Shape-Based 3D Surface Correspondence
Using Geodesics and Local Geometry



Yongmei Wang, Bradley S. Peterson and Lawrence H. Staib
Computer Vision and Pattern Recognition, June 2000



(a) Scale 1 (b) Scale 2 (c) Scale 3

Figure 1: Sulci (red) and gyri (green) points of the study brain by thresholding the curvedness (Eq.()). Top: dorsal view; Bottom: ventral view. (a): scale 1 (Gauss smoothing sigma = 0.5), sulci (35%), gyri (15%); (b): scale 2 (smoothing sigma = 1.5), sulci (25%), gyri (10%); (c): scale 3 (smoothing sigma = 2.5), sulci (10%), gyri (3%). (Note: the percentages shown in the brackets are the number of selected sulci or gyri points over the total number of surface points.)



(a)
(b)
(c)
(d)

Figure 13: Evaluation of different methods for the known warp (Eq.(10)). (a): true absolute distance map and direction of differences (left and right are two different views); (b): results by our shape-based method (initial points from known warp) with absolute distance mean square error 3.66; (c): results by our shape-based method (initial points from our point matching procedure) with absolute distance mean square error 8.68; (d): results by the simple closest point method with absolute distance mean square error 16.03.


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