Fronts Propagating with Curvature- Dependent Speed: Algorithms ...

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ALGORITHMS FOR SURFACE MOTION PROBLEMS a COLLAPSING SPHERE:T=O.O COLLAPSING SPHERE-T=O.B COLLAPSING SPHERE:T=I.6 COLLAPSING SPHERE:T=Z.S FIG. 13a. Sphere collapsing under mean curvature (Beginning): F(K)= -K, surface at T=Q.0, 0.5, 1.6, 2.6. b COLLAPSING SPHERE:T=S.S COLLAPSING SPHERf:T=4.6 COLLAPSING SPHERf:T=5.6 COLLAPSING SPHERE:T=6.6 I / FIG. 13b. Sphere collapsing under mean curvature (Continued): F(K) = -K, surface at T= 3.6, 4.6, 5.6. 6.6.
a COLLAPSING T0R”S:T:O.O OSHER AND SETHIAN COLLAPSING T0~Us:T~j.j COLLAPSING TOR”S:T=,.S COLLAPSING TORUS:T=~.I FIG. 14a. Collapse of torus under mean curvature (Beginning): F(K)= -K, T=O.O, 1.1, 1.6, 2.1 b COLLAPSING TORUS:T=2.6 COLLAPSING TORUS:T=3.1 COLLAPSING TORUS:T=3.6 COLLAPSING TORUS:T=~.I FIG. 14b. Collapse of torus under mean curvature (Continued): F(K) = -K, T= 2.6, 3.1, 3.6, 4.1
Page 1 and 2: JOURNAL OF COMPUTATIONAL PHYSICS 79
Page 3 and 4: 14 OSHER AND SETHIAN SLIC [26]. In
Page 5 and 6: 16 OSHER AND SETHIAN We notice that
Page 7 and 8: 18 OSHER AND SETHIAN are not unique
Page 9 and 10: 20 OSHER AND SETHIAN (x(si, sz), y(
Page 11 and 12: 22 OSHER AND SETHIAN function of al
Page 13 and 14: 24 OSHER AND SETHIAN (2) Higher Ord
Page 15 and 16: 26 OSHER AND SETHIAN struct a new c
Page 17 and 18: 28 OSHER AND SETHIAN which has a sl
Page 19 and 20: 30 OSHER AND SETHIAN second-order H
Page 21 and 22: 32 FIG. 2. Propagating initial sine
Page 23 and 24: I I I I I I I I I -0.250 -*.1m -0.0
Page 25 and 26: 36 OSHER AND SETHIAN collapse to a
Page 27 and 28: 38 OSHER AND SETHIAN according to E
Page 29 and 30: 40 OSJXER AND SETHIAN and upper bac
Page 31: 42 OSHER AND SETHIAN a EXPANDING TO
Page 35 and 36: 46 OSHER AND SETHIAN Following our
Page 37 and 38: 48 OSHER AND SETHIAN To summarize,

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