Towards High Quality Gradient Estimation on Regular Lattices

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Towards High Quality Gradient Estimation on Regular Lattices Zahid Hossain, Usman Raza Alim and Dr. Torsten Möller

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Towards High Quality Gradient Estimation on Regular Lattices. Zahid Hossain, Usman Raza Alim and Dr. Torsten Möller. Our Contributions. Small Support. Problem: Derivative Estimation. Very accurate. Taylor Series Framework. Orthogonal Projection Framework. - PowerPoint PPT Presentation

Transcript of Towards High Quality Gradient Estimation on Regular Lattices

Page 1: Towards High Quality Gradient Estimation on Regular Lattices

Towards High Quality Gradient Estimation on Regular Lattices

Zahid Hossain, Usman Raza Alim and Dr. Torsten Möller

Page 2: Towards High Quality Gradient Estimation on Regular Lattices

Our Contributions

Problem: Derivative Estimation

Taylor Series Framework

Orthogonal ProjectionFramework

Extended to all regular

lattices in Rn: CC, BCC …

SmallSupport

Veryaccurate

CC BCC

Page 3: Towards High Quality Gradient Estimation on Regular Lattices

Comparison: In BCC Grid

High Res.

Low Res.Existing Method:

2nd-CDOur Method:

Taylor Series FrameworkOur Method:

Orthogonal Projection Framework


Packing Lattices

Packing Lattices

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Space lattices

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7 Lattices

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