Applications of Laguerre geometry to computer aided geometric design are presented, realized through Minkowski actions. Basic Laguerre geometry is first discussed. Then quaternions, set multiplication, and the use of quaternion sets to define Minkowski actions are described and used to achieve results used in geometric design
The Minkowski product of unit quaternion sets is introduced and analyzed, motivated by the desire to...
After more than hundred years of arguments in favour and against quaternions, of exciting odysseys w...
The study of geometry provides a rich and attractive field of manipulatives, because geometry is pr...
Applications of Laguerre geometry to computer aided geometric design are presented, realized through...
The Minkowski product can be viewed as a higher dimensional version of interval arithmetic. We discu...
The Minkowski product can be viewed as a higher-dimensional version of inter-val arithmetic. We disc...
University of Minnesota M.S. thesis. October 2016. Major: Applied and Computational Mathematics. Adv...
We present two exact implementations of efficient output-sensitive algorithms that compute Minkowski...
AbstractAlgorithms are developed, based on topological principles, to evaluate the boundary and “int...
Thesis (M.S.) University of Alaska Fairbanks, 2014We present an axiomatic development of geometric a...
The existing approaches support Minkowski sums for the boundary, set-theoretic, and ray representati...
International audienceThe paper aims to connect the Bézier curves domain to another known as the Min...
Kuaterniyonlar, 1843 yılında William Rowan Hamilton tarafından tanıtıldı. Daha sonra, reel ve dual k...
AbstractA generalized de Moivre formula is obtained and used to find the structure of the Minkowski ...
Kinematic mappings, quaternion algebra, and constraint manifolds in the algebraic image space are ap...
The Minkowski product of unit quaternion sets is introduced and analyzed, motivated by the desire to...
After more than hundred years of arguments in favour and against quaternions, of exciting odysseys w...
The study of geometry provides a rich and attractive field of manipulatives, because geometry is pr...
Applications of Laguerre geometry to computer aided geometric design are presented, realized through...
The Minkowski product can be viewed as a higher dimensional version of interval arithmetic. We discu...
The Minkowski product can be viewed as a higher-dimensional version of inter-val arithmetic. We disc...
University of Minnesota M.S. thesis. October 2016. Major: Applied and Computational Mathematics. Adv...
We present two exact implementations of efficient output-sensitive algorithms that compute Minkowski...
AbstractAlgorithms are developed, based on topological principles, to evaluate the boundary and “int...
Thesis (M.S.) University of Alaska Fairbanks, 2014We present an axiomatic development of geometric a...
The existing approaches support Minkowski sums for the boundary, set-theoretic, and ray representati...
International audienceThe paper aims to connect the Bézier curves domain to another known as the Min...
Kuaterniyonlar, 1843 yılında William Rowan Hamilton tarafından tanıtıldı. Daha sonra, reel ve dual k...
AbstractA generalized de Moivre formula is obtained and used to find the structure of the Minkowski ...
Kinematic mappings, quaternion algebra, and constraint manifolds in the algebraic image space are ap...
The Minkowski product of unit quaternion sets is introduced and analyzed, motivated by the desire to...
After more than hundred years of arguments in favour and against quaternions, of exciting odysseys w...
The study of geometry provides a rich and attractive field of manipulatives, because geometry is pr...