Tangent vectors to a surface normal

Application of the Householder formula to compute tangent vector fields given the surface normals

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Updated 8 Jan 2018

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The Householder formula is a robust and efficient way to compute tangent and bitangent vectors given a surface normal. The computed vector fields are both locally and globally coherent. The accompanying demo illustrates the tangent vector fields of several quadratic surfaces : Ellipsoid, Elliptic Paraboloid, Hyperbolic Paraboloid, Hyperboloid of 1 sheet, Hyperboloid of 2 sheets, Elliptic Cone, Elliptical Cylinder, Hyperbolic Cylinder, and Parabolic Cylinder.
Each tangent and bitangent vector fields are calculated with the Householder formula.
Please cite:
D.S. Lopes, M.T. Silva, and J.A. Ambrósio, Tangent vectors to a 3-D surface normal: A geometric tool to find orthogonal vectors based on the Householder transformation, Computer-Aided Design, 45(3): 683 - 694, 2013. DOI: 10.1016/j.cad.2012.11.003

Cite As

Daniel Lopes (2023). Tangent vectors to a surface normal (https://www.mathworks.com/matlabcentral/fileexchange/65627-tangent-vectors-to-a-surface-normal), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012b
Compatible with any release
Platform Compatibility
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Version Published Release Notes
1.0.0.0

Added thumbnail figure.
Added paper reference.