Results 241 to 250 of about 431,056 (283)
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2010
We start with some definitions. Definition 1.1. A (parametrized plane) curve is a continuous mapping m : I → ℝ2, where I = [a, b] is an interval. The curve m is closed if m(a) = m(b). A curve m is a Jordan curve if it is closed and m has no self-intersection: m(x) = m(y) only for x = y or {x, y} = {a, b}.
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We start with some definitions. Definition 1.1. A (parametrized plane) curve is a continuous mapping m : I → ℝ2, where I = [a, b] is an interval. The curve m is closed if m(a) = m(b). A curve m is a Jordan curve if it is closed and m has no self-intersection: m(x) = m(y) only for x = y or {x, y} = {a, b}.
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Improperly parametrized rational curves
Computer Aided Geometric Design, 1986Improperly parametrized curves, expressed in a parametric representation, are those which do not have a one-to-one correspondence between values of the parameter and points on the curve. The purpose of this paper is to present an algorithm for detecting whether a curve expressed parametrically in terms of rational functions is improperly parametrized ...
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On a Dyadic Parametrization of Curves
Computational Methods and Function Theory, 2004Let \(C\) be a curve in the complex plane where \(C = \{a(t): 0 \leq t \leq 1\},\) where \(a(0) \neq a(1)\). The authors discuss a dyadic paramerization for \(C\) first introduced by the first two authors [Michigan Math. J. 41, 269-284 (1994; Zbl 0815.30010)]. Let \(z(0) = a(0)\) and \(z(1) = a(1)\) and let \(C_{1,1}\) denote the directed segment from \
Anderson, J. Milne +2 more
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Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia, 2005
In this paper, we propose a method for creating parametric curves on triangular meshes. A curve on a mesh is frequently used as a boundary curve of a specific region of a mesh in mesh modeling and applications such as texture mapping, remeshing or morphing.
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In this paper, we propose a method for creating parametric curves on triangular meshes. A curve on a mesh is frequently used as a boundary curve of a specific region of a mesh in mesh modeling and applications such as texture mapping, remeshing or morphing.
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Parametrization of algebraic curves
1996Algebraic geometry is the study of geometric objects defined as the zeros of polynomial equations. So it is not surprising that many of the techniques in algebraic geometry become computationally feasible once we have algorithmic solutions for the relevant problems in commutative algebra, i.e., the algebra of polynomial rings.
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Parametrizations of algebroid curves
1980This chapter is devoted to the systematization of the concept of local parametrization of irreducible algebroid curves over an algebraically closed ground field of any characteristic. Although there are not essential differences with the case of characteristic zero, we have thought it useful to treat this case in detail.
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Understanding and Calibration of Charge Storage Mechanism in Cyclic Voltammetry Curves
Angewandte Chemie - International Edition, 2021Xiangjun Pu, Dong Zhao, Zhongxue Chen
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Survey, Analysis and Construction Of Parametric Curves Parametric Curves
2021openaire +1 more source
Can slow-moving ions explain hysteresis in the current–voltage curves of perovskite solar cells?
Energy and Environmental Science, 2016Giles Richardson +2 more
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