Selected
Publications
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Boolean Operation for CAD Models Using a Hybrid Representation.
Y. Yang, X. Jia, B. Wang, J. Yang, S. Xin, D.-M. Yan
Accepted by SIGGRAPH 2025.
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Fast Determination and Computation of Self-Intersections for B-Spline Surfaces.
K. Li, X. Jia & F. Chen.
ACM Transactions on Graphics, Vol. 44(2), article 18, 2025.
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Computing the Intersection of Two Ellipsoids Based on A Fast Algebraic Topology Determination Strategy..
X. Chu, K. Li, X. Jia, J. Yang and J. Kang.
Computer Aided Geometric Design (GMP), Vol. 119, 2025.
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A Bayesian Approach Toward Robust Multidimensional Ellipsoid-Specific Fitting.
M. Zhao, X. Jia, L. Ma, Y. Shi, J. Jiang, Q. Li, D. Yan, T. Huang.
IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 46(12), 2024.
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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. Vol. 43(4), article 51, pages 1-17, 2024.
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Topology Guaranteed B-Spline Surface-Surface Intersection.
J. Yang, X. Jia & D. Yan.
ACM Transactions on Graphics (Siggraph Asia) , Vol. 42, 2023.
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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, 2023.
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Structure-Aware Surface Reconstruction via Primitive Assembly.
J. Jiang, M. Zhao, S. Xin, Y. Yang, H. Wang, X. Jia & D.-M. Yan.
ICCV, 2023.
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Coherent chord computation and cross ratio for accurate ellipse detection.
M. Zhao, X. Jia, L. Ma, L. Hu & D.-M. Yan.
Pattern Recognition, Vol. 146, 2024.
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Singularity Computation for Rational Parametric Surfaces Using Moving Planes.
X. Jia, F. Chen and S. Yao.
ACM Transactions on Graphics, Vol. 42(1), article 12, 1-14, 2022.
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Topological Classification and Determination of Non-Degenerate Intersections of Two Dupin Cyclides.
S. Yao and X. Jia.
Computer Aided Design, Vol. 153, 2022.
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Computing the Intersection of Two Rational Surfaces Using Matrix Representations.
X. Jia, K. Li and J. Cheng.
Computer Aided Design (Special Issue of ACM SPM), Vol. 150, 2022.
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LARNet: Lie Algebra Residual Network for Face Recognition.
X. Yang, X. Jia, D. Gong, D.-M. Yan, Z. Li and W. Liu.
Proceedings of 38th International Conference on Machine Learning,
PMLR Vol. 139:11738-11750, 2021.
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Robust Ellipse Fitting Using Hierarchical Gaussian Mixture Models.
M. Zhao, X. Jia, L. Fan, Y. Liang, D.-M. Yan.
IEEE Transactions on Image Processing. Vol. 30, 3828-3843, 2021.
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An Occlusion-Resistant Circle Detector Using Inscribed Triangles.
M. Zhao, X. Jia, and D.-M. Yan.
Pattern Recognition. Vol. 109, January 2021.
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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, Vol. 116, July 2021.
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Complete Classifications and Efficient Determination of Arrangements Formed by Two Ellipsoids.
X. Jia, C. Tu, B. Mourrain and W. Wang.
ACM Transactions on Graphics, Vol. 39, article 27, 2020.
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Quaternion Rational Surfaces.
J. Hoffman, X. Jia and H. Wang.
Journal of Commutative Algebra, Vol 12(2), 237-261, 2020. |
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Simple Primitive Recognition via Hierarchical Face Clustering.
X. Yang and X. Jia.
Computational Visual Media. Vol. 6(4), 431-443, 2020.
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6D Pose Estimation with A Two-stream Net.
X. Yang and X. Jia.
ACM Siggraph Posters, 2020.
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Enumerating the Morphology of Non-Degenerate Darboux Cyclides.
M. Zhao, X. Jia, C. Tu, B. Mourrain and W. Wang.
Computer Aided Geometric Design, Vol. 75, 2019. |
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µ-Bases for Rational Canal Surfaces.
S. Yao and X. Jia.
Computer Aided Geometric Design, Vol. 69, 11-26, 2019. |
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A Package to Compute Implicit Equations for the Rational Curves and Surfaces.
S. Yao, Y. Feng, X. Jia and L. Shen.
ACM Communications in Computer Algebra, Vol. 53(2), 33-36, 2019.
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Multi-Strip Smooth Developable Surfaces From Sparse Design Curves.
P. Bo, Y. Zheng, X. Jia and C. Zhang.
Computer Aided Design, Vol. 114, 1-12, 2019. |
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Automatic and High-Quality Surface Mesh Generation for CAD Models.
J. Guo, F. Ding, X. Jia and D.-M. Yan.
Computer Aided Design, Vol. 109, 49-59, 2019. |
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Survey on the Theory and Applications of µ-Bases for Rational Curves and Surfaces.
X. Jia, X. Shi and F. Chen.
Journal of Computational and Applied Mathematics, Vol. 329, 2-23, 2018.
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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 and C. Tu.
Journal
of Symbolic Computation, Vol. 73, 221-243, 2016.
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Efficient
Maximal Possion-Disk Sampling and Remeshing on Surfaces.
J. Guo, D.-M. Yan, X. Jia and X. Zhang.
Computers
& Graphics, Vol. 46, 72-79, 2015.
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Role
of Moving Planes and Moving Spheres Following Dupin Cyclides.
X. Jia.
Computer Aided Geometric Design,
Vol. 31, 168-181, 2014.
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Blue-Noise
Remeshing with Farthest Point Optimization.
D.-M. Yan, J. Guo, X. Jia, X. Zhang and P. Wonka.
Computer Graphics Forum, Vol. 33(5),
167-176, 2014 .
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Continuous
Collision Detection for Composite Quadric Models.
Y.-K. Choi, W. Wang, B. Mourrain,
C. Tu, X. Jia and F. Sun.
Graphical Models, Vol. 76(5),
566-579, 2014.
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Computing
Perspective Projections in 3-Dimensions Using Rotors In the Homogeneous
and Conformal Models of Clifford Algebra.
R. Goldman, Steve Mann and X. Jia.
Advances in Applied Clifford Algebras,
Vol. 24, 465-491, 2014.
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Using
a Bihomogeneous Resultant to Find the Singularities of Rational Space
Curves.
X. Shi, X. Jia, R. Goldman
and B. Hassett.
Journal
of Symbolic Computation, Vol. 53, 1-25, 2013.
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Topological
Classification of Non-Degenerate Intersections of Two Ring Tori.
X. Jia, C. Tu and W. Wang.
Computer Aided Geometric Design,
Vol. 30, 181-198, 2013.
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Using
Smith Normal Forms and µ-Bases to Compute All the Singularities of Rational Planar Curves.
X. Jia and R. Goldman.
Computer Aided Geometric Design, Vol. 29, 296-314, 2012.
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Representing
Perspective Projections as Rotors in the Homogeneous Model of the
Clifford Algebra for 3-Dimensional Euclidean Space.
X. Jia and R. Goldman.
Conference of Applied Geometric Algebras in Computer Science and Engineering 2012, France.
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An
Algebraic Approach to Continuous Collision Detection for Ellipsoids.
X. Jia, Y.-K. Choi, B. Mourrain and W.
Wang.
Computer Aided Geometric Design, Vol. 28, 164-176,
2011.
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Minimal
Generators for the Rees Algebra of Rational Space Curves of Type
(1,1,d-2).
W. Hoffman, H. Wang, X. Jia and
R. Goldman.
European Journal
of Pure and Applied Mathematics, Vol. 3(4), 602-632,
2010.
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Set-Theoretic
Generators of Rational Space Curves.
X. Jia, H. Wang and
R. Goldman.
Journal of Symbolic Computation, Vol. 49(4),
414-433, 2010.
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µ-Bases
and Singularities of Rational Planar Curves.
X. Jia and R. Goldman.
Computer Aided Geometric Design, 26(9), 970-988, 2009.
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Axial
Moving Planes and Singularities of Rational Space Curves.
H. Wang, X. Jia and R.
Goldman.
Computer Aided Geometric Design,
Vol.26(3), 300-316, 2009.
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Computing
Self-intersection Curves of Rational Ruled Surfaces.
X. Jia, F. Chen and J.
Deng.
Computer Aided Geometric Design,
Vol. 26(3), 287-299, 2009.
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Book
- W.
Hoffman, X. Jia, H. Wang. Commutative Algebra: An Introduction.
Mercury
Learning & Information, Dulles, Virginia, Boston, Massachusetts, New Delhi. (ISBN: 978-1-944534-60-8)
W.
Hoffman, X. Jia, H. Wang. Essentials of Commutative Algebra.
Overseas Press India Private Limited, 2016. (ISBN(13): 978-93-83803-21-7)
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