Compendium of Publications on: Differential Operators on Manifolds for CAD CAM CAE and Computer Graphics
MetadataShow full item record
This Doctoral Thesis develops novel articulations of Differential Operators on Manifolds for applications on Computer Aided Design, Manufacture and Computer Graphics, as follows: (1) Mesh Parameterization and Segmentation. Development and application of Laplace-Beltrami, Hessian, Geodesic and Curvature operators for topology and geometry – driven segmentations and parameterizations of 2-manifold triangular meshes. Applications in Reverse Engineering, Manufacturing and Medicine. (2) Computing of Laser-driven Temperature Maps in thin plates. Spectral domain - based analytic solutions of the transient, non-homogeneous heat equation for simulation of temperature maps in multi-laser heated thin plates, modeled as 2-manifolds plus thickness. (3) Real-time estimation of dimensional compliance of hot out-of-forge workpieces. A Special Orthogonal SO(3) transformation between 2-manifolds is found, which enables a distance operator between 2-manifolds in R^3 (or m-manifolds in R^n). This process instruments the real-time assessment of dimensional compliance of hot workpieces, in the factory floor shop. (4) Slicing or Level-Set computation for 2-manifold triangular meshes in Additive Manufacturing. Development of a classification of non-degenerate (i.e. non-singular Hessian) and degenerate (i.e. singular Hessian) critical points of non-Morse functions on 2-manifold objects, followed by computation of level sets for Additive Manufacturing. Most of the aforementioned contributions have been screened and accepted by the international scientific community (and published). Non-published material corresponds to confidential developments which are commercially exploited by the sponsors and therefore banned from dissemination.
Showing items related by title, author, creator and subject.
Khanteimouri, Payam; Mandad, Manish; Campen, Marcel (The Eurographics Association and John Wiley & Sons Ltd., 2022)We present a reliable method to generate planar meshes of nonlinear rational triangular elements. The elements are guaranteed to be valid, i.e. defined by injective rational functions. The mesh is guaranteed to conform ...
Huang, Zeyang; Witschard, Daniel; Kucher, Kostiantyn; Kerren, Andreas (The Eurographics Association and John Wiley & Sons Ltd., 2023)Over the past years, an increasing number of publications in information visualization, especially within the field of visual analytics, have mentioned the term ''embedding'' when describing the computational approach. ...
Personalised Authentic assessments with Synchronous Learning Activities: a Framework for Teaching Visualisation and Graphics Roberts, Jonathan C. (The Eurographics Association, 2022)We present an activities framework for learning visualisation and computer graphics. The framework pivots around the academic developing an authentic learning scenario that is personalised for every student, followed by a ...