TY - JOUR
T1 - A Theoretically Complete Surface Segmentation Method for CNC Subtractive Fabrication
AU - Ma , Hong-Yu
AU - Yuan , Chun-Ming
AU - Shen , Li-Yong
AU - Feng , Yi-Fei
JO - CSIAM Transactions on Applied Mathematics
VL - 2
SP - 325
EP - 344
PY - 2023
DA - 2023/02
SN - 4
DO - http://doi.org/10.4208/csiam-am.SO-2022-0032
UR - https://global-sci.org/intro/article_detail/csiam-am/21417.html
KW - Surface segmentation, triangular mesh model, minimum cut, subtractive fabrication.
AB - <p style="text-align: justify;">We present a well improved surface segmentation algorithm for 3-axis/3+2-axis CNC subtractive fabrication. For a free-form surface (represented by the triangular mesh), to avoid collision with the cutter during complex surface machining, it is
essential to segment it into several patches. We transform the surface segmentation
problem into a mathematical problem based on energy minimization according to several fabrication constraints, and solved by establishing a weighted graph and searching the minimum cut. Our algorithm has simple structure and is easy to implement.
Moreover, the algorithm guarantees correctness and completeness in theory, that is,
we prove that the weight of the minimum cut is equivalent to the minimum value of
the energy function. Experimental results are provided to illustrate and clarify our
method.</p>