학술논문

A Review of Methods to Compute Minkowski Operations for Geometric Overlap Detection
Document Type
Periodical
Source
IEEE Transactions on Visualization and Computer Graphics IEEE Trans. Visual. Comput. Graphics Visualization and Computer Graphics, IEEE Transactions on. 27(8):3377-3396 Aug, 2021
Subject
Computing and Processing
Bioengineering
Signal Processing and Analysis
Shape
Windings
Collision avoidance
Navigation
Image edge detection
Testing
Tools
computational geometry
configuration space
minkowski sum
no-fit polygon
reviews
Language
ISSN
1077-2626
1941-0506
2160-9306
Abstract
This article provides an extensive review of algorithms for constructing Minkowski sums and differences of polygons and polyhedra, both convex and non-convex, commonly known as no-fit polygons and configuration space obstacles. The Minkowski difference is a set operation, which when applied to shapes defines a method for efficient overlap detection, providing an important tool in packing and motion-planning problems. This is the first complete review on this specific topic, and aims to unify algorithms spread over the literature of separate disciplines.