Problem statement: Three-Dimension (3D) reconstruction is one of the vital and robust
tools that provide aid in many fields, especially medicine. This article is about 3D shape similarity and
it presents a comparison approach between principal curvature methods of 3D output. Our approach
follows the concept of using the gray scale value as the z dimension and the other approach is a
standard one. A comparison of the curvature of the 3D outputs will be made between the standard
approach and our proposed one to prove its correctness. We propose to use the standard deviation
technique to compare the output features of the 3D coronary artery trees. We applied a standard
approach of 3D shape similarity and compared the features with ours. The standard approach was
published in 1998 as a study comparing certain 3D curvature measurement algorithms. Approach: Our
approach consists of three major steps: (1) Apply the paraboloid fitting technique from the standard
approach; (2) Apply the 3D reconstruction algorithm proposed in this research on the same data in step
(1) and (3) Apply the Standard Deviation technique on both outputs from (1) and (2) and compare the
outputs. Results: Experimental evaluation has been done on clinical raw data sets where the
experimental results revealed that both outputs are totally matched. Conclusion: The match in the
output refers to the correctness of the proposed 3D output and subsequently its coronary artery tree
curvature as well.
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