Geometric and Kinematic Aspects of Image-Based Measurements of Deformable Bodies

From the viewpoint of an experimental fluid dynamicist, theoretical foundations of quantitative image-based measurements for extracting geometric and kinematic properties of deformable bodies like fluids are discussed. New results are obtained by using a combination of methods in perspective and differential geometry and continuum mechanics. Topics include perspective projection transformation, perspective developable conical surface and its applications, perspective projection of motion field on surface, the correspondence problem, composite image space, perspective invariants, and motion equations of image intensity. The developed methods provide useful tools for experimentalists to determine morphology and motion field of deformable bodies from images.