By Bernard Mourrain, Scott Schaefer, Guoliang Xu
This booklet constitutes the refereed lawsuits of the sixth foreign convention on Geometric Modeling and Processing, GMP 2010, held in Castro Urdiales, Spain, in June 2010. The 20 revised complete papers offered have been conscientiously reviewed and chosen from a complete of 30 submissions. The papers hide a large spectrum within the region of geometric modeling and processing and tackle issues similar to options of transcendental equations; quantity parameterization; tender curves and surfaces; isogeometric research; implicit surfaces; and computational geometry.
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Additional info for Advances in Geometric Modeling and Processing: 6th International Conference, GMP 2010, Castro Urdiales, Spain, June 16-18, 2010, Proceedings
244–253. : Hermite interpolation by hypocycloids and epicycloids with 20. S´ rational offsets. Comput. Aided Geom. edu Washington University in St. edu Abstract. The ability to model objects composed of multiple materials has become increasingly more demanded in scientiﬁc applications. The visualization of a discrete multi-material volume often suﬀers from voxelization of the boundary between materials. We propose a contouring method that can be eﬃciently implemented on the GPU to reduce the artifacts and jaggedness along the material boundaries.
29–42, 2010. c Springer-Verlag Berlin Heidelberg 2010 30 ˇ ˇ ır E. Cernohorsk´ a and Z. S´ support function and then fully describe all possible data which can be interpolated and give the number of solutions. We thus solve the interpolation problem in a top-down way and extend results of . The remainder of this paper is organized as follows. In Section 2 we recall some basic facts about PH curves and support function. In Section 3 we determine the support function and suitable parameterization of the Tschirnhausen cubic.
An algebraic approach to curves and surfaces on the sphere and on other quadrics. Computer Aided Geometric Design 10, 211–229 (1993) 5. : Curves and Surfaces for CAGD. Morgan Kaufmann, San Francisco (2002) 6. : Rational quadratic circles are parametrized by chord length. Computer Aided Geometric Design 23, 722–724 (2006) 7. : Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable. Springer, Berlin (2008) 8. : Bipolar and multipolar coordinates. , Martin, R. ) The Mathematics of Surfaces IX, pp.