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Task09: Rotation and Energy Minimization

preview

Deadline: June 29st (Thu) at 15:00pm

Before Doing Assignment

If you have not done the task00, do it first to set up the C++ graphics development environment.

Follow this document to submit the assignment, In a nutshell, before doing the assignment,

  • install eigen library following this document
  • make sure you synchronized the main branch of your local repository to that of remote repository.
  • make sure you created branch task09 from main branch.
  • make sure you are currently in the task09 branch (use git branch -a command).

Now you are ready to go!

Problem 1

Run the code. Take a screenshot image. Save the screenshot image overwriting task09/problem1.png

problem1

Problem 2

This code means to hang bunny's mesh by fixing the position of one vertex under gravity.

The hanged bunny can be simulated by energy minimization w.r.t. the rigid translation and rotation. The energy is the sum of the gravitational potential energy and the penalty energy to fix one vertex.

We minimize the energy using gradient descent method. Write a few lines of code around line #74 to compute gradient of energy w.r.t translation and rotation. Write one line of code for translation and rotation respectively.

Save the screenshot image overwriting task09/problem2.png

problem2

Run the program for a while to let the minimization converge. Write down the converged energy shown in standard output below.

energy: == ?????

After Doing the Assignment

After modifying the code, push the code and submit a pull request.

Notes

  • Do not submit multiple pull requests. Only the first pull request is graded
  • Do not close the pull request by yourself. The instructor will close the pull request
  • If you mistakenly merge the pull request, it's OK, but be careful not to merge next time.