OOIR: Observatory of International Research

Papers

(The median citation count of Computer Aided Geometric Design is 2. 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 2020-04-01 to 2024-04-01.)

Article	Citations
Interpolatory Catmull-Clark volumetric subdivision over unstructured hexahedral meshes for modeling and simulation applications	20
NLIGA: A MATLAB framework for nonlinear isogeometric analysis	20
Isogeometric shape optimization of an acoustic horn using the teaching-learning-based optimization (TLBO) algorithm	19
LRC-Net: Learning discriminative features on point clouds by encoding local region contexts	18
Simultaneous interior and boundary optimization of volumetric domain parameterizations for IGA	17
An optimized yarn-level geometric model for Finite Element Analysis of weft-knitted fabrics	16
TPNet: A novel mesh analysis method via topology preservation and perception enhancement	14
Spatial Pythagorean-Hodograph B–Spline curves and 3D point data interpolation	14
Robustly computing restricted Voronoi diagrams (RVD) on thin-plate models	12
An efficient method to integrate polynomials over polytopes and curved solids	12
Multi-stage point completion network with critical set supervision	12
P2MAT-NET: Learning medial axis transform from sparse point clouds	12
Curve-guided 5-axis CNC flank milling of free-form surfaces using custom-shaped tools	11
Intrinsic mixed-integer polycubes for hexahedral meshing	10
Isogeometric analysis for trimmed CAD surfaces using multi-sided toric surface patches	10
Local Delaunay-based high fidelity surface reconstruction from 3D point sets	10
A sufficient condition for 3D typical curves	9
Binary segmentation of medical images using implicit spline representations and deep learning	9
Extending Ball B-spline by B-spline	9
Self-attention implicit function networks for 3D dental data completion	9
Reverse engineering of CAD models via clustering and approximate implicitization	8
On a progressive and iterative approximation method with memory for least square fitting	8
Geometric modeling of complex knitting stitches using a bicontinuous surface and its offsets	8
Characterizing envelopes of moving rotational cones and applications in CNC machining	8
Penalty function-based volumetric parameterization method for isogeometric analysis	8

Local (T)HB-spline projectors via restricted hierarchical spline fitting	8
Parameterization for polynomial curve approximation via residual deep neural networks	8
New shape control tools for rational Bézier curve design	8
Real-World Textured Things: A repository of textured models generated with modern photo-reconstruction tools	8
D3AdvM: A direct 3D adversarial sample attack inside mesh data	7
Pose to Seat: Automated design of body-supporting surfaces	7
Optimal parametric interpolants of circular arcs	6
Robust atlas generation via angle-based segmentation	6
Heterogeneous parametric trivariate fillets	6
Laplacian-optimized diffusion for semi-supervised learning	6
Computing planar and volumetric B-spline parameterizations for IGA by robust mapping fitting	6
Computational design methods for cylindrical and axisymmetric waterbomb tessellations	6
Constructing planar domain parameterization with HB-splines via quasi-conformal mapping	6
Low degree splines for locally quad-dominant meshes	6
Handling heterogeneous structures and materials using blending schemes in V-reps	6
Adaptive IGAFEM with optimal convergence rates: T-splines	6
Evaluation and subdivision algorithms for general classes of totally positive rational bases	6
Non-uniform interpolatory subdivision schemes with improved smoothness	6
Controlling extremal Pythagorean hodograph curves by Gauss–Legendre polygons	5
Multi-derivative physical and geometric convolutional embedding networks for skeleton-based action recognition	5
IGA-Reuse-NET: A deep-learning-based isogeometric analysis-reuse approach with topology-consistent parameterization	5
Singular cases of planar and spatial C1 Hermite interpolation problems based on quintic Pythagorean-hodograph curves	5
Self-intersection computation for freeform surfaces based on a regional representation scheme for miter points	5
Iterative coordinates	5
Characteristic parameterizations of surfaces with a constant ratio of principal curvatures	5
SP-Flow: Self-supervised optical flow correspondence point prediction for real-time SLAM	5
GPU-based supervoxel segmentation for 3D point clouds	5
Fitting and recognition of geometric primitives in segmented 3D point clouds using a localized voting procedure	5
Algebraic and geometric characterizations of a class of planar quartic curves with rational offsets	4
Generalized Savitzky–Golay filter for smoothing triangular meshes	4
As-developable-as-possible B-spline surface interpolation to B-spline curves	4
C Hermite interpolations with spatial Pythagorean hodograph B-splines	4
A trivariate T-spline based framework for modeling heterogeneous solids	4
Interpolation of planar G1 data by Pythagorean-hodograph cubic biarcs with prescribed arc lengths	4
The distance function from a real algebraic variety	4
Multi-sided completion of C2 bi-3 and C1 bi-2 splines: A unifying approach	4
A visibility-based surface reconstruction method on the GPU	4
Dimension of polynomial splines of mixed smoothness on T-meshes	4
Offsets and front tire tracks to projective hedgehogs	4
Smooth polar caps for locally quad-dominant meshes	4
Variational shape approximation of point set surfaces	4
Dense representative tooth landmark/axis detection network on 3D model	4
Skeletonization via dual of shape segmentation	4
A simple formula for the computation of branches and asymptotes of curves and some applications	4
Multiscale persistent topological descriptor for porous structure retrieval	4
Representing planar domains by polar parameterizations with parabolic parameter lines	4
Streaming Hermite interpolation using cubic splinelets	4
Construction of Minkowski Pythagorean hodograph B-spline curves	4
Persistent manifolds of the special Euclidean group SE(3): A review	4
Classification of planar Pythagorean hodograph curves	4

An annihilator-based strategy for the automatic detection of exponential polynomial spaces in subdivision	4
G1 – Smooth biquintic approximation of Catmull-Clark subdivision surfaces	4
Multi-stable design of triangulated origami structures on cones of revolution	4
An input-independent single pass algorithm for reconstruction from dot patterns and boundary samples	3
Euclidean offset and bisector approximations of curves over freeform surfaces	3
Multi-resolution 3D CNN for learning multi-scale spatial features in CAD models	3
h-Refinement method for toric parameterization of planar multi-sided computational domain in isogeometric analysis	3
Precise Hausdorff distance computation for freeform surfaces based on computations with osculating toroidal patches	3
Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis	3
Refinable tri-variate C1 splines for box-complexes including irregular points and irregular edges	3
Tubular parametric volume objects: Thickening a piecewise smooth 3D stick figure	3
Multi-sided B-spline surfaces over curved, multi-connected domains	3
On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration	3
Isogeometric collocation method with intuitive derivative constraints for PDE-based analysis-suitable parameterizations	3
Recognizing algebraic affine rotation surfaces	3
Sharp feature consolidation from raw 3D point clouds via displacement learning	3
Ambiguous tiling	3
Example-driven modeling of portrait bas-relief	3
CSIOR: Circle-Surface Intersection Ordered Resampling	3
Spherical interpolatory geometric subdivision schemes	3
A sampling type discernment approach towards reconstruction of a point set in R2	3
Four-bar linkages, elliptic functions, and flexible polyhedra	3
Implicit surface reconstruction based on a new interpolation/approximation radial basis function	3
A parallel algorithm for computing Voronoi diagram of a set of circles using touching disc and topology matching	3
Algebraic and geometric characterizations of a class of Algebraic-Hyperbolic Pythagorean-Hodograph curves	3
SCN: Dilated silhouette convolutional network for video action recognition	3
Approximation by polynomial splines on curved triangulations	2
The uniqueness of the rational Bézier polygon is unique	2
h-Bernstein basis functions over a triangular domain	2
Constructing quadratic birational maps via their complex rational representation	2
Classification of polynomial minimal surfaces	2
Non-rigid 3D shape retrieval based on multi-scale graphical image and joint Bayesian	2
Tegula – exploring a galaxy of two-dimensional periodic tilings	2
Single-sized spheres on surfaces (S4)	2
Rational framing motions and spatial rational Pythagorean hodograph curves	2
Argyris type quasi-interpolation of optimal approximation order	2
EasyMesh: An efficient method to reconstruct 3D mesh from a single image	2
Geometric approximation of the sphere by triangular polynomial spline patches	2
27 variants of Tutte's theorem for plane near-triangulations and an application to periodic spline surface fitting	2
Consistent dynamic map labeling with fairness and importance	2
A phase-field approach to variational hierarchical surface segmentation	2
Fitting a planar quadratic slerp motion	2
Shape analysis of planar PH curves with the Gauss–Legendre control polygons	2
Visibility-driven skeleton extraction from unstructured points	2
Rotational symmetry detection in 3D using reflectional symmetry candidates and quaternion-based rotation parameterization	2
Spline surfaces with C1 quintic PH isoparametric curves	2
Computing projective equivalences of planar curves birationally equivalent to elliptic and hyperelliptic curves	2
Dynamic spline bas-relief modeling with isogeometric collocation method	2
A simple and complete discrete exterior calculus on general polygonal meshes	2
Morphing of spherical closed curves	2
Tetrahedral mesh deformation with positional constraints	2
Geometric interpolation of ER frames with G2 Pythagorean-hodograph curves of degree 7	2
Detection and computation of conservative kernels of models consisting of freeform curves and surfaces, using inequality constraints	2
Point normal orientation and surface reconstruction by incorporating isovalue constraints to Poisson equation	2
Construction of planar quintic Pythagorean-hodograph curves by control-polygon constraints	2
A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics	2
Topology of the singularities of 3-RPR planar parallel robots	2
Planar class A Bézier curves: The case of real eigenvalues	2
An unrefinement algorithm for planar THB-spline parameterizations	2
Determining the asymptotic family of an implicit curve	2