Fuhua (Frank) Cheng - Publication

Recent Publications:

• Parallel B-spline Surface Interpolation on a Mesh-Connected Processor
  Array (with G. Wasilkowski et al), J. Parallel & Distributed Computing,
  24 (1995), 224-229.
• Parallel Mesh Generation based on a New Label-Driven Subdivision
  Technique (with K.T. Miura), Proc. 5th IFIP Conference on Computer
  Applications in Production and Engineering (CAPE'95), May 16-18,
  1995, Beijing, China, 121-130.
• Hermite Spline Surface Interpolation with Tension Control and Optimal
  Twist Vectors (with X. Wang), 4th SIAM Geometric Design Conference,
  Nashville, Tannessee, November 3-6, 1995.
• New Computation Techniques for Shape Modeling and Design,
  proc. 1996 NSF Design and manufacturing Grantees Conference,
  January 2-5, 1996, Albuquerque, NM, 119-120.
• Parallel Mesh Generation based on a New Label-Driven Subdivision
  Technique (with K.T. Miura), International Journal of Japan Society for
  Precision Engineering, 30,4 (Dec. 1996), 353-358.
• Surface and Derivative Evaluation Methods for the Rendering of NURB
  Surfaces (with W.L. Luken), ACM Trans. on Graphics 15,2 (April 1996),
  153-178.
• Boundary Representation, Intersection, and Evaluation of NURB Based
  Non-Manifold Objects (with X. Wang, J. Sun and B.A. Barsky), Proc. 1996
  ASME Design for Manufacturing Conference (ASME DTC-96 DFMC),
  August 18-22, 1996, Irvine, CA.
• New Computation Techniques for Shape Modeling and Design II,
  Proc. 1997 NSF Design and manufacturing Grantees Conference,
  January 7-10, 1997, Seattle, WA., 11-12.
• Energy and B-Spline Interproximation (with X. Wang and B.A. Barsky),
  Computer Aided Design 29,7 (July 1997), 485-496.
• Surface Design based on Hermite Spline interpolation with Tension Control
  and Optimal Twist Vectors (with X. Wang), Neural, Parallel, and
  Scientific Computations 5,1/2 (Special Issue in Computer Aided
  Geometric Design), 1997, 37-57.
• Blending, Smoothing, and Interpolation using N-Sided Surfaces,
  proc. 1997 NSF Design and manufacturing Grantees Conference,
  January 7-10, 1997, Seattle, WA.
• Smooth Surface Interpolation of Irregular Meshes (with X. Wang),
  Proc. 1997 International Conference on Manufacturing Automation
  (ICMA '97), April 28-30, 1997, Hong Kong, 1213-1218.
• Choosing Knots in Shape preserving Interpolation (with C. Zhang),
  5th International Conference on CAD/Graphics, Shenzhen, China,
  December 15-20, 1997.
• New Computation Techniques for Shape Modeling and Design III,
  Proc. 1998 NSF Design and Manufacturing Grantees Conference,
  January 5-8, 1998, Monterrey, Mexico, 131-132.
• The GEO-WEB-CAD project I, Proc. 1998 NSF Design and Manufacturing
  Grantees Conference, January 5-8, 1998, Monterrey, Mexico, 727-728.
• A Method for Determining Knots in Parametric Curve Interpolation
  (with C. Zhang and K.T. Miura), Computer Aided Geometric Design
  15 (1998), 399-416.
• Removing Irregularities of NURBS Surfaces by Modifying Highlight Lines
  (with C. Zhang), Computer Aided Design 30,12 (Dec. 1998), 923-930.
• Collaborative CAD: A Conceptual Model (with Chris Crockett, Tim Lok,
  Chris Wells, H. Wu, Zheng Zhang, and Brian Barsky), Design Computing
  on the Net'98, November, 1998, Sydney, Australia.
• Surface Reconstruction from Point Clouds (with B. Toll), in Machining
  Impossible Shapes, Gustav J. Olling, Byoung K. Choi, and Robert B.
  Jerard, editors, Kluwer Academic Publishers, Boston, 1998, 173-178.
• The GEO-WEB-CAD project II, proc. 1999 NSF Design and manufacturing
  Grantees Conference, January 5-8, 1999, Los Angels, 23-25.
• Constrained Scaling of Trimmed NURBS Surfaces (with P. Zhang and
  C. Zhang), Proc. 1st Honda Initiation Grant Symposium, May 20-21,
  1999, Columbus, OH, pp. 40-47.
• Constructing Parametric Quadratic Curves (with C. Zhang),
  Journal of Computational & Applied Mathematics (Special Issue on
  Computational Methods in Computer Graphics) 102,1 (1999), 21-36.
• Constrained Shape Scaling of Trimmed NURBS Surfaces (with P. Zhang and
  C. Zhang), Proc. 1999 ASME Design Theory and Methodology Conference
  (ASME DTM-99), September 12-15, 1999, Las Vegas, NV.
• Collaborative CAD on WEB (with Zheng Zhang and Brian Barsky),
  International Conferenc on Advanced Manufacturing Technology,
  June 16-18, 1999, Xi'an, P.R. China, 298-302.
  
• Constrained Interpolation Using Rational Cubic Spline Curves with
  Linear Denominators (with Q. Duan, G. Xu, A. Liu, and X. Wang),
  Korean J. Computational & Applied Mathematics 6,1 (January 1999),
  203-215.
• Blending, Smoothing, and Interpolation of Irregular Mesh Using N-Sided
  Varady Surfaces (with X. Wang and B.A. Barsky), Proc. SOLID MODELING
  '99, June 9-11, 1999, Ann Arbor, Michigan, 212-222.
• The GEO-WEB-CAD project III - Synchronization Mechanism in WebCAD
  (wity R. Xing), Proc. 2000 NSF Design and manufacturing Grantees
  Conference, January 5-8, 2000, Vancour, Canada, 23-25.
• Constrained C1 Piecewise Bicubic Bezier Surface Interpolation (with C. Zhang
  and B. Barsky), Proc. of the Geometric Modeling & Processing Conference,
  April 10-12, 2000, Hong Kong, 162-174.
• Patch Reduction in Surface Reconstruction (with K.T. Miura, L. Wang,
  M. Ueda, M. Osano), 3D Forum 14,4 (2000), 111-116.
• Constrained Shape Scaling of Multi-Surface Objects (with P. Zhang and
  C. Zhang), Proc. of the Geometric Modeling & Processing Conference,
  April 10-12, 2000, Hong Kong, 398-407.
• Constrained Design, Streamline Modeling, Automatic Fairing and Automatic
  Joining Techniques for NURB Surfaces I, Proc. 2001 NSF Design, Service and
  manufacturing Grantees and Research Conference, January 7-10, 2001, Tampa,
  Florida, 43-45.
• Fairing Spline Curves/Surfaces by Minimizing Strain Energy (with C. Zhang
  and P. Zhang), Computer-Aided Design 33,13 (Novermber 2001), 913-923.
• Quadratic B-spline Curve Interpolation (with X. Wang and B.A. Barsky),
  Computers & Mathematics with Applications 41 (2001), 39-50.
• Smooth Connection of Trimmed NURBS Surfaces (with Pifu Zhang),
  Solid Modeling '01 (6th ACM Symposium on Solid Modeling and
  Applications), June 4-8, 2001, Ann Arbor, Michigan.
• Linear Combination of Tangent Vectors and Its Applications on Subdivision
  Curves and Surfaces on Unit Sphere (with K.T. Miura, L. Wang, M. Ueda,
  M. Osano), 3D Forum 15,1 (2001), 104-109.
• On the Rates of Approximaiton of Bernstein Type Operators (with X.M. Zeng),
  Journal of Approximation Theory 109 (2001), 242-256.
• Constrained Rational Cubic Spline and its Application (with Q. Duan),
  J. of computational Mathematics, 19(2) (2001), 143-150.
• Conversion from Doo-Sabin Subdivision Surfaces to Catmull-Clark
  Subdivision Surfaces (with K.T. Miura, J. Sone, M. Ueda, M. Osano),
  3D Forum 15,4 (2001), 113-118.
• Interactive Curve Deformation by Scaling Derivative (with K.T. Miura,
  J. Sone, M. Ueda, M. Osano), 3D Forum 15,4 (2001), 107-112.
• Fine Tuning: Curve and Surface Deformation Techniques by Scaling
  Derivatives (with K.T. Miura et al), Pacific Graphics 2001,
  Tokyo, Oct. 16-18, 2001, 150-159.
• Streamline Modeling with Subdivision Surfaces on the Gaussian Sphere
  (with Kenji Miura), Computer-Aided Design 33,13 (November 2001),
  975-987.
• Constrained Shape Scaling of Trimmed NURBS Surfaces using Fix-and-Stretch
  Approach (with P. Zhang and C. Zhang), Computer-Aided Design 33,1
  (January 2001), 103-112.
• Curve and Surface Deformation by Scaling Derivatives (with Junhai Yong and
  K.T. Miura), SIAM Conference on Geometric Design and Computing,
  November 5-8, 2001, Sacramento, California.
• Dynamic Highlight Line Generation for Locally Deforming NURBS Surfaces
  (with Junhai Yong and K.T. Miura), SIAM Conference on Geometric Design
  and Computing, November 5-8, 2001, Sacramento, California.
• Triangular Patch Modeling using Combination Method (with Caiming Zhang),
  SIAM Conference on Geometric Design and Computing, November 5-8,
  2001, Sacramento, California.
• Shadow Generation Based on RE Loops and Their Angular Representations (with
  Khageshwar Thakur and K.T. Miura), SIAM Conference on Geometric Design and
  Computing, November 5-8, 2001, Sacramento, California.
• Smooth Connection of Trimmed NURBS Surfaces (with Pifu Zhang),
  SIAM Conference on Geometric Design and Computing, November 5-8, 2001,
  Sacramento, California.
• Constrained Design, Streamline Modeling, Automatic Fairing and Automatic
  Joining Techniques for NURB Surfaces II, Proc. 2002 NSF Design, Service and
  manufacturing Grantees and Research Conference, January 7-10, 2002,
  Puerto Rico, 93-95.
• Triangular Patch Modeling Using Combination method (with C. Zhang),
  Computer Aided Geometric Design 19,8 (2002), 645-662.
• Constrained Design, Streamline Modeling, Automatic Fairing and Automatic
  Joining Techniques for NURB Surfaces III, Proc. 2003 NSF Design, Service
  and manufacturing Grantees and Research Conference, January 6-9, 2003,
  Birmingham, Alabama, 75-77.
• Dynamic Highlight Line Generation for Locally Deforming NURBS
  Surfaces (with J. Yong, Y. Chen, P. Stewart, K. Miura),
  Computer Aided Design 35,10 (2003), 881-892.
• Shadow Generation Using Discretized Shadow Volume in Angular Coordinate,
  (with K. Thakur and K. Miura), Proc. Pacific Graphics 2003
  (Oct. 8-10, 2003, Canmore, Alberta, Canada), 224-233.
• Constrained Design, Streamline Modeling, Automatic Fairing and Automatic
  Joining Techniques for NURB Surfaces IV, Proc. 2004 NSF Design, Service
  and manufacturing Grantees and Research Conference, January 3-8, 2004,
  Dallas, Texas, 13-15.
• Choosing Knots in Shape Preserving Interpolation (with C. Zhang),
  Proc. Geometric Modeling and Processing 2004, Beijing, China,
  April 13-15, 2004, 31-37.
• Smooth Trimmed NURBS Surface Connection with Tension Control
  (with Pifu Zhang), Proc. Geometric Modeling and Processing 2004,
  Beijing, China, April 13-15, 2004, 56-65.
• Geometric Hermite Curves with Minimum Strain Energy (with J. Yong),
  Computer Aided Geometric Design 21,3 (2004), 281-301.
• Shape-Preserving Parametric Curve Interpolation with Bounding
  Polygon Constraint (with C. Zhang), Geometric Design and Computing,
  ed. M. Lucian and M. Neamtu, Nashboro, Brentwood, TN (2004), 559-574.
• Constrained Scaling of Catmull-Clark Subdivision Surfaces
  (with S. Lai and S. Zou), Computer-Aided Design & Applications
  1,1-4 (2004), 7-16.
• Adaptive Subdivision of Catmull-Clark Subdivision Surfaces
  (with J. Yong), Computer-Aided Design & Applications
  2,1-4 (2005), 253-261.
• Sharp Estimates on Approximation of Exponential Type Operators
  (with X. Zeng), Int. J. Appl. Math. Sci. 2,1 (2005), 23-30.
• Gamma Distribution and Gamma Approximation (with X. Zeng),
  Journal of Information and Computational Science 2,2 (2005), 385-394.
• Texture Mapping on Surfaces of Arbitrary Topology using Norm
  Preserving Based Optimization (with S. Lai),
  The Visual Computer 21,8-10 (2005), 783-790.
• Adaptive Rendering of Catmull-Clark Subdivision Surfaces (with S. Lai),
  Proc. 9th Int. Conf. on Computer Aided Design and Computer Graphics
  (CAD/CG 2005), Dec 7-10, 2005, Hong Kong, 125-130.
• Parametrization of General Catmull-Clark Subdivision Surfaces and Its Applications
  (with S. Lai), Computer Aided Design & Applications, 3, 1-4 (2006), 513-522.
• Subdivision Depth Computation for Catmull-Clark Subdivision Surfaces
  (with Junhai Yong), Computer Aided Design & Applications,
  3, 1-4 (2006), 485-494. (complete version) (CAD&A version)
• Subdivision Depth Computation for Extra-Ordinary Catmull-Clark Subdivision
  Surface Patches (with Gang Chen and Junhai Yong), Advances in Computer
  Graphics (CGI2006), Lecture Notes in Computer Science Vol. 4035,
  Springer, 2006, 404-416.
  (complete version) (CGI2006 version) (CGI2006 final version (LNCS format))
  
• Matrix based Subdivision Depth Computation Method for Extra-Ordinary
  Catmull-Clark Subdivision Surface Patches (with Gang Chen), GMP2006,
  Lecture Notes in Computer Science, Vol. 4077, Springer, 2006, pp. 545-552.
  (complete version) (GMP2006 version) (GMP2006 final version)
  
• Inscribed Approximation based Adaptive Rendering of Catmull-Clark Subdivision
  Surfaces (with S. Lai), International Journal of CAD/CAM 6,1 (2006), 1-16.
• Determining Knots by Minimizing Energy (with C.M. Zhang and H. J. Han),
  J. Comput. Sci. & Technol. 21,2 (March 2006), 261-264.
• Near-Optimum Adaptive Tessellation of General Catmull-Clark Subdivision
  Surfaces (with S. Lai), Advances in Computer Graphics (CGI2006),
  Lecture Notes in Computer Science Vol. 4035, Springer, 2006, 562-569.
  (complete version) (CGI2006 version)
  
• Voxelization of Free-Form Solids using Catmull-Clark Subdivision Surfaces
  (with Shuhua Lai), GMP2006. Lecture Notes in Computer Science,
  Vol. 4077, Springer, 2006, pp. 595-601. (complete version)
• NSF 2006 Grantees' Conference Paper
• NSF 2006 Grantees' Conference Nugget
• Similarity based Interpolation using Catmull-Clark Subdivision Surfaces
  (complete version) (with S. Lai), The Visual Computer 22,9-11 (October 2006),
  865-873.
• Robust and Error Controllable Boolean Operations on Free-form Solids
  Represented by Catmull-Clark Subdivision Surfaces (with S. Lai),
  Computer Aided Design & Applications, 4, 1-4 (2007).
• Video Shot Boundary Detection using Frame-Skipping Technique
  (with Y. Gao and J-H. Yong), in preparation.
• 3D Extension of Aesthetic Plane Curve and Its B-Spline Approximation
  (with K. Miura at el), accepted for presentation at CAD07, Honolulu,
  Hawaii, June 24-29, 2007.
• Shadow Generation for Scenes Represented by Catmull-Clark Subdivision Surfaces
  (with S. Lai), Proceedings of Computer Graphics International 2007, 123-131.
• Parametrization of Quadrilateral Meshes (with L. Liu and C. Zhang),
  Lecture Notes in Computer Science, Vol. 4488 (2007), Springer, 17-24.
• Locally Adjustable Interpolation for Meshes of Arbitrary Topology
  (with S. Lai and F. Fan), 3rd International Symposium on Visual Computing - ISVC2007,
  Lecture Notes in Computer Science, Vol. 4841, Springer, 2007, pp. 88-97.
• First order absolute moment of Meyer-K\"{o}nig and Zeller operators
  and their approximation for some absolutely continuous functions
  (with Xiaoming Zeng), in preparation.
• Curvature Estimation for Triangular Meshes based on Local Parametrization
  (with Conglin Huang, etc), to appear in Computer Aided Design & Applications,
  5,1-4 (2008).
• Constructing Parametric Triangular Patches with Boundary Conditions
  (with H. Liu and J. Ma), Progress in Natural Science, 18,3 (March 2008), 315-322.
• Shape Reconstruction using Doo-Sabin Subdivision Surfaces
  (with Fengtao Fan, etc), accepted for publication by GMAI2008.
• Input of Log-Aesthetic Curve Segments with Inflection End Points (with Kenji Miura, etc),
  Computer Aided Design & Applications, 5,1-4 (2008), 77-85.
• Removing local irregularities of triangular meshes with highlight line models
  (with J.H. Yong, B.L. Deng, B. Wang, K. Wu and H. Gu), to appear in Science in China,
  Series F, Chinese Academy of Sciences.
• Subdivision based Interpolation with Shape Control (with Fengtao Fan and Shuhua Lai),
  to appear in Computer Aided Design & Applications, 5,1-4 (2008).
• Mesh Simplification by Volume Variation with Feature Preserving (with Yuanfeng Zhou
  and Caiming Zhang), in preparation.