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Mathematical Insights into Advanced Computer Graphics Techniques

Part of the Mathematics for Industry Book Series (volume 32)

Editors: Dobashi, Yoshinori; Kaji, Shizuo; Iwasaki, Kei

DOI: 10.1007/978-981-13-2850-3

ISBN: 978-981-13-2849-7

Publisher: Springer Singapore - Springer Journals

Nov 28, 2018

1 - 10 of 12 Chapters

Available

Mathematics in Computer Graphics

Dobashi, Yoshinori

Pages: 1 –4

[Computer graphics is a field to create pictures by computers. The origin of computer graphics was the sketchpad system developed by Sutherland (Ivan, DAC’64 Proceedings of the SHARE design automation workshop, pp 6329–6346, 1964, [1]). This system was designed to help the user to create line...
Available

Micro-appearance Modeling of Fabrics

Zhao, Shuang

Pages: 7 –33

[Fabrics are essential to our everyday lives. Modeling and reproducing the appearance of fabrics have been an active research topic in computer graphics for decades. Traditionally, fabrics are treated as infinitely thin 2D sheets. These surface-based reflectance models, although being...
Available

Measuring the Light Reflectance with Mobile Devices

Ďurikovič, Roman; Mihálik, Andrej; Ballon, Branislav; Kunovský, Pavol

Pages: 35 –49

[In this article, we propose a methodology to measure the light reflectance of the material surface using a simple hardware set-up consisting of generally available mobile phones. The designed method incorporates two mobile phones to facilitate a time-consuming procedure. One device serves us as...
Available

Sparkling Effect in Virtual Reality Device

Ďurikovič, Roman; Kunovská, Lucia; Mihálik, Andrej

Pages: 51 –58

[This paper discusses the method to display the surfaces that exhibit sparkling and depth effects. Sparkling effects are usually caused by the metallic flakes diffused in the paint or coating. The novelty of the approach is to explicitly model the sparkle normal vectors for rendering using an...
Available

Dappled Tiling

Kaji, Shizuo; Derouet-Jourdan, Alexandre; Ochiai, Hiroyuki

Pages: 59 –72

[We consider a certain tiling problem of a planar region in which there are no long horizontal or vertical strips consisting of copies of the same tile. Intuitively speaking, we would like to create a dappled pattern with two or more kinds of tiles. We give an efficient algorithm to turn any...
Available

Procedural Non-Uniform Cellular Noise

Jonchier, Théo; Salvati, Marc; Derouet-Jourdan, Alexandre

Pages: 73 –85

[Procedural cellular textures have been widely used in movie production to reproduce various natural and organic looks. The advantage of procedural texture is to trade memory for computer power and obtain potentially unlimited resolution. In this paper, we propose to compute non-uniform density...
Available

Just Enough Non-linearity

Kim, Theodore

Pages: 89 –108

[Most of the phenomena that are relevant to computer animation are inherently non-linear. These include the equations governing the flow of smoke and water, the dynamics of skin and flesh, and functions that form intricate Julia sets. Which of these non-linearities are visually important, and...
Available

An Efficient Cloud Simulation with Adaptive Grid Structure

Suzuki, Kei; Dobashi, Yoshinori; Yamamoto, Tsuyoshi

Pages: 109 –118

[We propose an efficient simulation method for clouds by using an adaptive grid structure to cloud simulation. We apply a grid structure proposed by Zhu et al. (ACM Trans Graph 32:63:1–63:2, 2012, [2]) to cloud simulation. This grid is an extension of a uniform grid and dynamically extends the...
Available

Recent Progress in Simulations of 3D Vortex Sheets with Surface Tension

Koga, Kazuki; Funakoshi, Mitsuaki

Pages: 119 –129

[Numerical simulations of vortex sheets have a long history. The major advantage of the vortex sheet model lies in the efficiency of its boundary integral formulation, which allows us to avoid expensive computations of volumetric equations in some important problems. Although some researchers in...
Available

Physics-Based Computational Design for Digital Fabrication

Zheng, Changxi

Pages: 133 –149

[Physics-based simulation models have been long studied in computer graphics. The current trend is to capture complex physical phenomena that have multi-physics, multi-scale, and multi-modality. Meanwhile, the advent of digital manufacturing techniques is also striking. The barrier of making...

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