Principles of interactive computer graphics (2nd ed.)
Principles of interactive computer graphics (2nd ed.)
X-Window based graphical of mobile robot simulator for path planning and sensor fusion experiments
ANSS '91 Proceedings of the 24th annual symposium on Simulation
On the algebraic and geometric foundations of computer graphics
ACM Transactions on Graphics (TOG)
Lines in Space: Part 1:The 4D Cross Product
IEEE Computer Graphics and Applications
Lines in Space: Part 2. The Line Formulation
IEEE Computer Graphics and Applications
Creating polyhedral stellations
SIGGRAPH '80 Proceedings of the 7th annual conference on Computer graphics and interactive techniques
Lines in Space: Part 3--The Two Matrices
IEEE Computer Graphics and Applications
Computer Graphics in its Fifth Decade: Ferment at the Foundations
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Obtaining the Inverse Distance Map from a Non-SVP Hyperbolic Catadioptric Robotic Vision System
RoboCup 2007: Robot Soccer World Cup XI
Computation in projective space
MAMECTIS'09 Proceedings of the 11th WSEAS international conference on Mathematical methods, computational techniques and intelligent systems
Duality, barycentric coordinates and intersection computation in projective space with GPU support
WSEAS Transactions on Mathematics
Duality and intersection computation in projective space with GPU support
ASM'10 Proceedings of the 4th international conference on Applied mathematics, simulation, modelling
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Homogeneous coordinates have long been a standard tool of computer graphics. They afford a convenient representation (for) various geometric quantities in two and three dimensions. The representation of lines in three dimensions has, however, never been fully described. This paper presents a homogeneous formulation for lines in 3 dimensions as an anti-symmetric 4x4 matrix which transforms as a tensor. This tensor actually exists in both covariant and contravariant forms, both of which are useful in different situations. The derivation of these forms and their use in solving various geometrical problems is described.