TY - GEN
T1 - Constrained regularization approach to curvature estimation
AU - Sohn, Kwanghoon
AU - Alexander, Winser E.
AU - Kim, Jung H.
PY - 1992/1/1
Y1 - 1992/1/1
N2 - In this paper, we propose a method for boundary smoothing using constrained regularization technique. The smoothed boundary is used to compute a curvature function. Computing a curvature function on a digitized boundary is an ill-posed problem due to the discrete nature of the boundary. Thus, the boundary needs to be smoothed before computing the curvature function. We use a constrained regularization technique to obtain the optimal smooth boundary. The curvature function is computed from this optimal smooth boundary. This method solves a common critical problem of current curvature estimation methods in determining a unique smoothing factor. Using the above method, we derive a curvature function which is invariant under rotation, scale and translation. Thus, the resulting curvature function can be used to uniquely detect corner points.
AB - In this paper, we propose a method for boundary smoothing using constrained regularization technique. The smoothed boundary is used to compute a curvature function. Computing a curvature function on a digitized boundary is an ill-posed problem due to the discrete nature of the boundary. Thus, the boundary needs to be smoothed before computing the curvature function. We use a constrained regularization technique to obtain the optimal smooth boundary. The curvature function is computed from this optimal smooth boundary. This method solves a common critical problem of current curvature estimation methods in determining a unique smoothing factor. Using the above method, we derive a curvature function which is invariant under rotation, scale and translation. Thus, the resulting curvature function can be used to uniquely detect corner points.
UR - http://www.scopus.com/inward/record.url?scp=85067967781&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85067967781&partnerID=8YFLogxK
U2 - 10.1109/SSST.1992.712269
DO - 10.1109/SSST.1992.712269
M3 - Conference contribution
T3 - Proceedings - SSST/CSA 1992: 24th Southeastern Symposium on System Theory and 3rd Annual Symposium on Communications, Signal Processing Expert Systems, and ASIC VLSI Design
SP - 235
EP - 239
BT - Proceedings - SSST/CSA 1992
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 24th Southeastern Symposium on System Theory and 3rd Annual Symposium on Communications, Signal Processing Expert Systems, and ASIC VLSI Design, SSST/CSA 1992
Y2 - 1 March 1992 through 3 March 1992
ER -