Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Computer graphics: principles and practice (2nd ed.)
Computer graphics: principles and practice (2nd ed.)
A coordinate-free approach to geometric programming
Theory and practice of geometric modeling
NURB curves and surfaces: from projective geometry to practical use
NURB curves and surfaces: from projective geometry to practical use
Illicit expressions in vector algebra
ACM Transactions on Graphics (TOG)
On the algebraic and geometric foundations of computer graphics
ACM Transactions on Graphics (TOG)
Baseball Arithmetic and the Laws of Pseudoperspective
IEEE Computer Graphics and Applications
Geometric Algebra: A Computational Framework for Geometrical Applications (Part 2)
IEEE Computer Graphics and Applications
Replica technique for geometric modelling
WSEAS Transactions on Information Science and Applications
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Four types of ambient mathematical spaces underlie the algebra and geometry of computer graphics and geometric modeling: vector spaces, affine spaces, projective spaces, and Grassmann spaces. This article clarifies the relationships between these different ambient spaces and explains as well how they support the construction of the standard polynomial and rational freeform curves and surfaces of geometric design.