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A majorization–minimization-based method for nonconvex inverse rig problems in facial animation: algorithm derivation
Automated methods for facial animation are a necessary tool in the modern industry since the standard blendshape head models consist of hundreds of...
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Introductory Material to Animation and Learning
In this chapter, we introduce concepts in computer animation, starting with physics-based animation. We revise the main steps of the pipeline... -
Deep Learning for Fluid Simulation and Animation Fundamentals, Modeling, and Case Studies
This book is an introduction to the use of machine learning and data-driven approaches in fluid simulation and animation, as an alternative to... -
Correction to: Deep Learning for Fluid Simulation and Animation
This book was inadvertently published with incorrect affiliations. The correct affiliation of the author Leandro Tavares da Silva is as follows: -
Animal Shapes, Modal Analysis, and Visualization of Motion (I): Horse and Camel
Eigenfunctions and eigenvalues of physical systems and engineering structures can reveal many of the system’s fundamental features and, therefore,...
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Neural Networks Universality, Geometric, and Dynamical System Elements for Fluid Animation
In this chapter, we start with basic elements of Boolean expressions and circuit theory to define a background to study neural networks as... -
MapleTM
Übersicht 20.1 Differentialoperatoren mit MapleTM 20.2 Koordinatentransformationen für Skalar- und Vektorfelder mit... -
Perspectives and Final Remarks
In this chapter, we consider perspectives in deep learning for fluid animation. Firstly, the input data generation for neural network training... -
MapleTM
Übersicht 25.1 Eingabe und Multiplikation von Matrizen und Vektoren mit MapleTM 25.2 Gram-Schmidt-Orthogonalisierung mit... -
Optimal Subalgebra of GKP by Using Killing Form, Conservation Law and Some More Solutions
The (2+1)-dimensional Gardner–Kadomtsov–Petviashvili (GKP) is an internal shallow water wave. Optimal subalgebra and invariants for the GKP are...
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Der Goldene Schnitt Geometrische und zahlentheoretische Betrachtungen
Dieses Buch veranschaulicht zentrale mathematische Aspekte des Goldenen Schnittes: Es geht insbesondere auf geometrische und zahlentheoretische...
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Matlab®
Übersicht 21.1 Animation mit Matlab® 21.2 Grafische Eingabe mit Matlab® 21.3 Vektorfelder mit Matlab® 21.4... -
Spirals, Helical Lines, and Spiral-Like Figures Mathematical Playfulness in Two and Three Dimensions
In this book you will discover the mathematical patterns and regularities of various spirals, helixes and spiral-like figures. Their geometric... -
Animal Shapes, Modal Analysis, and Visualization of Motion (III): Giraffe, Duck, Goose, T-Rex Dinosaur, and the Flying Modes of Eagle
This paper contains more varieties of animals, including the giraffe, bird species duck, goose and eagle, and the T-Rex dinosaur. They range across...
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Introduction
Sound simulation deals with synthesis, propagation, and rendering of audio effects. It is well known that modeling sound effects and spatialized... -
Modellierung mit dem Warteschlangensimulator
In den folgenden Kap. 7 , 8 und 9... -
From Sketches to Morphing: New Geometric Views on the Epistemological Role of Drawing
Geometry, in the modern sense of the term, is based on the study of transformations. The diversity of those transformations has recently been used to... -
Spiralen, Schraubenlinien und spiralartige Figuren Mathematische Spielereien in zwei und drei Dimensionen
In diesem Buch entdecken Sie die mathematischen Muster und Regelmäßigkeiten verschiedener Spiralen, Schraubenlinien und spiralartiger Figuren. Deren... -
Computational Design and Fabrication Strategy for Topology Optimization of Spiral Staircase Using Metal Wire Arc Additive Manufacturing
The study presents the integration of Topology Optimization (TO) as a design strategy and Wire Arc Additive Manufacturing (WAAM) as a fabrication...
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Automated Exploration of Envelopes and Offsets with Networking of Technologies
We explore envelopes and offsets of plane curves using automated methods, based on the usage of Computer Algebra Systems and Dynamical Geometry...