Page 2 1. Overview Page 10 2. Background Page 12 3. The differential calculus, sensitivity to errors and uncertainty Page 20 4. The notion of ‘differentials’ and ratio of differentials Page 27 5. The notion of a function Page 34 6. The exponential function Page 39 7. The natural logarithm Page 41 8. The derivative of the natural logarithm Page 41 9. The derivatives of some simple functions Page...

In this paper, a novel Patch Geodesic Derivative Pattern (PGDP) describing the texture map of a face through its shape data is proposed. Geodesic adjusted textures are encoded into derivative patterns for similarity measurement between two 3D images with different pose and expression variations. An extensive experimental investigation is conducted using the publicly available Bosphorus and BU-3...

Derivative-free iterative methods are useful to approximate the numerical solutions when given function lacks explicit derivative information or derivatives too expensive compute. Exploring convergence properties of such is crucial in their development. The behavior approaches and determining practical applicability require conducting local as well semi-local analysis. In this study, we explore...