01-31-2011, 05:24 AM
Applications Of Line Integral:
1. The use of line integrals makes the proposed approach inherently robust to noise. Furthermore, the accuracy of curvature estimation is significantly improved by using wild bootstrapping to adaptively adjusting the data window for line integral. Compared to existing approaches, this new method promises enhanced performance, in terms of robustness and accuracy, as well as low computation cost. A number of numerical examples using synthetic noisy and noiseless data clearly demonstrated the advantage
2. Curvature estimation algorithm, we evaluate line integrals over a window whose size is adaptively determined using the wild bootstrap procedure. The performance advantage of this proposed adaptive window curvature estimation algorithm has been examined analytically, and has been validated using several numerical experiments.
BY JAVED IQBAL
Line integral plays an important role in the calculus part and it is the key topic for the calculus. Most of the line integrals are in circles and also used by 2D and 3D functions. The line integrals are used in two fields, like scalar field and vector field.
Line integral is the line of vector field on a curve C is given by
We combine two separates things in the line integral.
Applications of the line integral:
Work,
The term work refer to the energy expanded when a force is applied to an object to move it along a path.
Flow integral and circulation:
Suppose F represent the velocity field of a fluid flowing through a region in space.
circulation is the amount of force that pushes along a closed path.It is the total push you get when you going along a path.
1. The use of line integrals makes the proposed approach inherently robust to noise. Furthermore, the accuracy of curvature estimation is significantly improved by using wild bootstrapping to adaptively adjusting the data window for line integral. Compared to existing approaches, this new method promises enhanced performance, in terms of robustness and accuracy, as well as low computation cost. A number of numerical examples using synthetic noisy and noiseless data clearly demonstrated the advantage
2. Curvature estimation algorithm, we evaluate line integrals over a window whose size is adaptively determined using the wild bootstrap procedure. The performance advantage of this proposed adaptive window curvature estimation algorithm has been examined analytically, and has been validated using several numerical experiments.
BY JAVED IQBAL
Line integral plays an important role in the calculus part and it is the key topic for the calculus. Most of the line integrals are in circles and also used by 2D and 3D functions. The line integrals are used in two fields, like scalar field and vector field.
Line integral is the line of vector field on a curve C is given by
We combine two separates things in the line integral.
Applications of the line integral:
Work,
The term work refer to the energy expanded when a force is applied to an object to move it along a path.
Flow integral and circulation:
Suppose F represent the velocity field of a fluid flowing through a region in space.
circulation is the amount of force that pushes along a closed path.It is the total push you get when you going along a path.