CS 284: CAGD
Lecture #23 -- Thu 11/08, 2012.

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Preparation: Study: Isosurface Stuffing: Fast Tetrahedral Meshes with Good Dihedral Angles

Warm-Up: On the provided handout,

do a 2D adaptively graded isosurface stuffing within the outline of the Stanford Bunny.

Use the outlined hierarchical grid to emulate the described 3D technique as best possible.

Paper Presentation:

Michael leads the discussion on: Isosurface Stuffing: Fast Tetrahedral Meshes with Good Dihedral Angles

1.) Two sets of bounds on the angles of the tetrahedra are given in the abstract. What determines which set of bounds applies?

2.) Why is the angle guarantee different for the outside and the inside of a specified shape (page 2, line 11)?

3.) If we try to do a similar isosurface stuffing with only hexahedra (deformed cubes), what are the difficulties?

4.) How should one deal with boundary tetrahedra that have all four vertices on the isosurface?

Assignments for Tue. Nov. 13, 2012:

Study: EV'10: Exploded view diagrams of complex mathematical surfaces

and then answer the following three questions, sending me e-mail before 5pm on Monday, Nov. 12, 2012.

1.) How does the described system choose an explosion axis?

2.) How are the locations and orientations for the cutting planes determined?

3.) How does the system deal with surfaces that self-intersect, e.g. a Klein bottle?