dimensionality of shape space for triangles

[morphmet]

-------- Original Message --------
Subject: dimensionality of shape space for triangles
Date: Sun, 22 Nov 2009 11:36:59 GMT
From: Oliver Betz <oliver.b...@uni-tuebingen.de>
To: morphmet@morphometrics.org

Dear morphometricians:

Studying the literature on shape spaces I came along with a problem of
understanding. If the shape space for triangles has the dimensionality
2k-4, i.e. 2x3-4 = 2, why is the shape space for triangles usually
drawn in the form of  a globe or sphere (e.g. in TPSTri), which is a
3D space. In my understanding, the triangles should be part of a 2D-
space  such as the tangent projection of the shape space.

Thanks for your help,

Oliver Betz

PS: I will post a summary of your replies to the server next week.




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