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Mathematical Progress in Expressive Image Synthesis I

Part of the Mathematics for Industry Book Series (volume 4)

Editors: Anjyo, Ken

DOI: 10.1007/978-4-431-55007-5

ISBN: 978-4-431-55006-8

Publisher: Springer Japan - Springer Journals

May 30, 2014

1 - 10 of 22 Chapters

Available

The Power of Orthogonal Duals (Invited Talk)

Desbrun, Mathieu; de Goes, Fernando

Pages: 3 –6

[Triangle meshes have found widespread acceptance in computer graphics as a simple, convenient, and versatile representation of surfaces. In particular, computing on such simplicial meshes is a workhorse in a variety of graphics applications. In this context, mesh duals (tied to Poincaré duality...
Available

Mathematical Models of Visual Information Processing in the Human Brain and Applications to Visual Illusions and Image Processing

Arai, Hitoshi

Pages: 7 –12

[This chapter is a survey of a series of joint works of Shinobu Arai and me. The main purpose of our study is to construct mathematical models of visual information processing in the brain, and to give applications to study of visual illusions and image processing. In this chapter I will describe...
Available

Decomposition and Clustering for the Visualization of Dynamical Systems

Arai, Zin

Pages: 13 –20

[We discuss recently developed methods for the visualization of dynamical systems which are based on the decomposition of the phase space of the system. The information of the system is represented by a directed graph and then the graph will be decomposed into smaller subsets which eventually...
Available

Probable and Improbable Faces

Lewis, J. P.; Mo, Zhenyao; Anjyo, Ken; Rhee, Taehyun

Pages: 21 –30

[The multivariate normal is widely used as the expected distribution of face shape. It has been used for face detection and tracking in computer vision, as a prior for facial animation editing in computer graphics, and as a model in psychological theory. In this contribution we consider the...
Available

Progress in Digital Sound Synthesis for Physically Based Animation (Invited Talk)

James, Doug L.

Pages: 33 –35

[Natural sounds are all around us. The sound of my son struggling to get out of his wet rain coat, or rain boots squeaking across the floor. The sound of lemonade pouring into an ice-filled glass, or the ocean crashing at your feet. In this chapter I describe progress toward the sound synthesis...
Available

Efficient Image-Based Rendering Method Using Spherical Gaussian

Iwasaki, Kei

Pages: 37 –42

[Image-based rendering methods have been widely used to render realistic images of scenes illuminated by real-world, complex lighting. Recent advances on image-based rendering methods have revealed that spherical Gaussian functions have several nice properties for rendering and are suited to...
Available

A Lie Theoretic Proposal on Algorithms for the Spherical Harmonic Lighting

Wakayama, Masato

Pages: 43 –54

[The spherical harmonics are the angular portion of the solution to the Laplace equation in spherical coordinates and provide a frequency-basis for representing functions on the sphere. The spherical harmonic lighting, as defined by Robin Green at Sony Computer Entertainment in 2003, is a family...
Available

Interactive Editing of Volumetric Objects by Using Feature-Based Transfer Function

Shibukawa, Yuhei; Dobashi, Yoshinori; Yamamoto, Tsuyoshi

Pages: 55 –62

[This chapter focuses on the rendering of fluids represented by volumetric datasets. Generally, volume data can be visualized by a volume rendering technique. The result depends on the transfer function that converts a volume data into a colored volume. However, it is often difficult to create...
Available

Feature-Based Approach for the Interactive Editing of Environmental Lighting Effects

Tada, Munehiro; Dobashi, Yoshinori; Yamamoto, Tsuyoshi

Pages: 63 –70

[In computer graphics, it is not always guaranteed to generate user-desired shading effects by physically correct shading algorithms, due to the high computational cost and laborious work for parameter tuning. On the other hand, environmental map is a popular technique to create realistic shading...
Available

Ray Tracing of Quadratic Parametric Surface

Ogaki, Shinji

Pages: 71 –78

[Over the past decades, vast research has been done on the ray-triangle intersect test but not much attention has been paid to the ray-quadratic parametric surface intersection test. In this chapter we present two direct ray tracing methods for quadratic parametric surfaces and introduce a simple...

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