Next Article in Journal
Topology Based Object Tracking
Previous Article in Journal
Variation Rate to Maintain Diversity in Decision Space within Multi-Objective Evolutionary Algorithms
Open AccessFeature PaperArticle

Geometric Modeling and 3D Printing Using Recursively Generated Point Cloud

1
Graduate School of Engineering, Kitami Institute of Technology, 165 Koen-cho, Kitami 090-8507, Japan
2
Faculty of Engineering, Kitami Institute of Technology, 165 Koen-cho, Kitami 090-8507, Japan
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2019, 24(3), 83; https://doi.org/10.3390/mca24030083
Received: 15 June 2019 / Revised: 22 August 2019 / Accepted: 16 September 2019 / Published: 17 September 2019
(This article belongs to the Section Engineering)
Previous studies have reported that a recursive process called the point cloud creation algorithm (PCA) that generates a point cloud is useful for reverse engineering a planner shape. This study elucidates the characteristics of the parameters used in the recursive process as well as its ability in geometric modeling and 3D printing of 3D shapes. In the recursive process, three constants (center point, initial distance, and initial angle) and two variables (instantaneous distance and instantaneous rotational angle) are employed. The shape-modeling characteristics of the constants and variables are elucidated using some commonly used shapes (straight-line, circle, ellipses, spiral, astroid, S-shape, and leaf-shape). In addition, the shape-modeling capability of the recursive process as a whole is quantified using two parameters called the radius of curvature and aesthetic value. Moreover, an illustrative example that shows the efficacy of the recursive process in virtual and physical prototyping of a relatively complex 3D object is presented. The results show that reverse engineering performed by the recursive-process-created point cloud is free from computational complexity compared to reverse engineering performed by the 3D-scanner-created point cloud. As such, the outcomes of this study enrich the field of reverse engineering. View Full-Text
Keywords: geometric modeling; additive manufacturing; reverse engineering; point cloud; design for additive manufacturing geometric modeling; additive manufacturing; reverse engineering; point cloud; design for additive manufacturing
Show Figures

Figure 1

MDPI and ACS Style

Tashi; Ullah, A.S.; Kubo, A. Geometric Modeling and 3D Printing Using Recursively Generated Point Cloud. Math. Comput. Appl. 2019, 24, 83.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop