Computer Aided Geometric Design

Article	Citations
Implicit surface reconstruction based on a new interpolation/approximation radial basis function	32
Editorial Board	16
Editorial Board	12
Quaternionic Bézier parameterizations of bidegree (2,1)	12
GeoHi-GNN: Geometry-aware hierarchical graph representation learning for normal estimation	11
Detecting and parametrizing polynomial surfaces without base points	10
Streaming Hermite interpolation using cubic splinelets	10
Enforcing convergence of derivatives for L∞ approximation of a regular curve	10
Editorial Board	10
Point-StyleGAN: Multi-scale point cloud synthesis with style modulation	9
pκ-Curves: Interpolatory curves with curvature approximating a parabola	9
A parallel algorithm for computing Voronoi diagram of a set of circles using touching disc and topology matching	9
Data approximation by L1 spline fits with free knots	8
Sharp feature consolidation from raw 3D point clouds via displacement learning	8
A sufficient condition for 3D typical curves	8
Asynchronous progressive iterative approximation method for least squares fitting	8
Computing nodes for plane data points by constructing cubic polynomial with constraints	8
Curve-guided 5-axis CNC flank milling of free-form surfaces using custom-shaped tools	8
Geometric modeling of complex knitting stitches using a bicontinuous surface and its offsets	8
h-Refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis	7
Rotational symmetry detection in 3D using reflectional symmetry candidates and quaternion-based rotation parameterization	7
Topology of the singularities of 3-RPR planar parallel robots	7
Conics in rational cubic Bézier form made simple	7
Fitting and recognition of geometric primitives in segmented 3D point clouds using a localized voting procedure	7
Genuine multi-sided parametric surface patches – A survey	6

VQ-CAD: Computer-Aided Design model generation with vector quantized diffusion	6
An attention enhanced dual graph neural network for mesh denoising	6
Characteristic parameterizations of surfaces with a constant ratio of principal curvatures	6
Symmetry group detection of point clouds in 3D via a decomposition method	5
3D shape descriptor design based on HKS and persistent homology with stability analysis	5
De Casteljau's algorithm in geometric data analysis: Theory and application	5
Interactive design of discrete Voss nets and simulation of their rigid foldings	5
On tiling spherical triangles into quadratic subpatches	4
Computing properties of subdivision schemes using small real Fourier indexed matrices	4
Hermite subdivision schemes for manifold-valued Hermite data	4
Non-uniform interpolatory subdivision schemes with improved smoothness	4
Generalized Savitzky–Golay filter for smoothing triangular meshes	4
Quasi-interpolation for analysis-suitable T-splines	4
Algorithms and data structures for C-smooth RMB-splines of degree 2s + 1	4
Editorial Board	4
A C1 simplex-spline basis for the Alfeld split in R	4
Infinity branches and asymptotic analysis of algebraic space curves: New techniques and applications	4
Extending the Hough transform to recognize and approximate space curves in 3D models	3
GPU-based supervoxel segmentation for 3D point clouds	3
Screw rotor manufacturing via 5-axis flank CNC machining using conical tools	3
Editorial Board	3
Tegula – exploring a galaxy of two-dimensional periodic tilings	3
De Casteljau's geometric approach to geometric design still alive	3
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics	3
Self-attention implicit function networks for 3D dental data completion	3
Multiscale persistent topological descriptor for porous structure retrieval	3
Adaptive refinement for unstructured T-splines with linear complexity	3
Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants	3
Editorial Board	3
Editorial Board	3
Planar projections of spatial Pythagorean-hodograph curves	3
Learning geometry-aware joint latent space for simultaneous multimodal shape generation	3
Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations	3
Obituary	3
Editorial Board	3
Curve approximation by G1 arc splines with a limited number of types of curvature and length	3
Editorial Board	3
Multi-stable design of triangulated origami structures on cones of revolution	3
Polynomial curves with projections to PH curves	2
A simple formula for the computation of branches and asymptotes of curves and some applications	2
On discrete constant principal curvature surfaces	2
Linear interpolation of shape operators for umbilical points through local parametrization	2
Computing symmetries of implicit algebraic surfaces	2
IGA-Reuse-NET: A deep-learning-based isogeometric analysis-reuse approach with topology-consistent parameterization	2
Voronoi-based splinegon decomposition and shortest-path tree computation	2
Exact sphere representations over Platonic solids based on rational multisided Bézier patches	2
Automatic tooth arrangement with joint features of point and mesh representations via diffusion probabilistic models	2
Classification of Dupin cyclidic cubes by their singularities	2
Generalized Bézier volumes over simple convex polyhedra	2
Text-image conditioned diffusion for consistent text-to-3D generation	2

G1 interpolation of v-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines	2
Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes	2
Flipping-based iterative surface reconstruction for unoriented points	2
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints	2
Singularity distance computations for 3-RPR manipulators using intrinsic metrics	2
Generated realistic noise and rotation-equivariant models for data-driven mesh denoising	1
Detection and computation of conservative kernels of models consisting of freeform curves and surfaces, using inequality constraints	1
Real-time volume rendering with octree-based implicit surface representation	1
1D CNNs and face-based random walks: A powerful combination to enhance mesh understanding and 3D semantic segmentation	1
Pythagorean-hodograph curves of Tschirnhaus type are sinusoidal spirals	1
Editorial Board	1
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation	1
Surface patches with rounded corners	1
Planar quartic G2 Hermite interpolation for curve modeling	1
Maximally smooth cubic spline quasi-interpolants on arbitrary triangulations	1
FuncScene: Function-centric indoor scene synthesis via a variational autoencoder framework	1
Paul de Casteljau: The story of my adventure	1
Curvature continuous corner cutting	1
Generalized plane offsets and rational parameterizations	1
Editorial Board	1
Automatic pose and wrinkle transfer for aesthetic garment display	1
Editorial Board	1
Efficient reparametrization into standard form and algorithmic characterization of rational ruled surfaces	1
Editorial Board	1
A new method for researching and constructing spherical bicentric polygons based on geometric mapping	1
A dynamic sampling approach towards computing Voronoi diagram of a set of circles	1
Feature-preserving quadrilateral mesh Boolean operation with cross-field guided layout blending	1
BrepMFR: Enhancing machining feature recognition in B-rep models through deep learning and domain adaptation	1
Construction of the ellipse with maximum area inscribed in an arbitrary convex quadrilateral	1
A note on intrinsic supersmoothness of bivariate semialgebraic splines	1
Angle-bounded 2D mesh simplification	1
Surfaces containing two isotropic circles through each point	1
On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining	1
Editorial Board	1
Interpolation of planar G1 data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths	1
Editorial Board	1
Classification of polynomial minimal surfaces	1
Automated placement of dental attachments based on orthodontic pathways	1
C Hermite interpolations with spatial Pythagorean hodograph B-splines	0
Discrete exterior calculus for meshes with concyclic polygons	0
Editorial Board	0
Investigations of a functional version of a blending surface scheme for regular data interpolation	0
A Chebyshev metamodel based BnB approach to efficiently search global optimum for 3D ICP point set registration	0
PSPDNet: Part-aware shape and pose disentanglement neural network for 3D human animating meshes	0
Hyperbolic barycentric coordinates and applications	0
Computing the topology of the image of a parametric planar curve under a birational transformation	0
Partition of the space of planar quintic Pythagorean-hodograph curves	0
Geometric approximation of the sphere by triangular polynomial spline patches	0
Editorial Board	0
Reliability-based G1 continuous arc spline approximation	0
Physics-aware iterative learning and prediction of saliency map for bimanual grasp planning	0
Two novel iterative approaches for improved LSPIA convergence	0
Extraction and application of super-smooth cubic B-splines over triangulations	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
Contact detection between a small ellipsoid and another quadric	0
Shape-preserving interpolation on surfaces via variable-degree splines	0
A simple and complete discrete exterior calculus on general polygonal meshes	0
Sasaki metric for spline models of manifold-valued trajectories	0
Skeleton based tetrahedralization of surface meshes	0
Topological classification of the intersection curves of two quadrics using a set of discriminants	0
Editorial Board	0
On the accuracy of de Casteljau-type algorithms and Bernstein representations	0
A phase-field approach to variational hierarchical surface segmentation	0
Planar class A Bézier curves: The case of real eigenvalues	0
High-order shape interpolation	0
Anisotropic triangular meshing using metric-adapted embeddings	0
Construction of C1 polygonal splines over quadrilateral partitions	0
Spatial quintic Pythagorean-hodograph interpolants to first-order Hermite data and Frenet frames	0
D3AdvM: A direct 3D adversarial sample attack inside mesh data	0
D3Former: Jointly learning repeatable dense detectors and feature-enhanced descriptors via saliency-guided transformer	0
Unpaired high-quality image-guided infrared and visible image fusion via generative adversarial network	0
Kernel-based construction operators for Boolean sum and ruled geometry	0
Editorial Board	0
Splines on manifolds: A survey	0
Accelerating surface remeshing through GPU-based computation of the restricted tangent face	0
Morphing of spherical closed curves	0
Dense representative tooth landmark/axis detection network on 3D model	0
Multi-resolution 3D CNN for learning multi-scale spatial features in CAD models	0
Editorial Board	0

A point-normal interpolatory subdivision scheme preserving conics	0
CasViGE: Learning robust point cloud registration with cascaded visual-geometric encoding	0
Shape control tools for periodic Bézier curves	0
Approximation properties over self-similar meshes of curved finite elements and applications to subdivision based isogeometric analysis	0
Apollonian de Casteljau–type algorithms for complex rational Bézier curves	0
Editorial Board	0
Interactive reverse engineering of CAD models	0
Editorial Board	0
Editorial Board	0
Fast evaluation of derivatives of Bézier curves	0
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures	0
Editorial Board	0
Quasi-interpolating bivariate dual 2-subdivision using	0
D-Net: Learning for distinctive point clouds by self-attentive point searching and learnable feature fusion	0
Shape reconstruction of trapezoidal surfaces from unorganized point clouds	0
The architectural application of shells whose boundaries subtend a constant solid angle	0
A task-driven network for mesh classification and semantic part segmentation	0
On the uniqueness of the multirational blossom	0
Editorial Board	0
Evolutionary multi-objective high-order tetrahedral mesh optimization	0
3D mesh cutting for high quality atlas packing	0
3D auxetic linkage based on Kirigami	0
Editorial Board	0
Resultants of slice regular polynomials in two quaternionic variables	0
Quadratic surface preserving parameterization of unorganized point data	0
An adaptive collocation method on implicit domains using weighted extended THB-splines	0
Real-time collision detection between general SDFs	0
Euler Bézier spirals and Euler B-spline spirals	0
Penalty function-based volumetric parameterization method for isogeometric analysis	0
Note on planar Pythagorean hodograph curves of Tschirnhaus type	0
M-NeuS: Volume rendering based surface reconstruction and material estimation	0
Blending Bézier patch for multi-sided surface modeling	0
G1 Hermite interpolation method for spatial PH curves with PH planar projections	0
Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves	0
Point-normal subdivision curves and surfaces	0
Symmetries of planar algebraic vector fields	0
Offsets and front tire tracks to projective hedgehogs	0
Determining the asymptotic family of an implicit curve	0
Computing the cut locus, Voronoi diagram, and signed distance function of polygons	0
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping	0
Approximation by polynomial splines on curved triangulations	0
An efficient analytical model for the swept volume generation of a flat-end mill in 5-axis CNC milling	0
Alzheimer's disease diagnosis by applying Shannon entropy to Ricci flow-based surface indexing and extreme gradient boosting	0
Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles	0
The uniqueness of the rational Bézier polygon is unique	0
Editorial Board	0
Editorial - Special issue of the SIAM Conference on Computational Geometric Design (GD 2021)	0
Feature-preserving shrink wrapping with adaptive alpha	0
Shear-reduced seamless parametrization	0
Computing the intersection between a rational parametric curve and a rational parametric surface	0
Editorial Board	0
Build orientation optimization considering thermal distortion in additive manufacturing	0
Subdivision algorithms with modular arithmetic	0
A property of parametric polynomial approximants of half circles	0
A unified algebraic framework for fast and precise planar swept volumes and Minkowski sums	0
Calibrating figures	0
Editorial Board	0
A new stable method to compute mean value coordinates	0
PointeNet: A lightweight framework for effective and efficient point cloud analysis	0
Optimal one-sided approximants of circular arc	0
Approximate symmetries of perturbed planar discrete curves	0
Alternating size field optimizing and parameterization domain CAD model remeshing	0
On G2 approximation of planar algebraic curves under certified error control by quintic Pythagorean-hodograph splines	0
Editorial Board	0
Computing the Riemannian center of mass on meshes	0
Efficient object recognition under cluttered scenes via descriptor-based matching and single point voting	0
Least variation in tool orientation control for 5-axis CNC machining	0
TPNet: A novel mesh analysis method via topology preservation and perception enhancement	0
New shape control tools for rational Bézier curve design	0
Affine invariant triangulations	0
Joint optimization of distortion and cut location for mesh parameterization using an Ambrosio-Tortorelli functional	0
On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration	0
Computational design methods for cylindrical and axisymmetric waterbomb tessellations	0
Rational framing motions and spatial rational Pythagorean hodograph curves	0
Conversion from NURBS to Bézier representation	0
2D Bézier curves with monotone curvature based on Class A matrices	0
G1 – Smooth biquintic approximation of Catmull-Clark subdivision surfaces	0
The four-point interpolation subdivision curve is neither convex nor concave in all but one case	0
A tour d'horizon of de Casteljau's work	0
Multi-sided B-spline surfaces over curved, multi-connected domains	0
An unrefinement algorithm for planar THB-spline parameterizations	0
Intrinsic mixed-integer polycubes for hexahedral meshing	0
Geometric interpolation of ER frames with G2 Pythagorean-hodograph curves of degree 7	0
New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves	0
A novel heterogeneous deformable surface model based on elasticity	0
Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network	0
Editorial Board	0
High-precision teeth reconstruction based on automatic multimodal fusion with CBCT and IOS	0