Graduate course in Morphometrics

Torbjörn Lundh

Mathematical Sciences


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Morphometrics is a field that has a long history and has changed drastically over the last years due to the overwhelming amount of (3D) anatomical data, and the availability of fast computers.

I plan to give a graduate course open to both theoretically inclined students and to more experimentalists. 
There will be common lectures twice a week in period 1 in the fall, but the assignments will be divided into two categories: one more theoretical and the other more applied.

There are two different text-book suggestions: Geometric Morphometrics for Biologists, Zelditch et al, 2004; and Morphometric Tools for Landmark Data, F. Bookstein, 1991.

book 1

book 2







Some key words: mean landmark locations, biorthogonal directions, mean landmark configuration, rat calvarial growth, relative eigenanalysis, net bending energy, log anisotropy, first relative warp, single size variable, interlandmark distances, centroid size, relative warps, baseline landmarks, circular noise, spherical blackboard, partial warps, morphometric questions, principal warps, constructed landmarks, observed shape change, inhomogeneous transformation, ordinary principal components, landmark configurations, landmark displacements, landmark data


Schedule: Tuesdays 15.15-17 (starting Sept. 2) and Wednesdays 13.15-15 in lecture room Euler. Welcome!

Time
Planned contents
Tuesday, 2/9, 15.15-17
Euler
 A soft introduction to some general viewpoints, history, and questions on morphometrics
Tuesday 9/9
15.15-17
Euler
i) Background to knock-out experiment, and eye-develpment, specially angiogenesis at the retina.
ii) A real case discussion: retinal pattern formation (Sofia Tapani). How to classify and estimate differences?
iii) Discussion and suggestions on different approaches to the problem


Wednesday 10/9
13.15-15
Euler
Continuation of the real case discussion
i) How to indetify vascular vessels pixel by pixel, Magnus Röding
ii) How to build a vascular skeleton, Sofia Tapani
iii) Classification using fractals, TL
Tuesday 16/9
15.15-17

Wednesday 17/9
13.15-15

Tuesday 23/9
15.15-17

Wednesday 24/9
13.15-17

Tuesday 30/9
15.15-17

Wednesday 1/10
13-15

Week 40
Project work, no lectures
Tuesday 14/10
15-17

Wednesday 15/10
13-15

Tuesday 21/10
15-17

Wednesday 22/10
13-15



Matematiska Sciences Chalmers and University of Gothenburg
Phone: 031 7723503 Torbjorn.lundh@chalmers.se