Robust Myocardial Motion Tracking for Echocardiography: Variational Framework Integrating Local-to-Global Deformation

Table 1

The tracking points and displacements used in sequential synthetic images.

(a) Tracking points

𝑖	𝐫𝑖 at 1st 𝐼	𝐫𝑖 at 2nd 𝐼	𝐫𝑖 at 3rd 𝐼	𝐫𝑖 at 4th 𝐼
1	(152, 201)	(153, 196)	(154, 187)	(154, 183)
2	(151, 176)	(152, 171)	(153, 165)	(154, 161)
3	(155, 151)	(156, 147)	(157, 142)	(158, 139)
4	(152, 128)	(153, 125)	(155, 120)	(156, 118)
5	(142, 105)	(144, 103)	(146, 100)	(147, 98)
6	(147, 82)	(149, 80)	(152, 78)	(153, 77)
7	(167, 71)	(169, 70)	(171, 69)	(172, 68)
8	(188, 84)	(189, 82)	(190, 80)	(191, 79)
9	(207, 101)	(207, 99)	(207, 96)	(207, 94)
10	(217, 124)	(217, 121)	(216, 116)	(216, 114)
11	(224, 147)	(223, 143)	(222, 138)	(221, 135)
12	(229, 172)	(228, 167)	(227, 160)	(226, 156)
13	(229, 196)	(228, 191)	(226, 182)	(225, 178)

(b) Displacements

𝑖	𝐮𝑖 at 1st 𝐼	𝐮𝑖 at 2nd 𝐼	𝐮𝑖 at 3rd 𝐼
1	(1,−5)	(1,−9)	(0,−4)
2	(1,−5)	(1,−6)	(1,−4)
3	(1,−4)	(1,−5)	(1,−3)
4	(1,−3)	(2,−5)	(1,−2)
5	(2,−2)	(2,−3)	(1,−2)
6	(2,−2)	(3,−2)	(1,−1)
7	(2,−1)	(2,−1)	(1,−1)
8	(1,−2)	(1,−2)	(1,−1)
9	(0,−2)	(0,−3)	(0,−2)
10	(0,−3)	(−1,−5)	(0,−2)
11	(−1,−4)	(−1,−5)	(−1,−3)
12	(−1,−5)	(−1,−7)	(−1,−4)
13	(−1,−5)	(−2,−9)	(−1,−4)