6- Use a uniform quadratic B-spline curve with four control points to describe an ellipse whose m...
(C) (a) Compare the splines created by B-spline and Bezier spline techniques for the of control. points is given by Po (4,4,4). P = (6,8,6) and P2 (10,3,4). Compute Bazier curve withwintermediate points. same control points. A set (C) (a) Compare the splines created by B-spline and Bezier spline techniques for the of control. points is given by Po (4,4,4). P = (6,8,6) and P2 (10,3,4). Compute Bazier curve withwintermediate points. same control points. A set
Animation: Investigating the effect of h k a and b on the graph of an ellipse Go past the animation and review examples 1, 2 and 3. 1) Use the animation mentioned earlier on page 910 to create two graphs of two ellipses using the instructions below. (3 pts each). a. Create an ellipse so that the major axis is horizontal and the center is not the origin. State the center and vertices (as points) along with the distance to...
Question 4 (4 marks) (a) State TWO advantages of using B-spline curve (b) Given a set of data points Po- (0,0,0), P(2,-1,-1), P-(1,2.2) on the curve Q. A B-spline curve calculated by: P(,)-Σ N,,0)I, where N,,0-11 fort, sl < 0 otherwise" 1) Nikiのwith 3 control points and knot vector defined 1-1.) N'서の+ N,,(t)- Itt by [0 0 0 1 1 刂is used to represent the curve. (2 marks) What type of B-spline curve is this? (i) (2 marks) (i) What...
8. (16 points) Suppose you use a quadratic curve y = ax? +b to fit the three (x,y) points (1,3), (0,-1), (-1,1). Use matrix method as described in class to find the least squares estimate of the constants a and b in the above equation. In particular, formulate the relevant normal equation, whose solution leads to the least squares estimates of a and b, and hence obtain the least squares estimate of a and b.
-Ja A Figure 2: A model of a tennis racket 5. A tennis racket is modeled as a uniform lamina of an areal density ρ [kg m-2] that has a shape of an ellipse with the semi-major axis a and semi-minor axis b and a mass m 4Tbp with attached to it uniform rod of length 2a and mass m. The origin of the Cartesian system of coordinates Oryz is placed at the centre of the ellipse as shown in...
3D Cubic B-Spline Interpolation and Error Estimation Theme: Implement and study 3D Cubic Spline Interpolation Input: a set of points in 3D space (data(x,y,z)) Output: Spline, Spline data points and error, 3D graph that shows the original points and the Spline The major steps involved in the B-Spline Fitting and Error Estimation are as mentioned below: 1- Sample the data points from input data. 2- Interpolate to find the position of control points. 3- Use the B-Spline basis function to...
please there are some specific instructions on the question so i would greatly appreciate if they are followed . thank you very much for your time This lab covers: arrays functions input exception handling Question 1 The purpose of this question is to write a python program (script) that manipulates arrays using vector arithmetic. You will compute the values of points The ellipse has a major axis whose length is a and a minor axis whose length is b. For...
Find out polar form of the last control point of third Bezier curve of a hodograph of a degree 4 B-spline with knot vector [1 2 3 4 5 6 7 8 9 10 11 12].
(a). What is a Forming Limit Diagram (FLD)? (b). Describe how to construct a Forming Limit Diagram (FLD) (c). For the FLD diagrams shown below (Figure 3): (i) material A = minor axis of -20 and major axis of 40, (ii) material B = minor axis of 10 and major axis of 70, Indicate the position of materials A and B on the diagram, and describe which material has better formability. Justify your answer! Question 6 (sheet metal forming) (a)....
Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle (a) Use two rectangles. (b) Use four rectangles. (c) Use a graphing calculator (or other technology) and 40 rectangles. f(x)-2-x-1,1 (a) The approximated area when using two rectangles is square units (Type an integer or decimal rounded to two decimal places as needed.) (b) The approximated area when...