The origami introduced in this book is based on simple techniques. Some were previously known by origami artists and some were discovered by the author. Curved-Folding Origami Design shows a way to explore new area of origami composed of curved folds. Each technique is introduced in a step-by-step fashion, followed by some beautiful artwork examples. A commentary explaining the theory behind the technique is placed at the end of each chapter.

Features

The origami introduced in this book is based on simple techniques. Some were previously known by origami artists and some were discovered by the author. Curved-Folding Origami Design shows a way to explore new area of origami composed of curved folds. Each technique is introduced in a step-by-step fashion, followed by some beautiful artwork examples. A commentary explaining the theory behind the technique is placed at the end of each chapter.

Features

Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual to design them.

This book begins by explaining general design methods, the history and definitions of origami tessellations, and the geometric features of flat origami, before moving on to introduce a brand-new design method: the "twist-based design method." This method generates base parts that connect "twist patterns” (that can be folded with a twist) without using a lattice. Therefore, it can generate base parts such as regular pentagons, which cannot be generated with more conventional methods, and can generate new origami tessellations connected to them.

Features:

Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual to design them.

This book begins by explaining general design methods, the history and definitions of origami tessellations, and the geometric features of flat origami, before moving on to introduce a brand-new design method: the "twist-based design method." This method generates base parts that connect "twist patterns” (that can be folded with a twist) without using a lattice. Therefore, it can generate base parts such as regular pentagons, which cannot be generated with more conventional methods, and can generate new origami tessellations connected to them.

Features:

Easily Create Origami with Curved Folds and Surfaces

Origami—making shapes only through folding—reveals a fascinating area of geometry woven with a variety of representations. The world of origami has progressed dramatically since the advent of computer programs to perform the necessary computations for origami design.

3D Origami Art presents the design methods underlying 3D creations derived from computation. It includes numerous photos and design drawings called crease patterns, which are available for download on the author’s website. Through the book’s clear figures and descriptions, readers can easily create geometric 3D structures out of a set of lines and curves drawn on a 2D plane.

The author uses various shapes of sheets such as rectangles and regular polygons, instead of square paper, to create the origami. Many of the origami creations have a 3D structure composed of curved surfaces, and some of them have complicated forms. However, the background theory underlying all the creations is very simple. The author shows how different origami forms are designed from a common theory.

Easily Create Origami with Curved Folds and Surfaces

Origami—making shapes only through folding—reveals a fascinating area of geometry woven with a variety of representations. The world of origami has progressed dramatically since the advent of computer programs to perform the necessary computations for origami design.

3D Origami Art presents the design methods underlying 3D creations derived from computation. It includes numerous photos and design drawings called crease patterns, which are available for download on the author’s website. Through the book’s clear figures and descriptions, readers can easily create geometric 3D structures out of a set of lines and curves drawn on a 2D plane.

The author uses various shapes of sheets such as rectangles and regular polygons, instead of square paper, to create the origami. Many of the origami creations have a 3D structure composed of curved surfaces, and some of them have complicated forms. However, the background theory underlying all the creations is very simple. The author shows how different origami forms are designed from a common theory.

This book equips readers with the fundamentals of 3DCG that support the advanced technologies. The content of this book is divided into four categories: modeling, rendering, character animation, and physical simulation, and each is explained in a separate chapter. In simpler terms, these four technologies can be described as creating shapes, creating images, creating motion, and reproducing the behavior of the natural world. The "Modeling" chapter describes the theory behind describing the shape of an object using surface meshes and then editing and manipulating them. The chapter "Rendering" focuses on the calculation of the luminance of an object''s surface, and describes methods for calculating global illumination and generating fast images using precomputation to produce realistic images. Physical phenomena such as light scattering, which is necessary to improve realism, are also explained. The "Character Animation" chapter introduces the skeleton method, a standard technique in animation production, and describes various animation editing techniques for humanoid character models. Finally, the chapter on "Physical Simulation" describes methods to compute the behavior of complex natural phenomena, including not only hard objects but also flowing objects such as water and air. The four topics listed here are the fundamental elements that support 3DCG. The chapters were written by researchers who are active at the forefront of their respective fields. Each of the authors has a remarkable track record and can be said to have led the development of 3DCG technology in Japan with their wealth of experience and knowledge.

To understand the mathematical content of this book, basic knowledge of analysis and linear algebra is required. This book is suitable for upper undergraduate and graduate students in computer science, engineering, and other fields in science, and is also useful for practitioners in game production and those who are interested in 3DCG.

The origami introduced in this book is based on simple techniques. Some were previously known by origami artists and some were discovered by the author. Curved-Folding Origami Design shows a way to explore new area of origami composed of curved folds. Each technique is introduced in a step-by-step fashion, followed by some beautiful artwork examples. A commentary explaining the theory behind the technique is placed at the end of each chapter.

Features

The origami introduced in this book is based on simple techniques. Some were previously known by origami artists and some were discovered by the author. Curved-Folding Origami Design shows a way to explore new area of origami composed of curved folds. Each technique is introduced in a step-by-step fashion, followed by some beautiful artwork examples. A commentary explaining the theory behind the technique is placed at the end of each chapter.

Features

Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual to design them.

This book begins by explaining general design methods, the history and definitions of origami tessellations, and the geometric features of flat origami, before moving on to introduce a brand-new design method: the "twist-based design method." This method generates base parts that connect "twist patterns” (that can be folded with a twist) without using a lattice. Therefore, it can generate base parts such as regular pentagons, which cannot be generated with more conventional methods, and can generate new origami tessellations connected to them.

Features:

Design Techniques for Origami Tessellations is both a collection of origami tessellations and a manual to design them.

This book begins by explaining general design methods, the history and definitions of origami tessellations, and the geometric features of flat origami, before moving on to introduce a brand-new design method: the "twist-based design method." This method generates base parts that connect "twist patterns” (that can be folded with a twist) without using a lattice. Therefore, it can generate base parts such as regular pentagons, which cannot be generated with more conventional methods, and can generate new origami tessellations connected to them.

Features:

Easily Create Origami with Curved Folds and Surfaces

Origami—making shapes only through folding—reveals a fascinating area of geometry woven with a variety of representations. The world of origami has progressed dramatically since the advent of computer programs to perform the necessary computations for origami design.

3D Origami Art presents the design methods underlying 3D creations derived from computation. It includes numerous photos and design drawings called crease patterns, which are available for download on the author’s website. Through the book’s clear figures and descriptions, readers can easily create geometric 3D structures out of a set of lines and curves drawn on a 2D plane.

The author uses various shapes of sheets such as rectangles and regular polygons, instead of square paper, to create the origami. Many of the origami creations have a 3D structure composed of curved surfaces, and some of them have complicated forms. However, the background theory underlying all the creations is very simple. The author shows how different origami forms are designed from a common theory.

Easily Create Origami with Curved Folds and Surfaces

Origami—making shapes only through folding—reveals a fascinating area of geometry woven with a variety of representations. The world of origami has progressed dramatically since the advent of computer programs to perform the necessary computations for origami design.

3D Origami Art presents the design methods underlying 3D creations derived from computation. It includes numerous photos and design drawings called crease patterns, which are available for download on the author’s website. Through the book’s clear figures and descriptions, readers can easily create geometric 3D structures out of a set of lines and curves drawn on a 2D plane.

The author uses various shapes of sheets such as rectangles and regular polygons, instead of square paper, to create the origami. Many of the origami creations have a 3D structure composed of curved surfaces, and some of them have complicated forms. However, the background theory underlying all the creations is very simple. The author shows how different origami forms are designed from a common theory.

This book equips readers with the fundamentals of 3DCG that support the advanced technologies. The content of this book is divided into four categories: modeling, rendering, character animation, and physical simulation, and each is explained in a separate chapter. In simpler terms, these four technologies can be described as creating shapes, creating images, creating motion, and reproducing the behavior of the natural world. The "Modeling" chapter describes the theory behind describing the shape of an object using surface meshes and then editing and manipulating them. The chapter "Rendering" focuses on the calculation of the luminance of an object''s surface, and describes methods for calculating global illumination and generating fast images using precomputation to produce realistic images. Physical phenomena such as light scattering, which is necessary to improve realism, are also explained. The "Character Animation" chapter introduces the skeleton method, a standard technique in animation production, and describes various animation editing techniques for humanoid character models. Finally, the chapter on "Physical Simulation" describes methods to compute the behavior of complex natural phenomena, including not only hard objects but also flowing objects such as water and air. The four topics listed here are the fundamental elements that support 3DCG. The chapters were written by researchers who are active at the forefront of their respective fields. Each of the authors has a remarkable track record and can be said to have led the development of 3DCG technology in Japan with their wealth of experience and knowledge.

To understand the mathematical content of this book, basic knowledge of analysis and linear algebra is required. This book is suitable for upper undergraduate and graduate students in computer science, engineering, and other fields in science, and is also useful for practitioners in game production and those who are interested in 3DCG.