Results 261 to 270 of about 1,219,804 (296)
A Comprehensive Characterization of the Set of Polynomial Curves With Rational Rotation-Minimizing Frames [PDF]
Advances in Computational Mathematics, 2017 A rotation–minimizing frame (f1,f2,f3) on a space curve r(ξ) defines an orthonormal basis for ℝ3 in which f1= r′/ | r′| is the curve tangent, and the normal–plane vectors f2, f3 exhibit no instantaneous rotation about f1.
Caterina Stoppato +2 more
exaly +2 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Animating Rotation With Quaternion Curves
Computer Graphics, 1985Solid bodies roll and tumble through space. In computer animation, so do cameras. The rotations of these objects are best described using a four coordinate system, quaternions, as is shown in this paper. Of all quaternions, those on the unit sphere are most suitable for animation, but the question of how to construct curves on spheres has not been much
exaly +4 more sources
Construction of Rational Curves With Rational Rotation-Minimizing Frames via Möbius Transformations [PDF]
Lecture Notes in Computer Science, 2010 We show that Möbius transformations preserve the rotation-minimizing frames which are associated with space curves. In addition, these transformations are known to preserve the class of rational Pythagorean- hodograph curves and rational frames. Based on
Michael Barton +2 more
exaly +2 more sources
Journal of Mechanisms, 1967
This paper deals with the curves which in German literature are called "Polortkurven". The application of these curves to problems in the field of synthesis of mechanisms has been described by P. Lohse in several of his papers [1]. In this connection makes use of "Polortkuren" in the synthesis of four-bar linkages. In this connection he states a number
openaire +1 more source
This paper deals with the curves which in German literature are called "Polortkurven". The application of these curves to problems in the field of synthesis of mechanisms has been described by P. Lohse in several of his papers [1]. In this connection makes use of "Polortkuren" in the synthesis of four-bar linkages. In this connection he states a number
openaire +1 more source
Flow in a rotating curved circular pipe
Physical Review E, 2003The flow in a rotating curved pipe with circular cross section is investigated theoretically and numerically. A perturbation solution up to the second order is obtained. A numerical procedure is used to solve the full governing equations and the simplified governing equations in the small curvature limit.
Jinsuo, Zhang, Ning, Li, Benzhao, Zhang
openaire +2 more sources
On Darboux rotation axis of lightlike curves
International Journal of Geometric Methods in Modern Physics, 2016In this paper, by used Frenet trihedron for a lightlike curve, the motion of Darboux rotation axis is seperated to two simultaneous rotation motions. These rotation motions are that tangent and normal vectors of lightlike curve rotate around each other. But, the angular speeds of them are different. Then, by doing the similar operations, we obtain that
ÇÖKEN, ABDİLKADİR CEYLAN +2 more
openaire +7 more sources
Robust rotations between anatomical curves
Proceedings IEEE International Symposium on Biomedical Imaging, 2003We give a method for estimating the optimal rotation between anatomical curves corrupted by segmentation noise. We formulate the energy function probabilistically and use an annealing algorithm with explicit outlier rejection to stabilize our solution.
Brian B. Avants, James C. Gee
openaire +2 more sources