TY - JOUR
T1 - Swept volumes
T2 - Fundation, perspectives, and applications
AU - Abdel-Malek, Karim
AU - Yang, Jingzhou
AU - Blackmore, Denis
AU - Joy, Ken
PY - 2006/6
Y1 - 2006/6
N2 - A survey of swept volume concepts and methods is presented. It consolidates and relates seemingly different terminology and methods. The methods are divided into five major categories: method with envelope theory, method with sweep differential equation (SDE)/sweep envelope differential equation (SEDE), method with Jacobian rank deficiency, Voxel-based method, and free-form solids' sweeping methods. Commentary is provided on three fronts, concerning the advantages and pitfalls of individual methods, the different classes of methods, and the field of swept volumes as a whole. The characteristics of the most significant methods are summarized. The applicability of this seemingly simple formulation to the fields of solid modeling, robotics, manufacturing automation, and visualization is demonstrated through results reported by the authors, each in their own field.
AB - A survey of swept volume concepts and methods is presented. It consolidates and relates seemingly different terminology and methods. The methods are divided into five major categories: method with envelope theory, method with sweep differential equation (SDE)/sweep envelope differential equation (SEDE), method with Jacobian rank deficiency, Voxel-based method, and free-form solids' sweeping methods. Commentary is provided on three fronts, concerning the advantages and pitfalls of individual methods, the different classes of methods, and the field of swept volumes as a whole. The characteristics of the most significant methods are summarized. The applicability of this seemingly simple formulation to the fields of solid modeling, robotics, manufacturing automation, and visualization is demonstrated through results reported by the authors, each in their own field.
KW - NC verification
KW - Solid modeling
KW - Swept volumes
KW - Workspace analysis
UR - http://www.scopus.com/inward/record.url?scp=33745888998&partnerID=8YFLogxK
U2 - 10.1142/S0218654306000858
DO - 10.1142/S0218654306000858
M3 - Article
AN - SCOPUS:33745888998
SN - 0218-6543
VL - 12
SP - 87
EP - 127
JO - International Journal of Shape Modeling
JF - International Journal of Shape Modeling
IS - 1
ER -