We consider a problem in aircraft engine testing [1], [6]. Of special concern is the influence of the aircraft forebody on the flow that reaches the engine intake. Modern aircraft are too large to place in a wind tunnel; there may not even be room for just the forebody and engine. Resourceful engineers build small “forebody simulators” that roughly reproduce the flow disturbances known to be ca...

We propose a new correspondence optimisation algorithm for building 3D statistical shape models (SSMs) of genus-0 shapes. The main contribution of our work is the use of parameter space propagation to generate consistent spherical parameterisations of the training shapes. We present evaluation results for two data sets: A set of 30 liver shapes from different patients, and a set of 25 left vent...

We consider the problem of non-rigid shape matching, and specifically the functional maps framework that was recently proposed to find correspondences between shapes. A key step in this framework is to formulate descriptor preservation constraints that help to encode the information (e.g., geometric or appearance) that must be preserved by the unknown map. In this paper, we show that considerin...

Shapes do not define a linear space. This paper explores the structure of deformations as representation shapes. transforms shape optimization to variant optimal control. The numerical challenges this point view are highlighted and version second derivative is employed, leading particular algorithms Newton type.