Project 2 Partner: Gary Macfadden

Part 1 Write a MATLAB code that uses adaptive quadrature to compute the arc length from t=0 to t=T Part 1 MATLAB , adapquad function , bezier parametric function , Part 1 output ,

Part 2 For a given fraction of the curve s, find what time is needed to plug into the parametrized path to get to the point on the plot that correconds with the fraction s using the bisection method. Part 2 MATLAB , Part 2 function call , Part 2 output ,

Part 3 Equipartition the path into n subpaths for n=4 and n=20. Part 3 MATLAB , n=4 plot , n=20 plot ,

Part 4 Replace the Bisection method with Newton's method, repeat steps 2 and 3. Part 4 function call , Source code for plotting , n=4 plot , n=20 plot Computation time is increased by this replacement. The necessary derivative for the newtons method is the parametrized function.

Solutions to part 5, 6, 7 as well as independant solutions to the first 4 parts can be found on Gary Macfadden's website. Part 5, Part 6, Part 7

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