Shape Change Along Geodesics with Application to Cleft Lip Surgery

Julian Faraway and Carroll-Ann Trotman


Continuous shape change is represented as curves in the shape space. A method for checking the closeness of these curves to a geodesic is presented. Three large databases of short human motions are considered and shown to be well-approximated by geodesics. The motions are thus approximated by two shapes on the geodesic and the rate of progress along the path. An analysis of facial motion data taken from a study of subjects with cleft lip/palate is presented that allows the motion to be considered independently from the static shape. Inferential methods for assessing the change in motion are presented. The construction of predicted animated motions is discussed.
Some example of animated raw motion capture data: (Whole Head motion has been removed)
Subject RR31 performs a maximal smile before surgery and another after surgery
Averaging motions:
The mean smiles over all cleft revision subjects before and after surgery. Motion has been adjusted to start from the same mean initial shape.
We also provide a subset of the data that is described in the paper. The first two columns in the data provide the index and time of the frame. The remaining 38*3 columns give the coordinates of the markers in the order indicated in the header. The seperator is a tab and missing values are denoted by a null entry.

Further examples of motion can be found in a related paper: Effects of Lip Revision Surgery in Patients with Cleft Lip & Palate

Last modified: Fri Feb 19 12:18:40 GMT 2010