Quaternion calculus as a basic tool in computer graphics

DOI10.1007/BF01901476zbMath0668.65012MaRDI QIDQ1118334

Daniel Pletinckx

Publication date: 1989

Published in: The Visual Computer (Search for Journal in Brave)

zbMATH Keywords

animationmodelingrotationsubdivisioncomputer graphicsorientationrenderingPhong shadingB- splinespropagation control graphsquarternions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computing methodologies and applications (68U99) Algorithms for approximation of functions (65D15) Descriptive geometry (51N05)

Related Items (10)

The shape of spherical quartics ⋮ Interpolation on quadric surfaces with rational quadratic spline curves ⋮ Semi‐tensor product of quaternion matrices and its application ⋮ Structure Preserving Quaternion Biconjugate Gradient Method ⋮ Spline split quaternion interpolation in Minkowski space ⋮ \(C^{2}\) spherical Bézier splines ⋮ An algorithm for quaternion-based 3D rotation ⋮ Particle-scale computational approaches to model dry and saturated granular flows of non-Brownian, non-cohesive, and non-spherical rigid bodies ⋮ Modified Rodrigues parameters: an efficient representation of orientation in 3D vision and graphics ⋮ Unnamed Item

Cites Work

• A survey of curve and surface methods in CAGD
• A 4-point interpolatory subdivision scheme for curve design
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