A Geometric Functional for Derivatives Approximation

We develop on estimation method, for the derivative field of an image based on Bayesian approach which is formulated in a geometric way. The Maximum probability configuration of the derivative field is found by a gradient descent method which leads to a non-linear diffusion type equation with added constraints. The derivatives are assumed to be piecewise smoothe and the Beltrami framework is used in the development of an adaptive smoothing process.

• Type: Conference
• Year: 1999
• Where: SCALESPACE
• Authors: Nir A. Sochen, Robert M. Haralick, Yehoshua Y. Zeevi
• Keywords: Computer Vision, Derivative field, Gradient Descent Method, Maximum Probability Configuration, SCALESPACE 1999