仿射形态尺度空间（Amss）模型的有限体积格式

Q4 Mathematics

Tatra Mountains Mathematical Publications Pub Date : 2021-12-01 DOI:10.2478/tmmp-2021-0031

A. Handlovicová, K. Mikula

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引用次数: 0

摘要

摘要提出了仿射形态尺度空间（AMSS）模型逼近的有限体积（FV）数值格式。对于格式参数θ，0≤θ≤1，导出了Crank-Nicolson型的数值格式。研究了显式（θ=0）、半隐式、全隐式（θ=1）和Crank-Nicolson（θ=0.5）格式。导出了显式和隐式格式的稳定性估计。在几个数值实验中，给出了数值格式的性质和比较。

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Finite Volume Schemes for the Affine Morphological Scale Space (Amss) Model

Abstract Finite volume (FV) numerical schemes for the approximation of Affine Morphological Scale Space (AMSS) model are proposed. For the scheme parameter θ, 0 ≤ θ ≤ 1 the numerical schemes of Crank-Nicolson type were derived. The explicit (θ = 0), semi-implicit, fully-implicit (θ = 1) and Crank-Nicolson (θ = 0.5) schemes were studied. Stability estimates for explicit and implicit schemes were derived. On several numerical experiments the properties and comparison of the numerical schemes are presented.

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来源期刊

Tatra Mountains Mathematical Publications Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

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