Abstract
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.
Highlights
Recent advances in the area of computer graphics have enabled a synthesis of photo-realistic images from virtual scene descriptions that comprise many graphical systems
In that algorithm we proposed a technique for 3D reconstruction of the coronary artery tree called Fast 3D (F3D) and used the gray scale value as the z-dimension
This means that the 3D shapes of both the F3D and Paraboloid Fitting (PF) have the same geometric features
Summary
Recent advances in the area of computer graphics have enabled a synthesis of photo-realistic images from virtual scene descriptions that comprise many graphical systems. There are many cases where the reality of the images being synthesized is highly dependent on the quality of models being used. This motivates the development of high quality models that are able to describe even fine details of objects. There are various types of scanning devices available including 3D laser scanners, the development of high quality models is still considered a difficult and time consuming task. There are several archives and collections existing on the Internet that provide 3D models in particular. These archives are rarely accompanied by suitable search functions in order to compare and match shapes of stored models. The system designers are usually forced to set aside considerable time for investigation of the models one by one (Krsek et al, 1998)
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