Shape Descritor

Shape Memory Composites Based on Polymers and Metals for 4D Printing is a thorough discussion of the physics and chemistry behind this developing area of materials science. It provides readers with a clear exposition of shape-memory-composite (SMC) preparation techniques for 3D and 4D printing processes and explains how intelligent manufacturing technology may be applied in fields such as robotics, construction, medical science, and smart sensors.

Shape and Shape Theory D. G. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. K. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by statisticians, engineers and computer scientists.

In general terms, the shape of an object, data set, or image can be de­ fined as the total of all information that is invariant under translations, rotations, and isotropic rescalings. Thus two objects can be said to have the same shape if they are similar in the sense of Euclidean geometry. For example, all equilateral triangles have the same shape, and so do all cubes. In applications, bodies rarely have exactly the same shape within measure­ ment error.