A Centroid for Sections of a Cube in a Function Space, with application to Colorimetry
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| Authors | Glenn Davis |
| Journal/Conference Name | ArXiv e-prints |
| Paper Category | Other |
| Paper Abstract | The definition of the centroid in finite dimensions does not apply in a function space because of the lack of a translation invariant measure. Another approach, suggested by Nik Weaver, is to use a suitable collection of finite-dimensional subspaces. For a specific collection of subspaces of $L^1[0,1]$, this approach is shown to be successful when the subset is the intersection of a cube with a closed affine subspace of finite codimension. The techniques used are the classical Laplace Transform and saddlepoint method for asymptotics. Applications to spectral reflectance estimation in colorimetry are presented. |
| Date of publication | 2018 |
| Code Programming Language | R |
| Comment |
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