@article{oai:kitami-it.repo.nii.ac.jp:02000350,
 author = {Tashi and AMM Sharif Ullah and Akihiko Kubo},
 issue = {83},
 journal = {Mathematical and Computational Applications},
 month = {},
 note = {Abstract: 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 ecacy 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.},
 title = {Geometric Modeling and 3D Printing Using Recursively Generated Point Cloud},
 volume = {24},
 year = {2019}
}