Added  09 Nov 2008 
Updated  25 Nov 2008 
Authors  M. Sabry Hassouna 
question 


Submitted by libingdzh on 2008, December 1  09:00. 

I have a question about the paper."Since centerline points have equal distances from the object’s boundary, then the propagating front at x_i is symmetric around the line segment x_{i1}x_i and normal to it at page 4. Does every point in the centerline have equal DFB? But they are not same in my opinion. 

Yes and No 


Submitted by msabry on 2008, December 1  11:14. 

Well, theoritically speaking, every point on the centerline have equal distances from the nearest local boundary. However, on the same centerline, points have different DFB depending on the thickness of the object. Do i understand your question? 

DFB 


Submitted by libingdzh on 2008, December 1  19:09. 

OK, different points on the same centerline have different DFB depending on the thickness of the object.However, for some point on the centerline, the distance between it and its nearest local boundary is uniform. Do i understand your idea about the first sentence? 

RE: DFB 


Submitted by msabry on 2008, December 1  22:27. 

I do not understand what do you mean by uniform. However, let me restate the sentence in a different way. I magine that we have a truncated cone of height H=10, with the largest cross section radius R = 5 and the smallest cross section radius r = 1. Assume that the centerline of the object is aligned with the zaxis. Then the centerline starts at z = 0 with r=1 and ends at z = 10 with R=5. So now, every point z on the centerline have equal distances from the nearest boundary e.x; DFB(z_i) = r_j; where r_j ranges from r=1 to R = 5.
I hope this time it is more clearer than before.

