Efficient Kernel Convolution for Smooth Surfaces without Edge Effects

TL;DR

This paper introduces a novel integer transformation method to improve kernel convolution efficiency for smooth surface data, reducing computational volume and avoiding edge effects in FFT-based simulations.

Contribution

It presents a new approach that minimizes the enclosing box volume for kernel convolution on surfaces, enhancing efficiency over traditional 3D FFT methods.

Findings

Reduces computational volume for surface-based kernel convolution

Improves efficiency of FFT-based simulations on surfaces

Avoids edge effects in kernel convolution processes

Abstract

One of the most efficient ways to produce unconditional simulations is with the kernel convolution using fast Fourier transform (FFT) [1]. However, when data is located on a surface, this approach is not efficient because data needs to be processed in a three-dimensional enclosing box. This paper describes a novel approach based on integer transformation to reduce the volume of the enclosing box.