Comparing 3-D Interpolation Techniques

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Binu Enchakalody

Comparing 3-D Interpolation Methods - Nearest Neighbour, Cubic convolution, B-spline, Tri-linear

Tecnología Arte y fotografía

Comparing 3-D Interpolation Methods Binu Enchakalody January, 12 2010

Interpolation Methods ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Methods ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Tri-Linear Weights an interpolated intensity value, based on the distance from the nearest x,y and z pixels within a 2 x 2 x 2 neighborhood Nearest Neighbor Picks the intensity of the nearest x,y and z pixel within a 2 x 2 x 2 neighborhood

Piecewise-Cubic ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Piecewise Cubic-Spline ,[object Object],[object Object],[object Object],[object Object],General Equation

Piecewise Cubic-Spline ,[object Object],[object Object],[object Object]

Calculating Control Points, C Parallel Algorithm A parallel B-Spline fitting algorithm – F.Cheng, A. Gosthashby

Analysis ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Error analysis on test matrix, after 6 rotations of 60 ° - along Z-axis (top), along X-axis (bottom)

Approx. computation time@ rotation(MATLAB profiler)

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