---
title: Definitions of distance function in radial basis function approach
url: https://www.emergentmind.com/papers/0207018
type: paper
arxiv_id: '0207018'
arxiv_url: https://arxiv.org/abs/0207018
published: '2002-07-04'
categories:
- cs.CE
- cs.CG
---

# Definitions of distance function in radial basis function approach

## Abstract

Very few studies involve how to construct the efficient RBFs by means of problem features. Recently the present author presented general solution RBF (GS-RBF) methodology to create operator-dependent RBFs successfully [1]. On the other hand, the normal radial basis function (RBF) is defined via Euclidean space distance function or the geodesic distance [2]. This purpose of this note is to redefine distance function in conjunction with problem features, which include problem-dependent and time-space distance function.