. Author manuscript; available in PMC: 2020 Aug 5.

Published in final edited form as: Proc IEEE Int Symp Biomed Imaging. 2020 May 22;2020:534–538. doi: 10.1109/isbi45749.2020.9098316

Table 1.

Comparing different smoothing methods by four metrics, mean value deviation of function, the max of the function deviation, and the number of overlapped triangles (non-diffeomorphic triangles). Value deviation means error to the ground truth. For cells with two values like “A/B”, “A” is the result for the map with a small added noise (PSNR = 20 dB); while “B” is the result for the map with a big added noise (PSNR = 10 dB).

Method	Value Deviation		# Flipped Triangles
Method	Mean	Max	# Flipped Triangles
Before Smoothing	0.25/0.40	0.64/1.05	19/56
Average Smoothing	0.18/0.24	0.62/0.77	3/8
Median Smoothing	0.22/0.28	0.69/0.83	2/24
Laplacian Smoothing	0.23/0.36	0.66/0.92	11/43
Proposed	0.19/0.22	0.65/0.75	0/0