学术论文

Improving the Watertightness of Parametric Surface Intersections

Y. Wang, X. Jia, J. Yang, B. Wang, P. Bo, Y. Liu.

Accepted by Computer Graphics Forum, 2025.

Overlap Region Extraction of Two NURBS Surfaces

Y. Yang, X. Jia.

ACM Transactions on Graphics (Siggraph Asia 2025), 2025.

Boolean Operation for CAD Models Using a Hybrid Representation

Y. Yang, X. Jia, B. Wang, J. Yang, S. Xin, D.-M. Yan.

ACM Transactions on Graphics (Siggraph 2025), 44(4): 1-17, 2025.

Fast Determination and Computation of Self-Intersections for B-Spline Surfaces

K. Li, X. Jia, F. Chen.

ACM Transactions on Graphics, 44(2): 1-16, 2025.

Computing the Intersection of Two Ellipsoids Based on A Fast Algebraic Topology Determination Strategy

X. Chu, K. Li, X. Jia, J. Yang, J. Kang.

Computer Aided Geometric Design (GMP 2025), 119: 102442, 2025.

A Bayesian Approach Toward Robust Multidimensional Ellipsoid-Specific Fitting

M. Zhao, X. Jia, L. Ma, Y. Shi, J. Jiang, Q. Li, D.-M. Yan, T. Huang.

IEEE Transactions on Pattern Analysis and Machine Intelligence, 46(12): 10106-10123, 2024.

NeurCADRecon: Neural Representation for Reconstructing CAD Surfaces by Enforcing Zero Gaussian Curvature

Q. Dong, R. Xu, P. Wang, S. Chen, S. Xin, X. Jia, W. Wang, C. Tu.

ACM Transactions on Graphics (Siggraph 2024), 43(4):1-17, 2024.

Coherent Chord Computation and Cross Ratio for Accurate Ellipse Detection

M. Zhao, X. Jia, L. Ma, L. Hu, D.-M. Yan.

Pattern Recognition, 146: 109983, 2024.

Topology Guaranteed B-Spline Surface-Surface Intersection

J. Yang, X. Jia, D.-M. Yan.

ACM Transactions on Graphics (Siggraph Asia 2023), 32: 1-16, 2023.

Efficient Computation of Moving Planes for Rational Parametric Surfaces with Base Points Using Dixon Resultants

K. Li, X. Jia, F. Chen.

Computer Aided Geometric Design, 107: 102253, 2023.

Structure-Aware Surface Reconstruction via Primitive Assembly

J. Jiang, M. Zhao, S. Xin, Y. Yang, H. Wang, X. Jia, D.-M. Yan.

Proceedings of the IEEE/CVF International Conference on Computer Vision (ICCV 2023), 14171-14180, 2023.

LARNeXt: End-to-End Lie Algebra Residual Network for Face Recognition

X. Yang, X. Jia, D. Gong, D.-M. Yan, Z. Li, W. Liu.

IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(10): 11961-11976, 2023.

Singularity Computation for Rational Parametric Surfaces Using Moving Planes

X. Jia, F. Chen, S. Yao.

ACM Transactions on Graphics, 42(1): 1-14, 2022.

Topological Classification and Determination of Non-Degenerate Intersections of Two Dupin Cyclides

S. Yao, X. Jia.

Computer Aided Design, 153: 103406, 2022.

Computing the Intersection of Two Rational Surfaces Using Matrix Representations

X. Jia, K. Li, J. Cheng.

Computer Aided Design (Proceeding of SPM 2022 Symposium), 150: 103303, 2022.

GraphReg: Dynamical Point Cloud Registration with Geometry-aware Graph Signal Processing

M. Zhao, L. Ma, X. Jia, D.-M. Yan, T. Huang.

IEEE Transactions on Image Processing, 31: 7449-7464, 2022.

LARNet: Lie Algebra Residual Network for Face Recognition

X. Yang, X. Jia, D. Gong, D.-M. Yan, Z. Li, W. Liu.

Proceedings of Machine Learning Research (PMLR 2021), 139: 11738-11750, 2021.

Robust Ellipse Fitting Using Hierarchical Gaussian Mixture Models

M. Zhao, X. Jia, L. Fan, Y. Liang, D.-M. Yan.

IEEE Transactions on Image Processing, 30: 3828-3843, 2021.

An Occlusion-Resistant Circle Detector Using Inscribed Triangles

M. Zhao, X. Jia, D.-M. Yan.

Pattern Recognition, 109: 107588, 2021.

Combining Convex Hull and Directed Graph for Fast and Accurate Ellipse Detection

Z. Shen, M. Zhao, X. Jia, Y. Liang, L. Fan, D.-M. Yan.

Graphical Models, 116: 101110, 2021.

Complete Classifications and Efficient Determination of Arrangements Formed by Two Ellipsoids

X. Jia, C. Tu, B. Mourrain, W. Wang.

ACM Transactions on Graphics, 39(3): 1-12, 2020.

Quaternion Rational Surfaces

J. Hoffman, X. Jia, H. Wang.

Journal of Commutative Algebra, 12(2): 237-261, 2020.

Simple Primitive Recognition via Hierarchical Face Clustering

X. Yang, X. Jia.

Computational Visual Media, 6: 431–443, 2020.

Enumerating the Morphology of Non-Degenerate Darboux Cyclides

M. Zhao, X. Jia, C. Tu, B. Mourrain, W. Wang.

Computer Aided Geometric Design, 75: 101776, 2019.

µ-Bases for Rational Canal Surfaces

S. Yao, X. Jia.

Computer Aided Geometric Design, 69: 11-26, 2019.

A Package to Compute Implicit Equations for the Rational Curves and Surfaces

S. Yao, Y. Feng, X. Jia, L. Shen.

ACM Communications in Computer Algebra, 53(2): 33-36, 2019.

Multi-Strip Smooth Developable Surfaces From Sparse Design Curves

P. Bo, Y. Zheng, X. Jia, C. Zhang.

Computer Aided Design, 114: 1-12, 2019.

Automatic and High-Quality Surface Mesh Generation for CAD Models

J. Guo, F. Ding, X. Jia, D.-M. Yan.

Computer Aided Design, 109: 49-59, 2019.

Survey on the Theory and Applications of µ-Bases for Rational Curves and Surfaces

X. Jia, X. Shi, F. Chen.

Journal of Computational and Applied Mathematics, 329: 2-23, 2018.

Continuous Detection of the Variations of the Intersection Curve of Two Moving Quadrics in 3-Dimensional Projective Space

X. Jia, W. Wang, Y.-K. Choi, B. Mourrain, C. Tu.

Journal of Symbolic Computation, 73: 221-243, 2016.

Efficient Maximal Possion-Disk Sampling and Remeshing on Surfaces

J. Guo, D.-M. Yan, X. Jia, X. Zhang.

Computers & Graphics, 46: 72-79, 2015.

Role of Moving Planes and Moving Spheres Following Dupin Cyclides

X. Jia.

Computer Aided Geometric Design, 31(3-4): 168-181, 2014.

Blue-Noise Remeshing with Farthest Point Optimization

D.-M. Yan, J. Guo, X. Jia, X. Zhang, P. Wanka.

Computer Graphics Forum, 33(5): 167-176, 2014.

Continuous Collision Detection for Composite Quadric Models

Y.-K. Choi, W. Wang, B. Mourrain, C. Tu, X. Jia, F. Sun.

Graphical Models, 76(5): 566-579, 2014.

Computing Perspective Projections in 3-Dimensions Using Rotors In the Homogeneous and Conformal Models of Clifford Algebra

R. Goldman, Steve Mann, X. Jia.

Advances in Applied Clifford Algebras, 24: 465-491, 2014.

Using a Bihomogeneous Resultant to Find the Singularities of Rational Space Curves

X. Shi, X. Jia, R. Goldman, B. Hassett.

Journal of Symbolic Computation, 53: 1-25, 2013.

Topological Classification of Non-Degenerate Intersections of Two Ring Tori

X. Jia, C. Tu, W. Wang.

Computer Aided Geometric Design, 30(2): 181-198, 2013.

Using Smith Normal Forms and µ-Bases to Compute All the Singularities of Rational Planar Curves

X. Jia, R. Goldman.

Computer Aided Geometric Design, 29(6): 296-314, 2012.

Representing Perspective Projections as Rotors in the Homogeneous Model of the Clifford Algebra for 3-Dimensional Euclidean Space

X. Jia, R. Goldman.

Conference of Applied Geometric Algebras in Computer Science and Engineering, 2012, France.

An Algebraic Approach to Continuous Collision Detection for Ellipsoids

X. Jia, Y.-K. Choi, B. Mourrain, W. Wang.

Computer Aided Geometric Design, 28(3): 164-176, 2011.

Minimal Generators for the Rees Algebra of Rational Space Curves of Type (1,1,d-2)

W. Hoffman, H. Wang, X. Jia, R. Goldman.

European Journal of Pure and Applied Mathematics, 3(4): 602-632, 2010.

Set-Theoretic Generators of Rational Space Curves

X. Jia, H. Wang, R. Goldman.

Journal of Symbolic Computation, 45(4): 414-433, 2010.

µ-Bases and Singularities of Rational Planar Curves

X. Jia, R. Goldman.

Computer Aided Geometric Design, 26(9): 970-988, 2009.

Axial Moving Planes and Singularities of Rational Space Curves

H. Wang, X. Jia, R. Goldman.

Computer Aided Geometric Design, 26(3): 300-316, 2009.

Computing Self-intersection Curves of Rational Ruled Surfaces

X. Jia, F. Chen, J. Deng.

Computer Aided Geometric Design, 26(3): 287-299, 2009.

专著

Commutative Algebra: An Introduction

W. Hoffman, X. Jia, H. Wang.

Mercury Learning and Information, ISBN: 978-1944534608, 2016.

Essentials of Commutative Algebra

W. Hoffman, X. Jia, H. Wang.

Overseas Press India Private Limited, ISBN: 978-9383803217, 2016.