國立高雄大學圖資館 |

Language: English

Back

An introduction to variational calculusapplications in image processing /

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to variational calculusby Hebert Montegranario.
Reminder of title:	applications in image processing /
Author:	Montegranario, Hebert.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	x, 149 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Calculus of variations.
Online resource:	https://doi.org/10.1007/978-3-031-77270-2
ISBN:	9783031772702$q(electronic bk.)

An introduction to variational calculusapplications in image processing /
Montegranario, Hebert.

An introduction to variational calculusapplications in image processing /[electronic resource] :by Hebert Montegranario. - Cham :Springer Nature Switzerland :2025. - x, 149 p. :ill., digital ;24 cm.

Introduction -- Mathematical Preliminaries -- Linear Operators and Functionals -- Minimization of Functionals -- Inverse Problems and Variational Regularization -- Variational Curve and Surface Interpolation -- Further Models and Applications.

This textbook introduces variational calculus and regularization methods for inverse problems, seamlessly blending classical concepts with contemporary computational applications, particularly in the field of image processing. The classical perspective draws upon foundational topics explored by pioneers such as Euler and Lagrange, establishing a solid theoretical groundwork. In recent decades, the advent of disciplines such as computer vision has expanded the horizons of variational calculus, showcasing its effectiveness in addressing complex problems that necessitate computational solutions. Consequently, this book places a strong emphasis on the synergy between mathematical theory, practical applications, and algorithmic development. To ensure the text is comprehensive and accessible, essential principles of functional analysis and Fourier analysis are incorporated, facilitating a deeper and more nuanced understanding of the applications presented. Covering both classic and more recent aspects of variational calculus, this book suggests that many topics of modern technology such as computer vision, robotics and especially digital image processing can be formulated in terms of variational problems.

ISBN: 9783031772702$q(electronic bk.)

Standard No.: 10.1007/978-3-031-77270-2doiSubjects--Topical Terms:

191127
Calculus of variations.

LC Class. No.: QA315 / .M66 2025

Dewey Class. No.: 515.64

An introduction to variational calculusapplications in image processing /
LDR:02458nmm a2200325 a 4500 001 678515
003 DE-He213
005 20241223115453.0
006 m o d
007 cr nn 008maaau
008 251031s2025 sz s 0 eng d
020 $a 9783031772702$q(electronic bk.)
020 $a 9783031772696$q(paper)
024 7 $a 10.1007/978-3-031-77270-2 $2 doi
035 $a 978-3-031-77270-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA315 $b .M66 2025
072 7 $a UYQV $2 bicssc
072 7 $a COM016000 $2 bisacsh
072 7 $a UYQV $2 thema
082 0 4 $a 515.64 $2 23
090 $a QA315 $b .M775 2025
100 1 $a Montegranario, Hebert. $3 679517
245 1 3 $a An introduction to variational calculus $h [electronic resource] : $b applications in image processing / $c by Hebert Montegranario.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a x, 149 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Mathematical Preliminaries -- Linear Operators and Functionals -- Minimization of Functionals -- Inverse Problems and Variational Regularization -- Variational Curve and Surface Interpolation -- Further Models and Applications.
520 $a This textbook introduces variational calculus and regularization methods for inverse problems, seamlessly blending classical concepts with contemporary computational applications, particularly in the field of image processing. The classical perspective draws upon foundational topics explored by pioneers such as Euler and Lagrange, establishing a solid theoretical groundwork. In recent decades, the advent of disciplines such as computer vision has expanded the horizons of variational calculus, showcasing its effectiveness in addressing complex problems that necessitate computational solutions. Consequently, this book places a strong emphasis on the synergy between mathematical theory, practical applications, and algorithmic development. To ensure the text is comprehensive and accessible, essential principles of functional analysis and Fourier analysis are incorporated, facilitating a deeper and more nuanced understanding of the applications presented. Covering both classic and more recent aspects of variational calculus, this book suggests that many topics of modern technology such as computer vision, robotics and especially digital image processing can be formulated in terms of variational problems.
650 0 $a Calculus of variations. $3 191127
650 0 $a Image processing $x Mathematics. $3 184606
650 1 4 $a Computer Vision. $3 913138
650 2 4 $a Image Processing. $3 273705
650 2 4 $a Calculus of Variations and Optimization. $3 913393
650 2 4 $a Mathematical Applications in Computer Science. $3 530811
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-77270-2
950 $a Computer Science (SpringerNature-11645)