA-Reuse-NET: A deep-learning-based isogeometric analysis-reuse approach with topology-consistent parameterization	2
Polynomial curves with projections to PH curves	2
Generated realistic noise and rotation-equivariant models for data-driven mesh denoising	1
FuncScene: Function-centric indoor scene synthesis via a variational autoencoder framework	1
On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining	1
G1 – Smooth biquintic approximation of Catmull-Clark subdivision surfaces	1
Classification of polynomial minimal surfaces	1
Editorial Board	1
Topological classification of the intersection curves of two quadrics using a set of discriminants	1
New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves	1
Unpaired high-quality image-guided infrared and visible image fusion via generative adversarial network	1
Interpolation of planar G1 data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths	1
1D CNNs and face-based random walks: A powerful combination to enhance mesh understanding and 3D semantic segmentation	1
Planar quartic G2 Hermite interpolation for curve modeling	1
A new method for researching and constructing spherical bicentric polygons based on geometric mapping	1
New shape control tools for rational Bézier curve design	1
Real-time volume rendering with octree-based implicit surface representation	1
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping	1
Construction of C1 polygonal splines over quadrilateral partitions	1
Editorial Board	1
Editorial Board	1
Penalty function-based volumetric parameterization method for isogeometric analysis	1
Construction of the ellipse with maximum area inscribed in an arbitrary convex quadrilateral	1
Automated placement of dental attachments based on orthodontic pathways	1
Editorial Board	1
Feature-preserving quadrilateral mesh Boolean operation with cross-field guided layout blending	1
Editorial Board	1
Detection and computation of conservative kernels of models consisting of freeform curves and surfaces, using inequality constraints	1
Editorial Board	1
Multi-resolution 3D CNN for learning multi-scale spatial features in CAD models	1
Surface patches with rounded corners	1
A phase-field approach to variational hierarchical surface segmentation	1
PointeNet: A lightweight framework for effective and efficient point cloud analysis	0
Partition of the space of planar quintic Pythagorean-hodograph curves	0
Editorial - Special issue of the SIAM Conference on Computational Geometric Design (GD 2021)	0
Determining the asymptotic family of an implicit curve	0
Maximally smooth cubic spline quasi-interpolants on arbitrary triangulations	0
Spatial quintic Pythagorean-hodograph interpolants to first-order Hermite data and Frenet frames	0
Joint optimization of distortion and cut location for mesh parameterization using an Ambrosio-Tortorelli functional	0
C Hermite interpolations with spatial Pythagorean hodograph B-splines	0
G1 Hermite interpolation method for spatial PH curves with PH planar projections	0
Least variation in tool orientation control for 5-axis CNC machining	0
Offsets and front tire tracks to projective hedgehogs	0
Morphing of spherical closed curves	0
Dense representative tooth landmark/axis detection network on 3D model	0
Pythagorean-hodograph curves of Tschirnhaus type are sinusoidal spirals	0
Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles	0
Editorial Board	0
Approximation by polynomial splines on curved triangulations	0
Symmetries of planar algebraic vector fields	0
Generalized plane offsets and rational parameterizations	0
On the uniqueness of the multirational blossom	0
Special issue on the SIAM Conference on Computational Geometric Design (GD 19)	0
Point-normal subdivision curves and surfaces	0
Blending Bézier patch for multi-sided surface modeling	0
Shape reconstruction of trapezoidal surfaces from unorganized point clouds	0
Algebraic and geometric characterizations of a class of Algebraic-Hyperbolic Pythagorean-Hodograph curves	0
Towards geodesic ridge curve for region-wise linear representation of geodesic distance field	0
A dynamic sampling approach towards computing Voronoi diagram of a set of circles	0
High-precision teeth reconstruction based on automatic multimodal fusion with CBCT and IOS	0
Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves	0
Discrete exterior calculus for meshes with concyclic polygons	0
Resultants of slice regular polynomials in two quaternionic variables	0
Interactive reverse engineering of CAD models	0
A new stable method to compute mean value coordinates	0
A unified algebraic framework for fast and precise planar swept volumes and Minkowski sums	0
Optimal one-sided approximants of circular arc	0
Editorial Board	0
D3AdvM: A direct 3D adversarial sample attack inside mesh data	0
On the accuracy of de Casteljau-type algorithms and Bernstein representations	0
Editorial Board	0

An adaptive collocation method on implicit domains using weighted extended THB-splines	0
Geometric interpolation of ER frames with G2 Pythagorean-hodograph curves of degree 7	0
An efficient analytical model for the swept volume generation of a flat-end mill in 5-axis CNC milling	0
A tour d'horizon of de Casteljau's work	0
Editorial Board	0
Shape control tools for periodic Bézier curves	0
D-Net: Learning for distinctive point clouds by self-attentive point searching and learnable feature fusion	0
Editorial Board	0
Euler Bézier spirals and Euler B-spline spirals	0
Efficient object recognition under cluttered scenes via descriptor-based matching and single point voting	0
A note on intrinsic supersmoothness of bivariate semialgebraic splines	0
A Chebyshev metamodel based BnB approach to efficiently search global optimum for 3D ICP point set registration	0
An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision	0
27 variants of Tutte's theorem for plane near-triangulations and an application to periodic spline surface fitting	0
Angle-bounded 2D mesh simplification	0
Quadratic surface preserving parameterization of unorganized point data	0
Kernel-based construction operators for Boolean sum and ruled geometry	0
Approximate symmetries of perturbed planar discrete curves	0
D3Former: Jointly learning repeatable dense detectors and feature-enhanced descriptors via saliency-guided transformer	0
Paul de Casteljau: The story of my adventure	0
Shape-preserving interpolation on surfaces via variable-degree splines	0
Subdivision algorithms with modular arithmetic	0
A novel heterogeneous deformable surface model based on elasticity	0
Anisotropic triangular meshing using metric-adapted embeddings	0
Efficient reparametrization into standard form and algorithmic characterization of rational ruled surfaces	0
TPNet: A novel mesh analysis method via topology preservation and perception enhancement	0
Shear-reduced seamless parametrization	0
Computing the topology of the image of a parametric planar curve under a birational transformation	0
Two novel iterative approaches for improved LSPIA convergence	0
Note on planar Pythagorean hodograph curves of Tschirnhaus type	0
Editorial Board	0
Editorial Board	0
Automatic pose and wrinkle transfer for aesthetic garment display	0
3D auxetic linkage based on Kirigami	0
Tubular parametric volume objects: Thickening a piecewise smooth 3D stick figure	0
Quasi-interpolating bivariate dual 2-subdivision using	0
Multi-sided B-spline surfaces over curved, multi-connected domains	0
Investigations of a functional version of a blending surface scheme for regular data interpolation	0
The architectural application of shells whose boundaries subtend a constant solid angle	0
2D Bézier curves with monotone curvature based on Class A matrices	0
Calibrating figures	0
Build orientation optimization considering thermal distortion in additive manufacturing	0
Real-time collision detection between general SDFs	0
Hyperbolic barycentric coordinates and applications	0
Extraction and application of super-smooth cubic B-splines over triangulations	0
High-order shape interpolation	0
Editorial Board	0
On G2 approximation of planar algebraic curves under certified error control by quintic Pythagorean-hodograph splines	0
A property of parametric polynomial approximants of half circles	0
Editorial Board	0
3D mesh cutting for high quality atlas packing	0
A simple and complete discrete exterior calculus on general polygonal meshes	0
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation	0
The four-point interpolation subdivision curve is neither convex nor concave in all but one case	0
Editorial Board	0
Self-intersection computation for freeform surfaces based on a regional representation scheme for miter points	0
Editorial Board	0
Computing planar and volumetric B-spline parameterizations for IGA by robust mapping fitting	0
PSPDNet: Part-aware shape and pose disentanglement neural network for 3D human animating meshes	0
The uniqueness of the rational Bézier polygon is unique	0
Computing the Riemannian center of mass on meshes	0
Curvature continuous corner cutting	0
Computing the intersection between a rational parametric curve and a rational parametric surface	0
Editorial Board	0
Editorial Board	0
Alternating size field optimizing and parameterization domain CAD model remeshing	0
Multi-derivative physical and geometric convolutional embedding networks for skeleton-based action recognition	0
Local Delaunay-based high fidelity surface reconstruction from 3D point sets	0
Rational framing motions and spatial rational Pythagorean hodograph curves	0
Intrinsic mixed-integer polycubes for hexahedral meshing	0
A task-driven network for mesh classification and semantic part segmentation	0
Surfaces containing two isotropic circles through each point	0
Reliability-based G1 continuous arc spline approximation	0
An unrefinement algorithm for planar THB-spline parameterizations	0
Editorial Board	0
Physics-aware iterative learning and prediction of saliency map for bimanual grasp planning	0
Skeleton based tetrahedralization of surface meshes	0
Affine invariant triangulations	0
Apollonian de Casteljau–type algorithms for complex rational Bézier curves	0
Sasaki metric for spline models of manifold-valued trajectories	0
Accelerating surface remeshing through GPU-based computation of the restricted tangent face	0
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures	0
Editorial Board	0
Editorial Board	0
Planar class A Bézier curves: The case of real eigenvalues	0
Conversion from NURBS to Bézier representation	0
Fast evaluation of derivatives of Bézier curves	0
Editorial Board	0
Feature-preserving shrink wrapping with adaptive alpha	0
M-NeuS: Volume rendering based surface reconstruction and material estimation	0
Alzheimer's disease diagnosis by applying Shannon entropy to Ricci flow-based surface indexing and extreme gradient boosting	0
SCN: Dilated silhouette convolutional network for video action recognition	0
Evolutionary multi-objective high-order tetrahedral mesh optimization	0
Contact detection between a small ellipsoid and another quadric	0
Geometric approximation of the sphere by triangular polynomial spline patches	0