TY - JOUR
T1 - Ortogonal approach for haptic rendering algorithm based in conformal Geometric Algebra
AU - Sepúlveda-Cervantes, Gabriel
AU - Portilla-Flores, Edgar A.
N1 - Publisher Copyright:
© 2015 NSP.
PY - 2015
Y1 - 2015
N2 - This work presents a novel method for haptic rendering contact force and surface properties for virtual objects using the Conformal Geometric Algebra orthogonal decomposition approach. The mathematical representation of geometric primitives along with collision algorithms based on its mathematical properties is presented. The orthogonal decomposition of contact and interaction forces is achieved using the same framework and dynamic properties in both subspaces are rendered simultaneously. Comparing with vector calculus, the Conformal Geometric Algebra (CGA) approach provides an easier and more intuitive way to deal with haptic rendering problems due to its inner properties and a simpler representation of geometric objects and linear transformation. The results of the evaluation of the method using a 3 DOF haptic device are presented.
AB - This work presents a novel method for haptic rendering contact force and surface properties for virtual objects using the Conformal Geometric Algebra orthogonal decomposition approach. The mathematical representation of geometric primitives along with collision algorithms based on its mathematical properties is presented. The orthogonal decomposition of contact and interaction forces is achieved using the same framework and dynamic properties in both subspaces are rendered simultaneously. Comparing with vector calculus, the Conformal Geometric Algebra (CGA) approach provides an easier and more intuitive way to deal with haptic rendering problems due to its inner properties and a simpler representation of geometric objects and linear transformation. The results of the evaluation of the method using a 3 DOF haptic device are presented.
KW - Geometric Algebra
KW - Haptic rendering
KW - Haptics
UR - http://www.scopus.com/inward/record.url?scp=84907246424&partnerID=8YFLogxK
U2 - 10.12785/amis/090116
DO - 10.12785/amis/090116
M3 - Artículo
SN - 1935-0090
VL - 9
SP - 113
EP - 124
JO - Applied Mathematics and Information Sciences
JF - Applied Mathematics and Information Sciences
IS - 1
ER -