Computer Aided Geometric Design

Article	Citations
TPNet: A novel mesh analysis method via topology preservation and perception enhancement	22
Curve-guided 5-axis CNC flank milling of free-form surfaces using custom-shaped tools	16
Parameterization for polynomial curve approximation via residual deep neural networks	14
Local Delaunay-based high fidelity surface reconstruction from 3D point sets	11
Real-World Textured Things: A repository of textured models generated with modern photo-reconstruction tools	11
A sufficient condition for 3D typical curves	11
Characterizing envelopes of moving rotational cones and applications in CNC machining	10
Penalty function-based volumetric parameterization method for isogeometric analysis	10
Intrinsic mixed-integer polycubes for hexahedral meshing	10
Self-attention implicit function networks for 3D dental data completion	10
Binary segmentation of medical images using implicit spline representations and deep learning	10
Low degree splines for locally quad-dominant meshes	10
New shape control tools for rational Bézier curve design	9
Geometric modeling of complex knitting stitches using a bicontinuous surface and its offsets	9
Multi-sided B-spline surfaces over curved, multi-connected domains	9
Fitting and recognition of geometric primitives in segmented 3D point clouds using a localized voting procedure	9
G1 – Smooth biquintic approximation of Catmull-Clark subdivision surfaces	8
Computational design methods for cylindrical and axisymmetric waterbomb tessellations	8
D3AdvM: A direct 3D adversarial sample attack inside mesh data	8
Non-uniform interpolatory subdivision schemes with improved smoothness	7
GPU-based supervoxel segmentation for 3D point clouds	7
h-Refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis	7
On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration	7
Characteristic parameterizations of surfaces with a constant ratio of principal curvatures	7
IGA-Reuse-NET: A deep-learning-based isogeometric analysis-reuse approach with topology-consistent parameterization	7

Dense representative tooth landmark/axis detection network on 3D model	6
Heterogeneous parametric trivariate fillets	6
Computing planar and volumetric B-spline parameterizations for IGA by robust mapping fitting	6
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping	6
Handling heterogeneous structures and materials using blending schemes in V-reps	6
Multiscale persistent topological descriptor for porous structure retrieval	6
Self-intersection computation for freeform surfaces based on a regional representation scheme for miter points	5
Multi-stable design of triangulated origami structures on cones of revolution	5
Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations	5
Implicit surface reconstruction based on a new interpolation/approximation radial basis function	5
An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision	5
Multi-sided completion of C2 bi-3 and C1 bi-2 splines: A unifying approach	5
Rotational symmetry detection in 3D using reflectional symmetry candidates and quaternion-based rotation parameterization	5
Multi-derivative physical and geometric convolutional embedding networks for skeleton-based action recognition	5
A visibility-based surface reconstruction method on the GPU	5
Generalized Savitzky–Golay filter for smoothing triangular meshes	5
SCN: Dilated silhouette convolutional network for video action recognition	4
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation	4
Kinematic interpretation of Darboux cyclides	4
A parallel algorithm for computing Voronoi diagram of a set of circles using touching disc and topology matching	4
C Hermite interpolations with spatial Pythagorean hodograph B-splines	4
A simple formula for the computation of branches and asymptotes of curves and some applications	4
Streaming Hermite interpolation using cubic splinelets	4
Representing planar domains by polar parameterizations with parabolic parameter lines	4
Offsets and front tire tracks to projective hedgehogs	4
Blending Bézier patch for multi-sided surface modeling	4
Curve approximation by G1 arc splines with a limited number of types of curvature and length	4
Sharp feature consolidation from raw 3D point clouds via displacement learning	4
Precise Hausdorff distance computation for freeform surfaces based on computations with osculating toroidal patches	4
Tubular parametric volume objects: Thickening a piecewise smooth 3D stick figure	3
27 variants of Tutte's theorem for plane near-triangulations and an application to periodic spline surface fitting	3
Constructing quadratic birational maps via their complex rational representation	3
Multi-resolution 3D CNN for learning multi-scale spatial features in CAD models	3
Interpolation of planar G1 data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths	3
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints	3
Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis	3
Rational framing motions and spatial rational Pythagorean hodograph curves	3
Planar class A Bézier curves: The case of real eigenvalues	3
The uniqueness of the rational Bézier polygon is unique	3
Computing the Riemannian center of mass on meshes	3
Detection and computation of conservative kernels of models consisting of freeform curves and surfaces, using inequality constraints	3
On C0 and C1 continuity of envelopes of rotational solids and its application to 5-axis CNC machining	3
Tegula – exploring a galaxy of two-dimensional periodic tilings	3
Algebraic and geometric characterizations of a class of Algebraic-Hyperbolic Pythagorean-Hodograph curves	3
Approximation by polynomial splines on curved triangulations	3
Morphing of spherical closed curves	3
A sampling type discernment approach towards reconstruction of a point set in R2	3
A phase-field approach to variational hierarchical surface segmentation	3
BrepMFR: Enhancing machining feature recognition in B-rep models through deep learning and domain adaptation	3
Computing symmetries of implicit algebraic surfaces	3

Point-normal subdivision curves and surfaces	2
Sasaki metric for spline models of manifold-valued trajectories	2
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics	2
Accelerating surface remeshing through GPU-based computation of the restricted tangent face	2
Single-sized spheres on surfaces (S4)	2
An efficient analytical model for the swept volume generation of a flat-end mill in 5-axis CNC milling	2
Determining the asymptotic family of an implicit curve	2
Geometric interpolation of ER frames with G2 Pythagorean-hodograph curves of degree 7	2
Classification of polynomial minimal surfaces	2
Genuine multi-sided parametric surface patches – A survey	2
An unrefinement algorithm for planar THB-spline parameterizations	2
Geometric approximation of the sphere by triangular polynomial spline patches	2
Approximate symmetries of perturbed planar discrete curves	2
3D mesh cutting for high quality atlas packing	2
Exact sphere representations over Platonic solids based on rational multisided Bézier patches	2
Log-aesthetic curves: Similarity geometry, integrable discretization and variational principles	2
Topology of the singularities of 3-RPR planar parallel robots	2
Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves	2
A simple and complete discrete exterior calculus on general polygonal meshes	2
Adaptive refinement for unstructured T-splines with linear complexity	1
Data approximation by L1 spline fits with free knots	1
On the uniqueness of the multirational blossom	1
Mean curvature flow for generating discrete surfaces with piecewise constant mean curvatures	1
A unified algebraic framework for fast and precise planar swept volumes and Minkowski sums	1
Generalized plane offsets and rational parameterizations	1
Surface patches with rounded corners	1
Screw rotor manufacturing via 5-axis flank CNC machining using conical tools	1
Learning geometry-aware joint latent space for simultaneous multimodal shape generation	1
Interactive design of discrete Voss nets and simulation of their rigid foldings	1
De Casteljau's algorithm in geometric data analysis: Theory and application	1
Note on planar Pythagorean hodograph curves of Tschirnhaus type	1
Affine invariant triangulations	1
CasViGE: Learning robust point cloud registration with cascaded visual-geometric encoding	1
A dynamic sampling approach towards computing Voronoi diagram of a set of circles	1
New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves	1
Text-image conditioned diffusion for consistent text-to-3D generation	1
On discrete constant principal curvature surfaces	1
Conics in rational cubic Bézier form made simple	1
Shape-preserving interpolation on surfaces via variable-degree splines	1
Least variation in tool orientation control for 5-axis CNC machining	1
Contact detection between a small ellipsoid and another quadric	1
Paul de Casteljau: The story of my adventure	1
Construction of C1 polygonal splines over quadrilateral partitions	1
Unpaired high-quality image-guided infrared and visible image fusion via generative adversarial network	1
Linear interpolation of shape operators for umbilical points through local parametrization	1
High-order shape interpolation	0
A note on intrinsic supersmoothness of bivariate semialgebraic splines	0
Editorial Board	0
Point-StyleGAN: Multi-scale point cloud synthesis with style modulation	0
Partition of the space of planar quintic Pythagorean-hodograph curves	0
The architectural application of shells whose boundaries subtend a constant solid angle	0
Angle-bounded 2D mesh simplification	0
Polynomial curves with projections to PH curves	0
On tiling spherical triangles into quadratic subpatches	0
Spatial quintic Pythagorean-hodograph interpolants to first-order Hermite data and Frenet frames	0
Efficient reparametrization into standard form and algorithmic characterization of rational ruled surfaces	0
G1 interpolation of v-asymmetric data with arc-length constraints by Pythagorean-hodograph cubic splines	0
Enforcing convergence of derivatives for L∞ approximation of a regular curve	0
Shape control tools for periodic Bézier curves	0
Editorial Board	0
Efficient computation of moving planes for rational parametric surfaces with base points using Dixon resultants	0
Editorial Board	0
Editorial Board	0
Fast evaluation of derivatives of Bézier curves	0
Special issue on 14th International Conference on Geometric Modeling and Processing (GMP2020)	0
Investigations of a functional version of a blending surface scheme for regular data interpolation	0
Editorial Board	0
Editorial Board	0
On G2 approximation of planar algebraic curves under certified error control by quintic Pythagorean-hodograph splines	0
D-Net: Learning for distinctive point clouds by self-attentive point searching and learnable feature fusion	0
Automatic tooth arrangement with joint features of point and mesh representations via diffusion probabilistic models	0
Computing the intersection between a rational parametric curve and a rational parametric surface	0
Euler Bézier spirals and Euler B-spline spirals	0
Editorial Board	0
Alternating size field optimizing and parameterization domain CAD model remeshing	0
Editorial Board	0
Flipping-based iterative surface reconstruction for unoriented points	0
Quasi-interpolating bivariate dual 2-subdivision using	0
A task-driven network for mesh classification and semantic part segmentation	0
A new method for researching and constructing spherical bicentric polygons based on geometric mapping	0

Algorithms and data structures for C-smooth RMB-splines of degree 2s + 1	0
Conversion from NURBS to Bézier representation	0
Computing the cut locus, Voronoi diagram, and signed distance function of polygons	0
Real-time volume rendering with octree-based implicit surface representation	0
Symmetry group detection of point clouds in 3D via a decomposition method	0
M-NeuS: Volume rendering based surface reconstruction and material estimation	0
Curvature continuous corner cutting	0
FuncScene: Function-centric indoor scene synthesis via a variational autoencoder framework	0
pκ-Curves: Interpolatory curves with curvature approximating a parabola	0
Evolutionary multi-objective high-order tetrahedral mesh optimization	0
Editorial Board	0
1D CNNs and face-based random walks: A powerful combination to enhance mesh understanding and 3D semantic segmentation	0
3D shape descriptor design based on HKS and persistent homology with stability analysis	0
Editorial Board	0
Pythagorean-hodograph curves of Tschirnhaus type are sinusoidal spirals	0
Obituary	0
Editorial Board	0
Editorial Board	0
Physics-aware iterative learning and prediction of saliency map for bimanual grasp planning	0
Surfaces containing two isotropic circles through each point	0
Local linear independence of bilinear (and higher degree) B-splines on hierarchical T-meshes	0
Editorial Board	0
Extraction and application of super-smooth cubic B-splines over triangulations	0
Editorial Board	0
Editorial Board	0
Quaternionic Bézier parameterizations of bidegree (2,1)	0
Feature-preserving shrink wrapping with adaptive alpha	0
On the accuracy of de Casteljau-type algorithms and Bernstein representations	0
De Casteljau's geometric approach to geometric design still alive	0
Quadratic surface preserving parameterization of unorganized point data	0
Editorial Board	0
Classification of Dupin cyclidic cubes by their singularities	0
Editorial Board	0
Curvature computations for the intersection curves of hypersurfaces in Euclidean n-space	0
Joint optimization of distortion and cut location for mesh parameterization using an Ambrosio-Tortorelli functional	0
PointeNet: A lightweight framework for effective and efficient point cloud analysis	0
Editorial Board	0
Voronoi-based splinegon decomposition and shortest-path tree computation	0
Apollonian de Casteljau–type algorithms for complex rational Bézier curves	0
Symmetries of planar algebraic vector fields	0
Editorial Board	0
Singularity distance computations for 3-RPR manipulators using intrinsic metrics	0
Editorial Board	0
Fast parameterization of planar domains for isogeometric analysis via generalization of deep neural network	0
Construction of the ellipse with maximum area inscribed in an arbitrary convex quadrilateral	0
Computing properties of subdivision schemes using small real Fourier indexed matrices	0
A tour d'horizon of de Casteljau's work	0
Alzheimer's disease diagnosis by applying Shannon entropy to Ricci flow-based surface indexing and extreme gradient boosting	0
Feature-preserving quadrilateral mesh Boolean operation with cross-field guided layout blending	0
Computing nodes for plane data points by constructing cubic polynomial with constraints	0
An adaptive collocation method on implicit domains using weighted extended THB-splines	0
Maximally smooth cubic spline quasi-interpolants on arbitrary triangulations	0
Planar quartic G2 Hermite interpolation for curve modeling	0
VQ-CAD: Computer-Aided Design model generation with vector quantized diffusion	0
Editorial Board	0
Towards geodesic ridge curve for region-wise linear representation of geodesic distance field	0
G1 Hermite interpolation method for spatial PH curves with PH planar projections	0
GMP2021 – 15th International Conference on Geometric Modeling and Processing	0
Asynchronous progressive iterative approximation method for least squares fitting	0
The four-point interpolation subdivision curve is neither convex nor concave in all but one case	0
Automatic pose and wrinkle transfer for aesthetic garment display	0
Editorial Board	0
Detecting and parametrizing polynomial surfaces without base points	0
Editorial Board	0
A point-normal interpolatory subdivision scheme preserving conics	0
Topological classification of the intersection curves of two quadrics using a set of discriminants	0
Editorial Board	0
Quasi-interpolation for analysis-suitable T-splines	0
Computing the topology of the image of a parametric planar curve under a birational transformation	0
2D Bézier curves with monotone curvature based on Class A matrices	0
Editorial Board	0
Interactive reverse engineering of CAD models	0
Hyperbolic barycentric coordinates and applications	0
Extending the Hough transform to recognize and approximate space curves in 3D models	0
Efficient object recognition under cluttered scenes via descriptor-based matching and single point voting	0
Editorial - Special issue of the SIAM Conference on Computational Geometric Design (GD 2021)	0
Planar projections of spatial Pythagorean-hodograph curves	0
PSPDNet: Part-aware shape and pose disentanglement neural network for 3D human animating meshes	0
Splines on manifolds: A survey	0
A property of parametric polynomial approximants of half circles	0
D3Former: Jointly learning repeatable dense detectors and feature-enhanced descriptors via saliency-guided transformer	0
Editorial Board	0
Hermite subdivision schemes for manifold-valued Hermite data	0
Discrete exterior calculus for meshes with concyclic polygons	0
Anisotropic triangular meshing using metric-adapted embeddings	0
Editorial Board	0
Generalized Bézier volumes over simple convex polyhedra	0
A new stable method to compute mean value coordinates	0
Two novel iterative approaches for improved LSPIA convergence	0
Generated realistic noise and rotation-equivariant models for data-driven mesh denoising	0
GeoHi-GNN: Geometry-aware hierarchical graph representation learning for normal estimation	0
Real-time collision detection between general SDFs	0
Resultants of slice regular polynomials in two quaternionic variables	0
Automated placement of dental attachments based on orthodontic pathways	0
An attention enhanced dual graph neural network for mesh denoising	0