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Publications, subproject 02BiBTeX



    Journal Articles

  1. H. Yang, B. Jüttler, and L. Gonzalez-Vega. An evolution-based approach for approximate parameterization of implicitly defined curves by polynomial parametric spline curves. Mathematics in Computer Science (to appear).
  2. O. Aichholzer, F. Aurenhammer, T. Hackl, B. Jüttler, M. Rabl, and Z. Šír. Structural and computational advantages of circular boundary representation. Int. J. Comp. Geom. Appl. (2009), to appear.
  3. O. Aichholzer, F. Aurenhammer, T. Hackl, B. Jüttler, M. Rabl, and Z. Šír. Structural and computational advantages of non-linear boundary representation. Int. J. Comp. Geom. (2009), to appear.
  4. M. Aigner, L. Gonzalez-Vega, B. Jüttler, and J. Schicho. Parameterizing surfaces with certain special support functions, including offsets of quadrics and rationally supported surfaces. J. Symb. Comp. 44 (2009), 180-191.
  5. O. Aichholzer, W. Aigner, F. Aurenhammer, T. Hackl, B. Jüttler, and M. Rabl. Medial axis computation for planar free-form shapes. Computer-Aided Design 41 (2009), 339-349.
  6. X. Song, M. Aigner, F. Chen, and B. Jüttler. Circular spline fitting using an evolution process. Journal of Computational and Applied Mathematics 231 (2009), 423-433.
  7. X. Song and B. Jüttler. Modeling and 3D object reconstruction by implicitly defined surfaces with sharp features. Computers & Graphics 33 (2009), 321-330, Special Section on SMI 2009.
  8. M. Fuchs, B. Jüttler, O. Scherzer, and H. Yang. Shape metrics based on elastic deformations. Journal of Mathematical Imaging and Vision 35 (2009), 86-102.
  9. M. Aigner and B. Jüttler. Robust fitting of implicitly defined surfaces using Gauss-Newton-type techniques. The Visual Computer 25 (2009), 731-741.
  10. M. Aigner and B. Jüttler. Distance regression by Gauss-Newton-type methods and iteratively re-weighted least-squares. Computing 86 (2009), 73-87.
  11. M. Fuchs, B. Jüttler, O. Scherzer, and H. Yang. Combined evolution of level sets and B-spline curves for imaging. Computing and Visualization in Science 12 (2009), 287-295.
  12. M. Dörfel, B. Jüttler, and B. Simeon. Adaptive isogeometric analysis by local h-refinement with T-splines. Computer Methods in Applied Mechanics and Engineering 199 (2010), 264-175.
  13. M. Fuchs and O. Scherzer. Regularized reconstruction of shapes with statistical a priori knowledge. International Journal of Computer Vision 79/2 (2008), 119-135.
  14. H. Yang and B. Jüttler. Evolution of T-spline level sets for meshing non-uniformly sampled and incomplete data. The Visual Computer (2008), 435-448.
  15. G. D. Vecchia, B. Jüttler, and M.-S. Kim. A construction of rational manifold surfaces of arbitrary topology and smoothness from triangular meshes. Computer Aided Geometric Design (2008), 801-815.
  16. M. Aigner and B. Jüttler. Hybrid curve fitting. Computing 79 (2007), 237-247.
  17. M. Aigner, Z. Šír, and B. Jüttler. Evolution based least-squares fitting using Pythagorean hodograph spline curves. Comp. Aided Geom. Design 24 (2007), 310-322.
  18. R. Feichtinger, M. Fuchs, B. Jüttler, O. Scherzer, and H. Yang. Dual evolution of planar parametric spline curves and T-spline level sets. Computer-Aided Design 40/1 (2008), 13 - 24.
  19. M. Shalaby, B. Jüttler, and J. Schicho. Approximate implicitization of planar curves by piecewise rational approximation of the distance function. Appl. Algebra Eng. Comm. Comp. 18 (2007), 71-89.
  20. W. Wang, B. Jüttler, D. Zheng, and Y. Liu. Computation of rotation minimizing frames. ACM Trans. on Graphics 27.1 (2008), article no. 2.
  21. H. Yang and B. Jüttler. 3D shape metamorphosis based on T-spline level sets. The Visual Computer 23 (2007), 1015-1025.
  22. B. Jüttler, M. Oberneder, and A. Sinwel. On the existence of biharmonic tensor-product Bézier surface patches. Comp. Aided Geom. Design 23 (2006), 612-615.
  23. C. Pechstein and B. Jüttler. Monotonicity-preserving interproximation of b-h curves. J. Comp. Appl. Math. 196 (2006), 45-57.
  24. M. Sampoli, M. Peternell, and B. Jüttler. Rational surfaces with linear normals and their convolutions with rational surfaces. Comp. Aided Geom. Design 23 (2006), 179-192.
  25. Z. Šír, B. Jüttler, and R. Feichtinger. Approximating curves and their offsets using biarcs and pythagorean hodograph quintics. Comp.-Aided Design 38 (2006), 608-618.
  26. D.-E. Hyun, S.-H. Yoon, J.-W. Chang, J.-K. Seong, M.-S. Kim, and B. Jüttler. Sweep-based human deformation. The Visual Computer 21 (2005), 542-550.

    Refereed articles in books and conference proceedings

  27. M. Barton, B. Jüttler, and W. Wang. Construction of rational curves with rational rotation minimizing frames via Möbius transformations. In Mathematical Methods for Curves and Surfaces, volume 5862 of Lecture Notes in Computer Science, pages 15-25. Springer, 2010. to appear.
  28. O. Aichholzer, W. Aigner, F. Aurenhammer, K. Čech Dobiášová, and B. Jüttler. Arc triangulations. In Proc. European Workshop on Comp. Geometry, 2010. to appear.
  29. S. Béla and B. Jüttler. Fat arcs for implicitly defined curves. In Mathematical Methods for Curves and Surfaces, volume 5862 of Lecture Notes in Computer Science, pages 26-40. Springer, 2010. to appear.
  30. M. Aigner, C. Heinrich, B. Jüttler, E. Pilgerstorfer, B. Simeon, and A.-V. Vuong. Swept volume parameterization for isogeometric analysis. In E. Hancock and R. Martin, editors, The Mathematics of Surfaces XIII, volume 5654 of Lecture Notes in Computer Science, pages 19-44. Springer, 2009.
  31. G. D. Vecchia and B. Jüttler. Piecewise rational manifold surfaces with sharp features. In E. Hancock and R. Martin, editors, The Mathematics of Surfaces XIII, volume 5654 of Lecture Notes in Computer Science, pages 90-105. Springer, 2009.
  32. O. Aichholzer, W. Aigner, F. Aurenhammer, T. Hackl, B. Jüttler, M. Rabl, and E. Pilgerstorfer. Divide-and-conquer for Voronoi diagrams revisited (extended abstract). In Euro CG: European Workshop on Computational Geometry, pages 293-296, 2009. 2009.eurocg.org/abstracts.pdf.
  33. O. Aichholzer, W. Aigner, F. Aurenhammer, T. Hackl, B. Jüttler, E. Pilgerstorfer, and M. Rabl. Divide-and-conquer algorithms for Voronoi diagrams revisited. In Proc. ACM Symp. Comp. Geom., pages 189-197, 2009.
  34. M. Aigner, L. Gonzalez-Vega, M. L. Sampoli, and B. Jüttler. Computing isophotes on free-form surfaces based on support function approximation. In E. Hancock and R. Martin, editors, The Mathematics of Surfaces XIII, volume 5654 of Lecture Notes in Computer Science, pages 1-18. Springer, 2009.
  35. M. Rabl, L. Gonzalez-Vega, B. Jüttler, and H.-P. Schröcker. Oriented bounding surfaces with at most six common normals. In Proc. Int. Conf. on Robotics and Automation, pages 465-470. IEEE, 2009.
  36. H.-P. Schröcker and B. Jüttler. Motion interpolation with Bennett biarcs. In A. Kecskemethy and A. Müller, editors, Proc. Computational Kinematics, pages 141-148. Springer, 2009.
  37. M. Rabl and B. Jüttler. Fast distance computation using quadratically supported surfaces. In A. Kecskemethy and A. Müller, editors, Proc. Computational Kinematics, pages 141-148. Springer, 2009.
  38. M. L. Sampoli and B. Jüttler. Support function representation for curvature dependent surface sampling. In E. de Bernardis, R. Spigler, and V. Valente, editors, Applied and Industrial Mathematics in Italy III, pages 520-531. World Scientific, 2010.
  39. R. Feichtinger, B. Jüttler, and H. Yang. Particle-based T-spline level set evolution for 3D object reconstruction with range and volume constraints. In V. S. S. Cunningham, editor, Proc. WSCG 2008, pages 49-56. 2008.
  40. M. Aigner and B. Jüttler. Gauss-newton-type techniques for robustly fitting implicitly defined curves and surfaces to unorganized data points. In Proc. Shape Modelling and Applications 2008. IEEE Computer Society, 2008.
  41. M. Oberneder, B. Jüttler, and L. Gonzalez-Vega. Exact envelope computation for moving surfaces with quadratic support functions. In P. W. J. Lenarcic, editor, Advances in Robot Kinematics – Analysis and Design, pages 283-290. Springer, 2008.
  42. M. Aigner and B. Jüttler. Robust fitting of parametric curves. In PAMM - Proceedings in Applied Mathematics and Mechanics (electronic), volume 7.1, pages 1022201-1022202. 2008.
  43. H.-P. Schröcker, B. Jüttler, and M. Aigner. Evolving four-bars for optimal synthesis. In Proc. EUCOMES 2008. Springer, 2008.
  44. O. Aichholzer, F. Aurenhammer, T. Hackl, B. Jüttler, M. Oberneder, and Z. Šír. Computational and structural advantages of non-linear boundary representation. In F. Dehne, J.-R. Sack, and N. Zeh, editors, Algorithms and Data Structures, volume 4619 of Lecture Notes in Computer Science, pages 374-385. Springer, 2007.
  45. M. Aigner and B. Jüttler. Approximation flows in shape manifolds. In P. Chenin, T. Lyche, and L. Schumaker, editors, Curve and Surface Design: Avignon 2006, pages 1-10. Nashboro Press, 2007.
  46. S. Chau, M. Oberneder, A. Galligo, and B. Jüttler. Intersecting biquadratic surface patches. In R. Piene and B. Jüttler, editors, Algebraic Geometry and Geometric Modeling, pages 161-180. Springer, 2008.
  47. M. Shalaby and B. Jüttler. Approximate implicitization of space curves and of surfaces of revolution. In R. Piene and B. Jüttler, editors, Algebraic Geometry and Geometric Modeling, pages 215-228. Springer, 2008.
  48. H. Yang and B. Jüttler. Fitting implicitly defined curves to unorganized points with sharp features. In P. Chenin, T. Lyche, and L. Schumaker, editors, Curve and Surface Design: Avignon 2006, pages 274-283. Nashboro Press, 2007.
  49. H. Y. und B. Jüttler. Meshing non-uniformly sampled and incomplete data based on displaced T-spline level sets. In Proc. Shape Modeling and Applications, pages 251-260. IEEE Computer Society, 2007.
  50. M. Aigner, Z. Šír, and B. Jüttler. Least-squares approximation by Pythagorean hodograph spline curves via an evolution process. In K. Shimada and M.-S. Kim, editors, Geometric Modelling and Processing, volume 4077 of Lecture Notes in Computer Science, pages 44-58. Springer, 2006.
  51. M. Shalaby, J. Thomassen, E. Wurm, T. Dokken, and B. Jüttler. Piecewise approximate implicitization: Experiments using industrial data. In Algebraic Geometry and Geometric Modeling, pages 37-52. Springer, 2006.
  52. L. Shen, F. Chen, B. Jüttler, and J. Deng. Approximate mu-bases of rational curves and surfaces. In Geometric Modelling and Processing, pages 175-188. Springer, LNCS vol. 4077, 2006.
  53. H. Yang, M. Fuchs, B. Jüttler, and O. Scherzer. Evolution of T-spline level sets with distance field constraints for geometry reconstruction and image segmentation. In Shape Modeling International, pages 247-252. IEEE Press, 2006.
  54. B. Jüttler, P. Chalmoviansky, M. Shalaby, and E. Wurm. Approximate algebraic methods for curves and surfaces and their applications. In 21st Spring Conference on Computer Graphics, pages 11-16, Bratislava, 2005. Comenius University / ACM Press.

    Technical Reports

  55. B. Bastl, B. Jüttler, J. Kosinka, and M. Lávicka. Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets. Technical report, FSP 092: Joint Research Program of Industrial Geometry, FSP report no. 91, 2009.
  56. B. Bastl, B. Jüttler, M. Lávicka, J. Schicho, and Z. Šír. Spherical quadratic bézier triangles with chord lengths parameterization and tripolar coordinates in space. Technical report, FSP 092: Joint Research Program of Industrial Geometry, FSP report no. 90, 2090.
  57. M. Aigner, L. Gonzalez-Vega, B. Jüttler, and M. L. Sampoli. Computing isophotes on free-form surfaces based on approximate dual implicitization. Technical report, FSP 092: Joint Research Program of Industrial Geometry, FSP report no. 89, 2009.
  58. M. Aigner and B. Jüttler. Robust fitting of implicitly defined surfaces using gauss-newton-type techniques. Technical report, FSP 092: Joint Research Program of Industrial Geometry, FSP report no. 88, 2009.
  59. G. D. Vecchia and B. Jüttler. Piecewise rational manifold surfaces with sharp features. Technical report, FSP 092: Joint Research Program of Industrial Geometry, FSP report no. 87, 2009.
  60. X. Song and B. Jüttler. Modeling and 3d object reconstruction by implicitly defined surfaces with sharp features. Technical report, FSP 092: Joint Research Program of Industrial Geometry, FSP report no. 79, 2008.
  61. B. Jüttler and B. Moore. A quadratic clipping step with superquadratic convergence for bivariate polynomial systems. Technical report, FSP 092: Joint Research Program of Industrial Geometry, FSP report no. 78, 2008.
  62. M. Rabl, L. Gonzalez-Vega, B. Jüttler, and H.-P. Schröcker. Oriented bounding surfaces with at most six common normals. Technical report, FSP 092: Joint Research Program of Industrial Geometry, FSP report no. 77, 2008.
  63. X. Song, M. Aigner, F. Chen, and B. Jüttler. Circular spline fitting using an evolution process. Technical report, FSP 092: Joint Research Program of Industrial Geometry, FSP report no. 76, 2008.
  64. F. Aurenhammer and B. Jüettler. On computing the convex hull of (piecewise) spherical objects. Technical report, FSP 092: Joint Research Program of Industrial Geometry, FSP report no. 63, 2007.
  65. S. Colutto, F. Frühauf, M. Fuchs, and O. Scherzer. The CMA-ES on Riemannian manifolds to reconstruct shapes in 3D voxel images. Technical Report 70, FSP 092: Joint Research Program of Industrial Geometry, May 2008.
  66. M. Fuchs, B. Jüttler, O. Scherzer, and H. Yang. Shape metrics based on elastic deformations. Technical Report 71, FSP 092: Joint Research Program of Industrial Geometry, June 2008.
  67. M. Aigner and B. Jüttler. Distance regression by gauss-newton-type methods and iteratively re-weighted least-squares. Technical report, FSP report no. 54, 2007.
  68. M. Aigner, B. Jüttler, L. Gonzalez-Vega, and J. Schicho. Parameterization of diamond surfaces. Technical report, FSP report no. 60, 2007.
  69. R. Feichtinger, H. Yang, and B. Jüttler. Particle-based T-spline level set evolution with range and volume constraints. Technical report, FSP Report no. 59, 2007.
  70. M. Fuchs and O. Scherzer. Regularized reconstruction of shapes with statistical a priori knowledge. Technical report, FSP report no. 51, 2007.
  71. M. Fuchs and O. Scherzer. Segmentation of biologic image data with a-priori knowledge. Technical report, FSP report no. 52, 2007.
  72. H. Yang, B. Jüttler, and L. Gonzalez-Vega. An evolution-based approach for approximate parameterization of implicitly defined curves by polynomial parametric spline curves. Technical report, FSP report no. 28, 2006.



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