Essays about: "Laplacian operator"

Showing result 1 - 5 of 6 essays containing the words Laplacian operator.

  1. 1. Symmetry in a free boundary problem

    University essay from KTH/Matematik (Avd.)

    Author : Seuri Basilio Kuosmanen; [2023]
    Keywords : Analysis of PDEs; Bernoulli-type boundary condition; free boundary problem; Laplacian operator; method of moving planes; symmetry; Analys av PDEs; Bernoulli-typ randvärde; frirandsproblem; Laplaceoperatorn; moving-plane metoden; symmetri;

    Abstract : We consider a variational formulation of a Bernoulli-type free boundary problem for the Laplacian operator with discontinuous boundary data. We show the existence of a weak solution to the problem. Moreover, we show that the solution has symmetry properties inherited by symmetric data. READ MORE

  3. 2. Click me: thumbnail extraction for fashion videos : An approach for selecting engaging video thumbnails based on clothing identification, sharpness, and contrast.

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Isabel Redtzer; [2023]
    Keywords : Thumbnail Extraction; User Engagement; Object Identification; YOLO; Laplacian Operator; Miniatyrbildsextraktion; Användarengagemang; Objektidentifiering; YOLO; Laplaceoperatorn;

    Abstract : Video thumbnails are essential to represent the content and summary of a video. This thesis proposed a thumbnail extraction approach for fashion videos based on the presence of clothing items, sharpness, and contrast. Furthermore, this thesis investigated how the proposed thumbnail selection method performed concerning user engagement. READ MORE

  4. 3. Properties of Discrete Laplacians With Application on Brain Networks

    University essay from KTH/Matematisk statistik

    Author : David Thinsz; [2022]
    Keywords : Graph Laplacian; Combinatorial Laplacian; Persistent Laplacian; Topological data analysis; Spectral theory; Homology; Clustering.; Graf-Laplacian; Kombinatorisk Laplacian; Beständig Laplacian; Topologisk dataanalys; Spektralteori; Homologi; Klustring.;

    Abstract : This thesis investigates three discrete Laplace operators: the graph Laplacian, combinatorial Laplacian, and the more recently introduced persistent Laplacian. We discuss how these operators relate to each other and study their spectral properties. The graph Laplacian is a well-studied operator that plays a central role in spectral graph theory. READ MORE

  5. 4. Image Processing using Graph Laplacian Operator

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : David Wobrock; [2019]
    Keywords : ;

    Abstract : The latest image processing methods are based on global data-dependent filters. These methods involve huge affinity matrices which cannot fit in memory and need to be approximated using spectral decomposition. READ MORE

  6. 5. Mathematical Foundations of Quantum Mechanics

    University essay from

    Author : Anders Israelsson; [2013]
    Keywords : Mathematics; Physics; Quantum Mechanics; Uncertainty Principle; Functional; Self-adjoint; Hermitian; Hilbertspace; Dynamics; Commutator; Hydrogen Atom; Lower Bound Estimate; Laplacian; Matematik; Fysik; Kvantfysik; Kvantmekanik; Heisenberg; Obestämdhetsrelation; Schrödinger; Planck; Funktional; Analys; Självadjungerad; Hermitisk; Operator; Hilbertrum; Hamiltonian; Dynamik; Kommutator; Väteatom; Nedåtbegränsning; Laplace;

    Abstract : .... READ MORE