Seminars

Abstract: We present a new approach for the design of optimal steerable 2-D templates for feature detection. As opposed to classical schemes where the optimal 1-D template is derived and extended to 2-D, we directly obtain the 2-D template. We choose the template from a class of steerable functions based on the analytic optimization of a Canny-like criterion. Our approach gives more orientation selective templates that have simple closed form expression. We illustrate the method with the design of operators for edge and ridge detection and demonstrate their performance improvement in practical applications.

Abstract: We use an elementary signals and systems formulation to derive and explain the main properties of polynomial splines. We then extend the formulation to cardinal exponential splines. In particular, we show that these splines can be expressed as a linear combination of the integer shifts of the Green function of some underlying differential operator. We construct the corresponding compactly-supported B-spline functions and discuss some interesting connections with basic system theory.