Abstract

Layered manufacturing techniques have been successfully employed to construct scanned objects from three-dimensional medical image data sets. The printed physical models are useful tools for anatomical exploration, surgical planning, teaching, and related medical applications. Before fabricating scanned objects, we have to first build watertight geometrical representations of the target objects from medical image data sets. Many algorithms had been developed to fulfill this duty. However, some of these methods require extra efforts to resolve ambiguity problems and to fix broken surfaces. Other methods cannot generate legitimate models for layered manufacturing. To alleviate these problems, this article presents a modeling procedure to efficiently create geometrical representations of objects from computerized tomography scan and magnetic resonance imaging data sets. The proposed procedure extracts the iso-surface of the target object from the input data set at the first step. Then it converts the iso-surface into a three-dimensional image and filters this three-dimensional image using morphological operators to remove dangling parts and noises. At the next step, a distance field is computed in the three-dimensional image space to approximate the surface of the target object. Then the proposed procedure smooths the distance field to soothe sharp corners and edges of the target object. Finally, a boundary representation is built from the distance field to model the target object. Compared with conventional modeling techniques, the proposed method possesses the following advantages: (1) it reduces human efforts involved in the geometrical modeling process. (2) It can construct both solid and hollow models for the target object, and wall thickness of the hollow models is adjustable. (3) The resultant boundary representation guarantees to form a watertight solid geometry, which is printable using three-dimensional printers. (4) The proposed procedure allows users to tune the precision of the geometrical model to compromise with the available computational resources.

Highlights

  • Computerized tomography (CT) scan and magnetic resonance imaging (MRI) are powerful technologies for producing cross-sectional images of three-dimensional (3D) objects

  • Motivated by the works of Turner and Gold[6] and Giannopoulos et al.,[7] we developed a geometrical modeling procedure aiming to reduce the complexity of the modeling process and to increase the efficiency and usability of Layered manufacturing (LM) in medical applications

  • We found that a few iterations of the Laplacian smoothing are enough for creating a smooth boundary representations (B-reps)

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Summary

Introduction

Computerized tomography (CT) scan and magnetic resonance imaging (MRI) are powerful technologies for producing cross-sectional images of three-dimensional (3D) objects. LM techniques are getting popular in prototyping and product manufacturing.[4] Scientists and engineers had applied LM techniques in numerous medical applications, including cosmetic surgeries, bone replacement, surgical planning, and tissue and organ model reconstruction.[5] LM methods are applicable to the exploration of CT-scan and MRI data too. Users can employ these techniques to generate physical models from the data sets to obtain a better understanding about the scanned objects. At the end of the modeling procedure, the final models are extracted and expressed in boundary representations (B-reps) to comply with the requirements of LM processes

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