Morphological smoothing

Woon Kyung Kim, S. M H Song, Sun Geun Kim, Hyuck Yoo, Chongyul Yoon, Jung Soo Kim

Research output: Contribution to journalArticle

Abstract

Using concepts from mathematical morphology and learnability theory, a well-behavedness result pertaining to smoothing is demonstrated, which has fundamental ramifications ranging from physics to cognition, that states that the number of instantiated points needed to adequately reconstruct the underlying finite-sized Euclidean set is tractably large. As can be inferred in the formulation BUPETSS (bounding undershoot perception error through sufficient sampling) theorem 1 has some fundamental implications for smoothing as a cognitive and/or geometrical process. Owing to the quasi-distribution-free nature of the results in theorems 1 and 2, in conjunction with the polynomial complexities implied in eqns. 4 and 5, the interpretations drawn are presented.

Original languageEnglish
Pages (from-to)717-719
Number of pages3
JournalElectronics Letters
Volume36
Issue number8
DOIs
Publication statusPublished - 2000 Apr 13

Fingerprint

Mathematical morphology
Physics
Polynomials
Sampling

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Kim, W. K., Song, S. M. H., Kim, S. G., Yoo, H., Yoon, C., & Kim, J. S. (2000). Morphological smoothing. Electronics Letters, 36(8), 717-719. https://doi.org/10.1049/el:20000548

Morphological smoothing. / Kim, Woon Kyung; Song, S. M H; Kim, Sun Geun; Yoo, Hyuck; Yoon, Chongyul; Kim, Jung Soo.

In: Electronics Letters, Vol. 36, No. 8, 13.04.2000, p. 717-719.

Research output: Contribution to journalArticle

Kim, WK, Song, SMH, Kim, SG, Yoo, H, Yoon, C & Kim, JS 2000, 'Morphological smoothing', Electronics Letters, vol. 36, no. 8, pp. 717-719. https://doi.org/10.1049/el:20000548
Kim WK, Song SMH, Kim SG, Yoo H, Yoon C, Kim JS. Morphological smoothing. Electronics Letters. 2000 Apr 13;36(8):717-719. https://doi.org/10.1049/el:20000548
Kim, Woon Kyung ; Song, S. M H ; Kim, Sun Geun ; Yoo, Hyuck ; Yoon, Chongyul ; Kim, Jung Soo. / Morphological smoothing. In: Electronics Letters. 2000 ; Vol. 36, No. 8. pp. 717-719.
@article{43bc1a656d5c4a1a9dcdf8b3568168ae,
title = "Morphological smoothing",
abstract = "Using concepts from mathematical morphology and learnability theory, a well-behavedness result pertaining to smoothing is demonstrated, which has fundamental ramifications ranging from physics to cognition, that states that the number of instantiated points needed to adequately reconstruct the underlying finite-sized Euclidean set is tractably large. As can be inferred in the formulation BUPETSS (bounding undershoot perception error through sufficient sampling) theorem 1 has some fundamental implications for smoothing as a cognitive and/or geometrical process. Owing to the quasi-distribution-free nature of the results in theorems 1 and 2, in conjunction with the polynomial complexities implied in eqns. 4 and 5, the interpretations drawn are presented.",
author = "Kim, {Woon Kyung} and Song, {S. M H} and Kim, {Sun Geun} and Hyuck Yoo and Chongyul Yoon and Kim, {Jung Soo}",
year = "2000",
month = "4",
day = "13",
doi = "10.1049/el:20000548",
language = "English",
volume = "36",
pages = "717--719",
journal = "Electronics Letters",
issn = "0013-5194",
publisher = "Institution of Engineering and Technology",
number = "8",

}

TY - JOUR

T1 - Morphological smoothing

AU - Kim, Woon Kyung

AU - Song, S. M H

AU - Kim, Sun Geun

AU - Yoo, Hyuck

AU - Yoon, Chongyul

AU - Kim, Jung Soo

PY - 2000/4/13

Y1 - 2000/4/13

N2 - Using concepts from mathematical morphology and learnability theory, a well-behavedness result pertaining to smoothing is demonstrated, which has fundamental ramifications ranging from physics to cognition, that states that the number of instantiated points needed to adequately reconstruct the underlying finite-sized Euclidean set is tractably large. As can be inferred in the formulation BUPETSS (bounding undershoot perception error through sufficient sampling) theorem 1 has some fundamental implications for smoothing as a cognitive and/or geometrical process. Owing to the quasi-distribution-free nature of the results in theorems 1 and 2, in conjunction with the polynomial complexities implied in eqns. 4 and 5, the interpretations drawn are presented.

AB - Using concepts from mathematical morphology and learnability theory, a well-behavedness result pertaining to smoothing is demonstrated, which has fundamental ramifications ranging from physics to cognition, that states that the number of instantiated points needed to adequately reconstruct the underlying finite-sized Euclidean set is tractably large. As can be inferred in the formulation BUPETSS (bounding undershoot perception error through sufficient sampling) theorem 1 has some fundamental implications for smoothing as a cognitive and/or geometrical process. Owing to the quasi-distribution-free nature of the results in theorems 1 and 2, in conjunction with the polynomial complexities implied in eqns. 4 and 5, the interpretations drawn are presented.

UR - http://www.scopus.com/inward/record.url?scp=0033901736&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033901736&partnerID=8YFLogxK

U2 - 10.1049/el:20000548

DO - 10.1049/el:20000548

M3 - Article

AN - SCOPUS:0033901736

VL - 36

SP - 717

EP - 719

JO - Electronics Letters

JF - Electronics Letters

SN - 0013-5194

IS - 8

ER -